kopia lustrzana https://github.com/gabrielegilardi/SignalFilters
update directory structure
rodzic
005954e7b2
commit
c036881614
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@ -4,11 +4,39 @@ Class for filter/smooth data.
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Copyright (c) 2020 Gabriele Gilardi
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ToDo:
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- generalize to multidimensional input arrays
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- use NaN or input values for points not filtered?
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- plot filtered data
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- add plot filter
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N = order/smoothing factor/number of past bars
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alpha = damping term
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General b,a Generic case (param = [b; a])
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SMA N Simple Moving Average
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EMA N Exponential Moving Average
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PassBand P,delta Pass band filter
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StopBand P,delta Stop band filter
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InstTrendline alpha Instantaneous trendline
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GaussLow P,N Gauss, low pass (must be P > 1)
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ZEMA1 N,K,Vn Zero-lag EMA (type 1)
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ZEMA2 N,K Zero-lag EMA (type 2)
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LWMA N Linearly Weighted Moving Average
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MSMA N Modified Simple Moving Average
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MLSQ N Modified Least-Squares Quadratic
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GaussHigh P,N Gauss, high pass (must be P > 4)
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ButterOrig P,N Butterworth original, order N (2 or 3)
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ButterMod P,N Butterworth modified, order N (2 or 3)
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SuperSmoother P, N Super smoother
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SincFunction N Sinc function (N > 1, cut off at 0.5/N)
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b Coefficients at the numerator
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a Coefficients at the denominator
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P Cut of period (50% power loss, -3 dB)
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N Order/smoothing factor
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K Coefficient/gain
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Vn Look back bar for the momentum
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delta Band centered in P and in percent
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(0.3 => 30% of P, = 0.3*P, if P = 10 => 0.3*10 = 3)
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alpha Damping term
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nt Times the filter is called (order)
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"""
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@ -16,45 +44,44 @@ import sys
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import numpy as np
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def Generalized(X, b, a):
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def filter_data(X, b, a):
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"""
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Applies a generic filter
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Applies a generic filter.
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Inputs:
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X Data to filter
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X (n_samples, n_series) Data to filter
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b Transfer response coefficients (numerator)
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a Transfer response coefficients (denominator)
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Outputs:
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Y Filtered data
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idx Index first element in Y actually filtered
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idx Index of the first element in Y filtered
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Elements from 0 to (idx-1) are set equal to NaN.
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Notes:
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- the filter is applied from element 0 to len(X).
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- elements from 0 to (idx-1) are set equal to the original input.
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"""
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# Initialize
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nel_X = len(X)
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nel_b = len(b)
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nel_a = len(a)
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idx = np.amax([0, nel_b-1, nel_a-1])
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n_samples, n_series = X.shape
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Nb = len(b)
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Na = len(a)
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idx = np.amax([0, Nb-1, Na-1])
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Y = X.copy()
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# Apply filter
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for i in range(idx, nel_X):
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tmp = 0.0
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for i in range(idx, n_samples):
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tmp = np.zeros(n_series)
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# Contribution from [b] (numerator)
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for j in range(nel_b):
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tmp = tmp + b[j] * X[i-j]
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for j in range(Nb):
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tmp = tmp + b[j] * X[i-j,:]
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# Contribution from [a] (denominator)
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for j in range(1, nel_a):
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tmp = tmp - a[j] * Y[i-j]
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for j in range(1, Na):
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tmp = tmp - a[j] * Y[i-j, :]
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# Filtered value
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Y[i] = tmp / a[0]
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# Set elements from 0 to (idx-1) equal to NaN
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Y[0:idx] = np.nan
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Y[i,:] = tmp / a[0]
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return Y, idx
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@ -63,57 +90,58 @@ class Filter:
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def __init__(self, X):
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"""
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X (nel_X, ) Data to filter
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"""
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self.X = np.asarray(X)
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self.nel = len(X)
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self.n_samples, self.n_series = X.shape
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self.idx = 0
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def SMA(self, N=10):
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"""
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Simple Moving Average
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N = order/smoothing factor
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Simple moving average (type ???).
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"""
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b = np.ones(float(N)) / float(N)
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b = np.ones(N) / N
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a = np.array([1.0])
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Y, self.idx = Generalized(self.X, b, a)
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Y, self.idx = filter_data(self.X, b, a)
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return Y
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def EMA(self, N=10):
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def EMA(self, N=10, alpha=None):
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"""
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Exponential Moving Average
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N = order/smoothing factor
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The damping term <alpha> is determined as equivalent to a N-SMA
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Exponential moving average (type ???).
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If <alpha> is not given it is determined as equivalent to a N-SMA.
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"""
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alpha = 2.0 / (float(N) + 1.0)
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if (alpha is None):
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alpha = 2.0 / (N + 1.0)
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b = np.array([alpha])
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a = np.array([1.0, alpha-1.0])
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Y, self.idx = Generalized(self.X, b, a)
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a = np.array([1.0, alpha - 1.0])
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Y, self.idx = filter_data(self.X, b, a)
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return Y
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def InstTrend(self, alpha=0.5):
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"""
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Instantaneous Trendline (2nd order, IIR, low pass, Ehlers)
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alpha = damping term
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Instantaneous Trendline (2nd order, IIR, low pass, Ehlers.)
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"""
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b = np.array([(alpha-alpha**2/4.0), (alpha**2/2.0),
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-(alpha-3.0*alpha**2/4.0)])
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a = np.array([1.0, -2.0*(1.0-alpha), (1.0-alpha)**2])
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Y, self.idx = Generalized(self.X, b, a)
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b = np.array([alpha - alpha ** 2.0 / 4.0, alpha ** 2.0 / 2.0,
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- alpha + 3.0 * alpha ** 2.0 / 4.0])
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a = np.array([1.0, - 2.0 * (1.0 - alpha), (1.0 - alpha) ** 2.0])
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Y, self.idx = filter_data(self.X, b, a)
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return Y
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def PassBand(self, P=5, delta=0.3):
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"""
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Pass Band
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Pass Band (type ???).
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P = cut-off period (50% power loss, -3 dB)
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delta = band centered in P and in percent
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(Example: 0.3 => 30% of P => 0.3*P, if P = 10 => 0.3*10 = 3)
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"""
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beta = np.cos(2.0 * pi / float(P))
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gamma = np.cos(2.0*pi*(2.0*delta)/float(P))
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beta = np.cos(2.0 * np.pi / P)
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gamma = np.cos(4.0 * np.pi * delta) / P
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alpha = 1.0 / gamma - np.sqrt(1.0 / gamma ** 2 - 1.0)
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b = np.array([(1.0-alpha)/2.0, 0.0, -(1.0-alpha)/2.0])
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a = np.array([1.0, -beta*(1.0+alpha), alpha])
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Y, self.idx = Generalized(self.X, b, a)
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b = np.array([(1.0 - alpha) / 2.0, 0.0, - (1.0 - alpha) / 2.0])
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a = np.array([1.0, - beta * (1.0 + alpha), alpha])
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Y, self.idx = filter_data(self.X, b, a)
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return Y
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def StopBand(self, P=5, delta=0.3):
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@ -166,3 +194,13 @@ class Filter:
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a = np.array([1.0, -(1.0-alpha)])
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Y, self.idx = Generalized(self.X, b, a)
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return Y
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def Generalized(self, a, b):
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"""
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Generic filter with transfer response coefficients <a> and <b>
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"""
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b = np.asarray(b)
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a = np.asarray(a)
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Y, self.idx = filter_data(self.X, b, a)
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return Y
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|
|
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|
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|
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|
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|
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|
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|
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|
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|
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119.6430234
|
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79.82081659
|
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|
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|
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|
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102.6591517
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83.90991997
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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113.5856281
|
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|
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|
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|
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|
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|
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|
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78.84954727
|
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103.2281991
|
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128.2015951
|
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94.42699371
|
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103.9150872
|
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81.92716427
|
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100.1234421
|
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100.2498074
|
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138.3697542
|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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112.6979065
|
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|
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107.6177896
|
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|
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115.8610687
|
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|
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87.68995605
|
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123.1897901
|
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|
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|
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|
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|
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118.5306661
|
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|
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|
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111.3604642
|
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112.3225746
|
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|
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|
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103.2442121
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111.7224927
|
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109.4991855
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88.00131205
|
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|
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|
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106.9974557
|
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96.14400112
|
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90.63832437
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108.8355253
|
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104.3734085
|
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92.147686
|
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96.39533626
|
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111.2250368
|
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81.65078792
|
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99.81066025
|
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98.01276717
|
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78.07720187
|
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85.8005895
|
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99.30102938
|
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87.2291675
|
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85.05404714
|
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|
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105.1660088
|
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86.63556105
|
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99.86613219
|
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93.77406649
|
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104.6050015
|
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90.43610971
|
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107.7273762
|
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96.01179742
|
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112.8139616
|
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94.65978303
|
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87.56220328
|
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85.12668017
|
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90.07825587
|
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81.64916045
|
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89.00651045
|
||||
93.38843
|
||||
89.3393326
|
||||
108.8127612
|
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79.78539833
|
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79.33010316
|
||||
84.40458774
|
||||
74.22738983
|
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95.13661005
|
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88.4526456
|
||||
80.6699032
|
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96.01623242
|
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104.8575109
|
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83.05433277
|
||||
94.47077054
|
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95.42820344
|
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83.45761942
|
||||
77.16736072
|
||||
108.7108433
|
||||
88.2118547
|
||||
89.09641098
|
||||
84.22192739
|
||||
96.70630031
|
||||
103.73901
|
||||
95.14031225
|
||||
77.62110462
|
||||
89.47014925
|
||||
97.66069651
|
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|
||||
105.1499812
|
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|
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103.0872119
|
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86.4214719
|
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94.98891096
|
||||
105.3251198
|
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84.07151501
|
||||
90.96977702
|
||||
84.47679852
|
||||
87.56417784
|
||||
71.36401469
|
||||
93.52952914
|
||||
85.30760156
|
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106.4928465
|
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109.1869557
|
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95.51556128
|
||||
95.57814343
|
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106.6067326
|
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103.8086802
|
||||
78.22465239
|
||||
90.84343693
|
||||
102.6572335
|
||||
93.37748269
|
||||
93.00855817
|
||||
133.3098287
|
||||
92.02010694
|
||||
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|
||||
89.4371333
|
||||
99.32065336
|
||||
84.99652824
|
|
|
@ -0,0 +1,500 @@
|
|||
1399.48
|
||||
1410.49
|
||||
1409.3
|
||||
1410.44
|
||||
1411.13
|
||||
1402.08
|
||||
1413.49
|
||||
1413.17
|
||||
1418.13
|
||||
1418.16
|
||||
1415.51
|
||||
1405.53
|
||||
1403.93
|
||||
1404.11
|
||||
1405.87
|
||||
1402.8
|
||||
1402.22
|
||||
1401.35
|
||||
1394.23
|
||||
1390.99
|
||||
1365
|
||||
1375.32
|
||||
1379.32
|
||||
1385.3
|
||||
1385.97
|
||||
1360.02
|
||||
1337.89
|
||||
1338.31
|
||||
1350.52
|
||||
1362.66
|
||||
1376.51
|
||||
1372.78
|
||||
1363.67
|
||||
1353.64
|
||||
1356.78
|
||||
1334.76
|
||||
1341.45
|
||||
1341.47
|
||||
1352.46
|
||||
1354.68
|
||||
1367.58
|
||||
1374.02
|
||||
1365.51
|
||||
1362.16
|
||||
1329.04
|
||||
1331.85
|
||||
1319.99
|
||||
1313.72
|
||||
1335.02
|
||||
1325.51
|
||||
1355.69
|
||||
1357.98
|
||||
1344.78
|
||||
1342.84
|
||||
1329.1
|
||||
1314.88
|
||||
1324.18
|
||||
1308.93
|
||||
1325.66
|
||||
1314.99
|
||||
1315.13
|
||||
1285.5
|
||||
1278.18
|
||||
1278.04
|
||||
1310.33
|
||||
1313.32
|
||||
1332.42
|
||||
1317.82
|
||||
1320.68
|
||||
1318.86
|
||||
1316.63
|
||||
1315.99
|
||||
1295.22
|
||||
1304.86
|
||||
1324.8
|
||||
1330.66
|
||||
1338.35
|
||||
1353.39
|
||||
1357.99
|
||||
1354.58
|
||||
1363.72
|
||||
1369.58
|
||||
1369.1
|
||||
1391.57
|
||||
1402.31
|
||||
1405.82
|
||||
1397.91
|
||||
1403.36
|
||||
1399.98
|
||||
1390.69
|
||||
1371.97
|
||||
1366.94
|
||||
1378.53
|
||||
1376.92
|
||||
1385.14
|
||||
1390.78
|
||||
1369.57
|
||||
1370.26
|
||||
1387.57
|
||||
1368.71
|
||||
1358.59
|
||||
1382.2
|
||||
1398.08
|
||||
1398.96
|
||||
1413.38
|
||||
1419.04
|
||||
1408.47
|
||||
1403.28
|
||||
1405.54
|
||||
1412.52
|
||||
1416.51
|
||||
1397.11
|
||||
1392.78
|
||||
1402.89
|
||||
1405.52
|
||||
1409.75
|
||||
1404.17
|
||||
1402.6
|
||||
1394.28
|
||||
1395.95
|
||||
1371.09
|
||||
1370.87
|
||||
1365.91
|
||||
1352.63
|
||||
1343.36
|
||||
1364.33
|
||||
1369.63
|
||||
1374.09
|
||||
1365.68
|
||||
1372.18
|
||||
1367.59
|
||||
1365.74
|
||||
1363.46
|
||||
1357.66
|
||||
1362.21
|
||||
1361.23
|
||||
1358.04
|
||||
1343.23
|
||||
1350.5
|
||||
1351.77
|
||||
1342.64
|
||||
1351.95
|
||||
1349.96
|
||||
1347.05
|
||||
1344.33
|
||||
1344.9
|
||||
1325.54
|
||||
1324.09
|
||||
1312.41
|
||||
1313.01
|
||||
1316.33
|
||||
1318.43
|
||||
1326.06
|
||||
1314.65
|
||||
1316
|
||||
1315.38
|
||||
1314.5
|
||||
1308.04
|
||||
1293.67
|
||||
1289.09
|
||||
1295.5
|
||||
1292.48
|
||||
1292.08
|
||||
1280.7
|
||||
1277.81
|
||||
1281.06
|
||||
1277.3
|
||||
1277.06
|
||||
1257.6
|
||||
1263.02
|
||||
1249.64
|
||||
1265.43
|
||||
1265.33
|
||||
1254
|
||||
1243.72
|
||||
1241.3
|
||||
1205.35
|
||||
1219.66
|
||||
1215.75
|
||||
1211.82
|
||||
1225.73
|
||||
1236.47
|
||||
1255.19
|
||||
1234.35
|
||||
1261.01
|
||||
1258.47
|
||||
1257.08
|
||||
1244.28
|
||||
1244.58
|
||||
1246.96
|
||||
1195.19
|
||||
1192.55
|
||||
1158.67
|
||||
1161.79
|
||||
1188.04
|
||||
1192.98
|
||||
1215.65
|
||||
1216.13
|
||||
1236.91
|
||||
1257.81
|
||||
1251.78
|
||||
1263.85
|
||||
1239.7
|
||||
1229.1
|
||||
1275.92
|
||||
1261.12
|
||||
1253.23
|
||||
1261.15
|
||||
1237.9
|
||||
1218.28
|
||||
1253.3
|
||||
1285.09
|
||||
1284.59
|
||||
1242
|
||||
1229.05
|
||||
1254.19
|
||||
1238.25
|
||||
1215.39
|
||||
1209.88
|
||||
1225.38
|
||||
1200.86
|
||||
1224.58
|
||||
1203.66
|
||||
1207.25
|
||||
1195.54
|
||||
1194.89
|
||||
1155.46
|
||||
1164.97
|
||||
1144.03
|
||||
1123.95
|
||||
1099.23
|
||||
1131.42
|
||||
1160.4
|
||||
1151.06
|
||||
1175.38
|
||||
1162.95
|
||||
1136.43
|
||||
1129.56
|
||||
1166.76
|
||||
1202.09
|
||||
1204.09
|
||||
1216.01
|
||||
1209.11
|
||||
1188.68
|
||||
1172.87
|
||||
1162.27
|
||||
1154.23
|
||||
1185.9
|
||||
1198.62
|
||||
1165.24
|
||||
1173.97
|
||||
1204.42
|
||||
1218.89
|
||||
1212.92
|
||||
1210.08
|
||||
1176.8
|
||||
1159.27
|
||||
1177.6
|
||||
1162.35
|
||||
1123.82
|
||||
1123.53
|
||||
1140.65
|
||||
1193.89
|
||||
1192.76
|
||||
1204.49
|
||||
1178.81
|
||||
1172.64
|
||||
1120.76
|
||||
1172.53
|
||||
1119.46
|
||||
1199.38
|
||||
1200.07
|
||||
1260.34
|
||||
1254.05
|
||||
1286.94
|
||||
1292.28
|
||||
1300.67
|
||||
1304.89
|
||||
1331.94
|
||||
1337.43
|
||||
1345.02
|
||||
1343.8
|
||||
1325.84
|
||||
1326.73
|
||||
1305.44
|
||||
1316.14
|
||||
1308.87
|
||||
1317.72
|
||||
1313.64
|
||||
1319.49
|
||||
1343.8
|
||||
1353.22
|
||||
1339.22
|
||||
1337.88
|
||||
1339.67
|
||||
1320.64
|
||||
1307.41
|
||||
1296.67
|
||||
1280.1
|
||||
1268.45
|
||||
1283.5
|
||||
1287.14
|
||||
1295.52
|
||||
1278.36
|
||||
1271.5
|
||||
1267.64
|
||||
1265.42
|
||||
1287.87
|
||||
1271.83
|
||||
1270.98
|
||||
1289
|
||||
1279.56
|
||||
1284.94
|
||||
1286.17
|
||||
1300.16
|
||||
1312.94
|
||||
1314.55
|
||||
1345.2
|
||||
1331.1
|
||||
1325.69
|
||||
1320.47
|
||||
1316.28
|
||||
1317.37
|
||||
1333.27
|
||||
1343.6
|
||||
1340.68
|
||||
1328.98
|
||||
1329.47
|
||||
1337.77
|
||||
1348.65
|
||||
1342.08
|
||||
1357.16
|
||||
1346.29
|
||||
1340.2
|
||||
1335.1
|
||||
1347.32
|
||||
1356.62
|
||||
1361.22
|
||||
1363.61
|
||||
1360.48
|
||||
1355.66
|
||||
1347.24
|
||||
1335.25
|
||||
1337.38
|
||||
1330.36
|
||||
1312.62
|
||||
1305.14
|
||||
1319.68
|
||||
1314.52
|
||||
1314.41
|
||||
1314.16
|
||||
1324.46
|
||||
1328.17
|
||||
1333.51
|
||||
1335.54
|
||||
1332.63
|
||||
1332.87
|
||||
1332.41
|
||||
1325.83
|
||||
1328.26
|
||||
1319.44
|
||||
1310.19
|
||||
1313.8
|
||||
1309.66
|
||||
1297.54
|
||||
1293.77
|
||||
1298.38
|
||||
1279.2
|
||||
1273.72
|
||||
1256.88
|
||||
1281.87
|
||||
1296.39
|
||||
1304.28
|
||||
1295.11
|
||||
1320.02
|
||||
1321.82
|
||||
1310.13
|
||||
1321.15
|
||||
1330.97
|
||||
1308.44
|
||||
1306.33
|
||||
1327.22
|
||||
1319.88
|
||||
1306.1
|
||||
1307.4
|
||||
1315.44
|
||||
1343.01
|
||||
1340.43
|
||||
1336.32
|
||||
1328.01
|
||||
1332.32
|
||||
1329.15
|
||||
1321.87
|
||||
1320.88
|
||||
1324.57
|
||||
1319.05
|
||||
1310.87
|
||||
1307.1
|
||||
1304.03
|
||||
1307.59
|
||||
1286.12
|
||||
1276.34
|
||||
1299.54
|
||||
1296.63
|
||||
1291.18
|
||||
1290.84
|
||||
1283.35
|
||||
1280.26
|
||||
1281.92
|
||||
1295.02
|
||||
1293.24
|
||||
1283.76
|
||||
1285.96
|
||||
1274.48
|
||||
1269.75
|
||||
1271.5
|
||||
1273.85
|
||||
1276.56
|
||||
1270.2
|
||||
1271.89
|
||||
1257.64
|
||||
1257.88
|
||||
1259.78
|
||||
1258.51
|
||||
1257.54
|
||||
1256.77
|
||||
1258.84
|
||||
1254.6
|
||||
1247.08
|
||||
1243.91
|
||||
1242.87
|
||||
1235.23
|
||||
1241.59
|
||||
1240.46
|
||||
1240.4
|
||||
1233
|
||||
1228.28
|
||||
1223.75
|
||||
1223.12
|
||||
1224.71
|
||||
1221.53
|
||||
1206.07
|
||||
1180.55
|
||||
1187.76
|
||||
1189.4
|
||||
1198.35
|
||||
1180.73
|
||||
1197.84
|
||||
1199.73
|
||||
1196.69
|
||||
1178.59
|
||||
1178.34
|
||||
1197.75
|
||||
1199.21
|
||||
1213.54
|
||||
1218.71
|
||||
1213.4
|
||||
1223.25
|
||||
1225.85
|
||||
1221.06
|
||||
1197.96
|
||||
1193.57
|
||||
1184.38
|
||||
1183.26
|
||||
1183.78
|
||||
1182.45
|
||||
1185.64
|
||||
1185.62
|
||||
1183.08
|
||||
1180.26
|
||||
1178.17
|
||||
1165.9
|
||||
1184.71
|
||||
1176.19
|
||||
1173.81
|
||||
1178.1
|
||||
1169.77
|
||||
1165.32
|
||||
1165.15
|
||||
1158.06
|
||||
1159.97
|
||||
1160.75
|
||||
1137.03
|
||||
1146.24
|
||||
1141.2
|
||||
1144.73
|
||||
1147.7
|
||||
1142.16
|
||||
1148.67
|
||||
1124.83
|
||||
1134.28
|
||||
1139.78
|
||||
1142.71
|
||||
1125.59
|
||||
1124.66
|
||||
1125.07
|
||||
1121.1
|
||||
1121.9
|
||||
1109.55
|
||||
1104.18
|
|
|
@ -0,0 +1,500 @@
|
|||
1399.48,1399.48,1399.48
|
||||
1410.49,1410.49,1410.49
|
||||
1409.3,1409.3,1409.3
|
||||
1410.44,1410.44,1410.44
|
||||
1411.13,1411.13,1411.13
|
||||
1402.08,1402.08,1402.08
|
||||
1413.49,1413.49,1413.49
|
||||
1413.17,1413.17,1413.17
|
||||
1418.13,1418.13,1418.13
|
||||
1418.16,1418.16,1418.16
|
||||
1415.51,1415.51,1415.51
|
||||
1405.53,1405.53,1405.53
|
||||
1403.93,1403.93,1403.93
|
||||
1404.11,1404.11,1404.11
|
||||
1405.87,1405.87,1405.87
|
||||
1402.8,1402.8,1402.8
|
||||
1402.22,1402.22,1402.22
|
||||
1401.35,1401.35,1401.35
|
||||
1394.23,1394.23,1394.23
|
||||
1390.99,1390.99,1390.99
|
||||
1365,1365,1365
|
||||
1375.32,1375.32,1375.32
|
||||
1379.32,1379.32,1379.32
|
||||
1385.3,1385.3,1385.3
|
||||
1385.97,1385.97,1385.97
|
||||
1360.02,1360.02,1360.02
|
||||
1337.89,1337.89,1337.89
|
||||
1338.31,1338.31,1338.31
|
||||
1350.52,1350.52,1350.52
|
||||
1362.66,1362.66,1362.66
|
||||
1376.51,1376.51,1376.51
|
||||
1372.78,1372.78,1372.78
|
||||
1363.67,1363.67,1363.67
|
||||
1353.64,1353.64,1353.64
|
||||
1356.78,1356.78,1356.78
|
||||
1334.76,1334.76,1334.76
|
||||
1341.45,1341.45,1341.45
|
||||
1341.47,1341.47,1341.47
|
||||
1352.46,1352.46,1352.46
|
||||
1354.68,1354.68,1354.68
|
||||
1367.58,1367.58,1367.58
|
||||
1374.02,1374.02,1374.02
|
||||
1365.51,1365.51,1365.51
|
||||
1362.16,1362.16,1362.16
|
||||
1329.04,1329.04,1329.04
|
||||
1331.85,1331.85,1331.85
|
||||
1319.99,1319.99,1319.99
|
||||
1313.72,1313.72,1313.72
|
||||
1335.02,1335.02,1335.02
|
||||
1325.51,1325.51,1325.51
|
||||
1355.69,1355.69,1355.69
|
||||
1357.98,1357.98,1357.98
|
||||
1344.78,1344.78,1344.78
|
||||
1342.84,1342.84,1342.84
|
||||
1329.1,1329.1,1329.1
|
||||
1314.88,1314.88,1314.88
|
||||
1324.18,1324.18,1324.18
|
||||
1308.93,1308.93,1308.93
|
||||
1325.66,1325.66,1325.66
|
||||
1314.99,1314.99,1314.99
|
||||
1315.13,1315.13,1315.13
|
||||
1285.5,1285.5,1285.5
|
||||
1278.18,1278.18,1278.18
|
||||
1278.04,1278.04,1278.04
|
||||
1310.33,1310.33,1310.33
|
||||
1313.32,1313.32,1313.32
|
||||
1332.42,1332.42,1332.42
|
||||
1317.82,1317.82,1317.82
|
||||
1320.68,1320.68,1320.68
|
||||
1318.86,1318.86,1318.86
|
||||
1316.63,1316.63,1316.63
|
||||
1315.99,1315.99,1315.99
|
||||
1295.22,1295.22,1295.22
|
||||
1304.86,1304.86,1304.86
|
||||
1324.8,1324.8,1324.8
|
||||
1330.66,1330.66,1330.66
|
||||
1338.35,1338.35,1338.35
|
||||
1353.39,1353.39,1353.39
|
||||
1357.99,1357.99,1357.99
|
||||
1354.58,1354.58,1354.58
|
||||
1363.72,1363.72,1363.72
|
||||
1369.58,1369.58,1369.58
|
||||
1369.1,1369.1,1369.1
|
||||
1391.57,1391.57,1391.57
|
||||
1402.31,1402.31,1402.31
|
||||
1405.82,1405.82,1405.82
|
||||
1397.91,1397.91,1397.91
|
||||
1403.36,1403.36,1403.36
|
||||
1399.98,1399.98,1399.98
|
||||
1390.69,1390.69,1390.69
|
||||
1371.97,1371.97,1371.97
|
||||
1366.94,1366.94,1366.94
|
||||
1378.53,1378.53,1378.53
|
||||
1376.92,1376.92,1376.92
|
||||
1385.14,1385.14,1385.14
|
||||
1390.78,1390.78,1390.78
|
||||
1369.57,1369.57,1369.57
|
||||
1370.26,1370.26,1370.26
|
||||
1387.57,1387.57,1387.57
|
||||
1368.71,1368.71,1368.71
|
||||
1358.59,1358.59,1358.59
|
||||
1382.2,1382.2,1382.2
|
||||
1398.08,1398.08,1398.08
|
||||
1398.96,1398.96,1398.96
|
||||
1413.38,1413.38,1413.38
|
||||
1419.04,1419.04,1419.04
|
||||
1408.47,1408.47,1408.47
|
||||
1403.28,1403.28,1403.28
|
||||
1405.54,1405.54,1405.54
|
||||
1412.52,1412.52,1412.52
|
||||
1416.51,1416.51,1416.51
|
||||
1397.11,1397.11,1397.11
|
||||
1392.78,1392.78,1392.78
|
||||
1402.89,1402.89,1402.89
|
||||
1405.52,1405.52,1405.52
|
||||
1409.75,1409.75,1409.75
|
||||
1404.17,1404.17,1404.17
|
||||
1402.6,1402.6,1402.6
|
||||
1394.28,1394.28,1394.28
|
||||
1395.95,1395.95,1395.95
|
||||
1371.09,1371.09,1371.09
|
||||
1370.87,1370.87,1370.87
|
||||
1365.91,1365.91,1365.91
|
||||
1352.63,1352.63,1352.63
|
||||
1343.36,1343.36,1343.36
|
||||
1364.33,1364.33,1364.33
|
||||
1369.63,1369.63,1369.63
|
||||
1374.09,1374.09,1374.09
|
||||
1365.68,1365.68,1365.68
|
||||
1372.18,1372.18,1372.18
|
||||
1367.59,1367.59,1367.59
|
||||
1365.74,1365.74,1365.74
|
||||
1363.46,1363.46,1363.46
|
||||
1357.66,1357.66,1357.66
|
||||
1362.21,1362.21,1362.21
|
||||
1361.23,1361.23,1361.23
|
||||
1358.04,1358.04,1358.04
|
||||
1343.23,1343.23,1343.23
|
||||
1350.5,1350.5,1350.5
|
||||
1351.77,1351.77,1351.77
|
||||
1342.64,1342.64,1342.64
|
||||
1351.95,1351.95,1351.95
|
||||
1349.96,1349.96,1349.96
|
||||
1347.05,1347.05,1347.05
|
||||
1344.33,1344.33,1344.33
|
||||
1344.9,1344.9,1344.9
|
||||
1325.54,1325.54,1325.54
|
||||
1324.09,1324.09,1324.09
|
||||
1312.41,1312.41,1312.41
|
||||
1313.01,1313.01,1313.01
|
||||
1316.33,1316.33,1316.33
|
||||
1318.43,1318.43,1318.43
|
||||
1326.06,1326.06,1326.06
|
||||
1314.65,1314.65,1314.65
|
||||
1316,1316,1316
|
||||
1315.38,1315.38,1315.38
|
||||
1314.5,1314.5,1314.5
|
||||
1308.04,1308.04,1308.04
|
||||
1293.67,1293.67,1293.67
|
||||
1289.09,1289.09,1289.09
|
||||
1295.5,1295.5,1295.5
|
||||
1292.48,1292.48,1292.48
|
||||
1292.08,1292.08,1292.08
|
||||
1280.7,1280.7,1280.7
|
||||
1277.81,1277.81,1277.81
|
||||
1281.06,1281.06,1281.06
|
||||
1277.3,1277.3,1277.3
|
||||
1277.06,1277.06,1277.06
|
||||
1257.6,1257.6,1257.6
|
||||
1263.02,1263.02,1263.02
|
||||
1249.64,1249.64,1249.64
|
||||
1265.43,1265.43,1265.43
|
||||
1265.33,1265.33,1265.33
|
||||
1254,1254,1254
|
||||
1243.72,1243.72,1243.72
|
||||
1241.3,1241.3,1241.3
|
||||
1205.35,1205.35,1205.35
|
||||
1219.66,1219.66,1219.66
|
||||
1215.75,1215.75,1215.75
|
||||
1211.82,1211.82,1211.82
|
||||
1225.73,1225.73,1225.73
|
||||
1236.47,1236.47,1236.47
|
||||
1255.19,1255.19,1255.19
|
||||
1234.35,1234.35,1234.35
|
||||
1261.01,1261.01,1261.01
|
||||
1258.47,1258.47,1258.47
|
||||
1257.08,1257.08,1257.08
|
||||
1244.28,1244.28,1244.28
|
||||
1244.58,1244.58,1244.58
|
||||
1246.96,1246.96,1246.96
|
||||
1195.19,1195.19,1195.19
|
||||
1192.55,1192.55,1192.55
|
||||
1158.67,1158.67,1158.67
|
||||
1161.79,1161.79,1161.79
|
||||
1188.04,1188.04,1188.04
|
||||
1192.98,1192.98,1192.98
|
||||
1215.65,1215.65,1215.65
|
||||
1216.13,1216.13,1216.13
|
||||
1236.91,1236.91,1236.91
|
||||
1257.81,1257.81,1257.81
|
||||
1251.78,1251.78,1251.78
|
||||
1263.85,1263.85,1263.85
|
||||
1239.7,1239.7,1239.7
|
||||
1229.1,1229.1,1229.1
|
||||
1275.92,1275.92,1275.92
|
||||
1261.12,1261.12,1261.12
|
||||
1253.23,1253.23,1253.23
|
||||
1261.15,1261.15,1261.15
|
||||
1237.9,1237.9,1237.9
|
||||
1218.28,1218.28,1218.28
|
||||
1253.3,1253.3,1253.3
|
||||
1285.09,1285.09,1285.09
|
||||
1284.59,1284.59,1284.59
|
||||
1242,1242,1242
|
||||
1229.05,1229.05,1229.05
|
||||
1254.19,1254.19,1254.19
|
||||
1238.25,1238.25,1238.25
|
||||
1215.39,1215.39,1215.39
|
||||
1209.88,1209.88,1209.88
|
||||
1225.38,1225.38,1225.38
|
||||
1200.86,1200.86,1200.86
|
||||
1224.58,1224.58,1224.58
|
||||
1203.66,1203.66,1203.66
|
||||
1207.25,1207.25,1207.25
|
||||
1195.54,1195.54,1195.54
|
||||
1194.89,1194.89,1194.89
|
||||
1155.46,1155.46,1155.46
|
||||
1164.97,1164.97,1164.97
|
||||
1144.03,1144.03,1144.03
|
||||
1123.95,1123.95,1123.95
|
||||
1099.23,1099.23,1099.23
|
||||
1131.42,1131.42,1131.42
|
||||
1160.4,1160.4,1160.4
|
||||
1151.06,1151.06,1151.06
|
||||
1175.38,1175.38,1175.38
|
||||
1162.95,1162.95,1162.95
|
||||
1136.43,1136.43,1136.43
|
||||
1129.56,1129.56,1129.56
|
||||
1166.76,1166.76,1166.76
|
||||
1202.09,1202.09,1202.09
|
||||
1204.09,1204.09,1204.09
|
||||
1216.01,1216.01,1216.01
|
||||
1209.11,1209.11,1209.11
|
||||
1188.68,1188.68,1188.68
|
||||
1172.87,1172.87,1172.87
|
||||
1162.27,1162.27,1162.27
|
||||
1154.23,1154.23,1154.23
|
||||
1185.9,1185.9,1185.9
|
||||
1198.62,1198.62,1198.62
|
||||
1165.24,1165.24,1165.24
|
||||
1173.97,1173.97,1173.97
|
||||
1204.42,1204.42,1204.42
|
||||
1218.89,1218.89,1218.89
|
||||
1212.92,1212.92,1212.92
|
||||
1210.08,1210.08,1210.08
|
||||
1176.8,1176.8,1176.8
|
||||
1159.27,1159.27,1159.27
|
||||
1177.6,1177.6,1177.6
|
||||
1162.35,1162.35,1162.35
|
||||
1123.82,1123.82,1123.82
|
||||
1123.53,1123.53,1123.53
|
||||
1140.65,1140.65,1140.65
|
||||
1193.89,1193.89,1193.89
|
||||
1192.76,1192.76,1192.76
|
||||
1204.49,1204.49,1204.49
|
||||
1178.81,1178.81,1178.81
|
||||
1172.64,1172.64,1172.64
|
||||
1120.76,1120.76,1120.76
|
||||
1172.53,1172.53,1172.53
|
||||
1119.46,1119.46,1119.46
|
||||
1199.38,1199.38,1199.38
|
||||
1200.07,1200.07,1200.07
|
||||
1260.34,1260.34,1260.34
|
||||
1254.05,1254.05,1254.05
|
||||
1286.94,1286.94,1286.94
|
||||
1292.28,1292.28,1292.28
|
||||
1300.67,1300.67,1300.67
|
||||
1304.89,1304.89,1304.89
|
||||
1331.94,1331.94,1331.94
|
||||
1337.43,1337.43,1337.43
|
||||
1345.02,1345.02,1345.02
|
||||
1343.8,1343.8,1343.8
|
||||
1325.84,1325.84,1325.84
|
||||
1326.73,1326.73,1326.73
|
||||
1305.44,1305.44,1305.44
|
||||
1316.14,1316.14,1316.14
|
||||
1308.87,1308.87,1308.87
|
||||
1317.72,1317.72,1317.72
|
||||
1313.64,1313.64,1313.64
|
||||
1319.49,1319.49,1319.49
|
||||
1343.8,1343.8,1343.8
|
||||
1353.22,1353.22,1353.22
|
||||
1339.22,1339.22,1339.22
|
||||
1337.88,1337.88,1337.88
|
||||
1339.67,1339.67,1339.67
|
||||
1320.64,1320.64,1320.64
|
||||
1307.41,1307.41,1307.41
|
||||
1296.67,1296.67,1296.67
|
||||
1280.1,1280.1,1280.1
|
||||
1268.45,1268.45,1268.45
|
||||
1283.5,1283.5,1283.5
|
||||
1287.14,1287.14,1287.14
|
||||
1295.52,1295.52,1295.52
|
||||
1278.36,1278.36,1278.36
|
||||
1271.5,1271.5,1271.5
|
||||
1267.64,1267.64,1267.64
|
||||
1265.42,1265.42,1265.42
|
||||
1287.87,1287.87,1287.87
|
||||
1271.83,1271.83,1271.83
|
||||
1270.98,1270.98,1270.98
|
||||
1289,1289,1289
|
||||
1279.56,1279.56,1279.56
|
||||
1284.94,1284.94,1284.94
|
||||
1286.17,1286.17,1286.17
|
||||
1300.16,1300.16,1300.16
|
||||
1312.94,1312.94,1312.94
|
||||
1314.55,1314.55,1314.55
|
||||
1345.2,1345.2,1345.2
|
||||
1331.1,1331.1,1331.1
|
||||
1325.69,1325.69,1325.69
|
||||
1320.47,1320.47,1320.47
|
||||
1316.28,1316.28,1316.28
|
||||
1317.37,1317.37,1317.37
|
||||
1333.27,1333.27,1333.27
|
||||
1343.6,1343.6,1343.6
|
||||
1340.68,1340.68,1340.68
|
||||
1328.98,1328.98,1328.98
|
||||
1329.47,1329.47,1329.47
|
||||
1337.77,1337.77,1337.77
|
||||
1348.65,1348.65,1348.65
|
||||
1342.08,1342.08,1342.08
|
||||
1357.16,1357.16,1357.16
|
||||
1346.29,1346.29,1346.29
|
||||
1340.2,1340.2,1340.2
|
||||
1335.1,1335.1,1335.1
|
||||
1347.32,1347.32,1347.32
|
||||
1356.62,1356.62,1356.62
|
||||
1361.22,1361.22,1361.22
|
||||
1363.61,1363.61,1363.61
|
||||
1360.48,1360.48,1360.48
|
||||
1355.66,1355.66,1355.66
|
||||
1347.24,1347.24,1347.24
|
||||
1335.25,1335.25,1335.25
|
||||
1337.38,1337.38,1337.38
|
||||
1330.36,1330.36,1330.36
|
||||
1312.62,1312.62,1312.62
|
||||
1305.14,1305.14,1305.14
|
||||
1319.68,1319.68,1319.68
|
||||
1314.52,1314.52,1314.52
|
||||
1314.41,1314.41,1314.41
|
||||
1314.16,1314.16,1314.16
|
||||
1324.46,1324.46,1324.46
|
||||
1328.17,1328.17,1328.17
|
||||
1333.51,1333.51,1333.51
|
||||
1335.54,1335.54,1335.54
|
||||
1332.63,1332.63,1332.63
|
||||
1332.87,1332.87,1332.87
|
||||
1332.41,1332.41,1332.41
|
||||
1325.83,1325.83,1325.83
|
||||
1328.26,1328.26,1328.26
|
||||
1319.44,1319.44,1319.44
|
||||
1310.19,1310.19,1310.19
|
||||
1313.8,1313.8,1313.8
|
||||
1309.66,1309.66,1309.66
|
||||
1297.54,1297.54,1297.54
|
||||
1293.77,1293.77,1293.77
|
||||
1298.38,1298.38,1298.38
|
||||
1279.2,1279.2,1279.2
|
||||
1273.72,1273.72,1273.72
|
||||
1256.88,1256.88,1256.88
|
||||
1281.87,1281.87,1281.87
|
||||
1296.39,1296.39,1296.39
|
||||
1304.28,1304.28,1304.28
|
||||
1295.11,1295.11,1295.11
|
||||
1320.02,1320.02,1320.02
|
||||
1321.82,1321.82,1321.82
|
||||
1310.13,1310.13,1310.13
|
||||
1321.15,1321.15,1321.15
|
||||
1330.97,1330.97,1330.97
|
||||
1308.44,1308.44,1308.44
|
||||
1306.33,1306.33,1306.33
|
||||
1327.22,1327.22,1327.22
|
||||
1319.88,1319.88,1319.88
|
||||
1306.1,1306.1,1306.1
|
||||
1307.4,1307.4,1307.4
|
||||
1315.44,1315.44,1315.44
|
||||
1343.01,1343.01,1343.01
|
||||
1340.43,1340.43,1340.43
|
||||
1336.32,1336.32,1336.32
|
||||
1328.01,1328.01,1328.01
|
||||
1332.32,1332.32,1332.32
|
||||
1329.15,1329.15,1329.15
|
||||
1321.87,1321.87,1321.87
|
||||
1320.88,1320.88,1320.88
|
||||
1324.57,1324.57,1324.57
|
||||
1319.05,1319.05,1319.05
|
||||
1310.87,1310.87,1310.87
|
||||
1307.1,1307.1,1307.1
|
||||
1304.03,1304.03,1304.03
|
||||
1307.59,1307.59,1307.59
|
||||
1286.12,1286.12,1286.12
|
||||
1276.34,1276.34,1276.34
|
||||
1299.54,1299.54,1299.54
|
||||
1296.63,1296.63,1296.63
|
||||
1291.18,1291.18,1291.18
|
||||
1290.84,1290.84,1290.84
|
||||
1283.35,1283.35,1283.35
|
||||
1280.26,1280.26,1280.26
|
||||
1281.92,1281.92,1281.92
|
||||
1295.02,1295.02,1295.02
|
||||
1293.24,1293.24,1293.24
|
||||
1283.76,1283.76,1283.76
|
||||
1285.96,1285.96,1285.96
|
||||
1274.48,1274.48,1274.48
|
||||
1269.75,1269.75,1269.75
|
||||
1271.5,1271.5,1271.5
|
||||
1273.85,1273.85,1273.85
|
||||
1276.56,1276.56,1276.56
|
||||
1270.2,1270.2,1270.2
|
||||
1271.89,1271.89,1271.89
|
||||
1257.64,1257.64,1257.64
|
||||
1257.88,1257.88,1257.88
|
||||
1259.78,1259.78,1259.78
|
||||
1258.51,1258.51,1258.51
|
||||
1257.54,1257.54,1257.54
|
||||
1256.77,1256.77,1256.77
|
||||
1258.84,1258.84,1258.84
|
||||
1254.6,1254.6,1254.6
|
||||
1247.08,1247.08,1247.08
|
||||
1243.91,1243.91,1243.91
|
||||
1242.87,1242.87,1242.87
|
||||
1235.23,1235.23,1235.23
|
||||
1241.59,1241.59,1241.59
|
||||
1240.46,1240.46,1240.46
|
||||
1240.4,1240.4,1240.4
|
||||
1233,1233,1233
|
||||
1228.28,1228.28,1228.28
|
||||
1223.75,1223.75,1223.75
|
||||
1223.12,1223.12,1223.12
|
||||
1224.71,1224.71,1224.71
|
||||
1221.53,1221.53,1221.53
|
||||
1206.07,1206.07,1206.07
|
||||
1180.55,1180.55,1180.55
|
||||
1187.76,1187.76,1187.76
|
||||
1189.4,1189.4,1189.4
|
||||
1198.35,1198.35,1198.35
|
||||
1180.73,1180.73,1180.73
|
||||
1197.84,1197.84,1197.84
|
||||
1199.73,1199.73,1199.73
|
||||
1196.69,1196.69,1196.69
|
||||
1178.59,1178.59,1178.59
|
||||
1178.34,1178.34,1178.34
|
||||
1197.75,1197.75,1197.75
|
||||
1199.21,1199.21,1199.21
|
||||
1213.54,1213.54,1213.54
|
||||
1218.71,1218.71,1218.71
|
||||
1213.4,1213.4,1213.4
|
||||
1223.25,1223.25,1223.25
|
||||
1225.85,1225.85,1225.85
|
||||
1221.06,1221.06,1221.06
|
||||
1197.96,1197.96,1197.96
|
||||
1193.57,1193.57,1193.57
|
||||
1184.38,1184.38,1184.38
|
||||
1183.26,1183.26,1183.26
|
||||
1183.78,1183.78,1183.78
|
||||
1182.45,1182.45,1182.45
|
||||
1185.64,1185.64,1185.64
|
||||
1185.62,1185.62,1185.62
|
||||
1183.08,1183.08,1183.08
|
||||
1180.26,1180.26,1180.26
|
||||
1178.17,1178.17,1178.17
|
||||
1165.9,1165.9,1165.9
|
||||
1184.71,1184.71,1184.71
|
||||
1176.19,1176.19,1176.19
|
||||
1173.81,1173.81,1173.81
|
||||
1178.1,1178.1,1178.1
|
||||
1169.77,1169.77,1169.77
|
||||
1165.32,1165.32,1165.32
|
||||
1165.15,1165.15,1165.15
|
||||
1158.06,1158.06,1158.06
|
||||
1159.97,1159.97,1159.97
|
||||
1160.75,1160.75,1160.75
|
||||
1137.03,1137.03,1137.03
|
||||
1146.24,1146.24,1146.24
|
||||
1141.2,1141.2,1141.2
|
||||
1144.73,1144.73,1144.73
|
||||
1147.7,1147.7,1147.7
|
||||
1142.16,1142.16,1142.16
|
||||
1148.67,1148.67,1148.67
|
||||
1124.83,1124.83,1124.83
|
||||
1134.28,1134.28,1134.28
|
||||
1139.78,1139.78,1139.78
|
||||
1142.71,1142.71,1142.71
|
||||
1125.59,1125.59,1125.59
|
||||
1124.66,1124.66,1124.66
|
||||
1125.07,1125.07,1125.07
|
||||
1121.1,1121.1,1121.1
|
||||
1121.9,1121.9,1121.9
|
||||
1109.55,1109.55,1109.55
|
||||
1104.18,1104.18,1104.18
|
|
|
@ -0,0 +1,37 @@
|
|||
"""
|
||||
Filters for time series.
|
||||
|
||||
Copyright (c) 2020 Gabriele Gilardi
|
||||
|
||||
|
||||
|
||||
ToDo:
|
||||
- use NaN/input values for points not filtered?
|
||||
- what to use as previous Y in recursive filters? i.e. set Y=X or set Y=0?
|
||||
- plot filtered data (utils, with generic number of arguments passed)
|
||||
- plot filter characteristics (utils)
|
||||
- return idx?
|
||||
- util to test filter (impulse, utils)
|
||||
"""
|
||||
|
||||
import sys
|
||||
import numpy as np
|
||||
import filters as flt
|
||||
import utils as utl
|
||||
|
||||
# Read data to filter
|
||||
if len(sys.argv) != 2:
|
||||
print("Usage: python test.py <data_file>")
|
||||
sys.exit(1)
|
||||
data_file = sys.argv[1] + '.csv'
|
||||
|
||||
# Read data from a csv file
|
||||
data = np.loadtxt(data_file, delimiter=',')
|
||||
n_samples = data.shape[0]
|
||||
data = data.reshape(n_samples, -1)
|
||||
|
||||
spx = flt.Filter(data)
|
||||
EMA = spx.EMA()
|
||||
print(EMA[0:5,:])
|
||||
# args = (spx.X, spx.SMA(N=5), spx.EMA(alpha=0.7))
|
||||
# utl.plot_signals(args)
|
|
@ -0,0 +1,119 @@
|
|||
"""
|
||||
Utility functions for ????.
|
||||
|
||||
Copyright (c) 2020 Gabriele Gilardi
|
||||
"""
|
||||
|
||||
import numpy as np
|
||||
import matplotlib.pyplot as plt
|
||||
|
||||
|
||||
def normalize_data(X, param=(), ddof=0):
|
||||
"""
|
||||
If mu and sigma are not defined, returns a column-normalized version of
|
||||
X with zero mean and standard deviation equal to one. If mu and sigma are
|
||||
defined returns a column-normalized version of X using mu and sigma.
|
||||
|
||||
X Input dataset
|
||||
Xn Column-normalized input dataset
|
||||
param Tuple with mu and sigma
|
||||
mu Mean
|
||||
sigma Standard deviation
|
||||
ddof Delta degrees of freedom (if ddof = 0 then divide by m, if
|
||||
ddof = 1 then divide by m-1, with m the number of data in X)
|
||||
"""
|
||||
# Column-normalize using mu and sigma
|
||||
if (len(param) > 0):
|
||||
Xn = (X - param[0]) / param[1]
|
||||
return Xn
|
||||
|
||||
# Column-normalize using mu=0 and sigma=1
|
||||
else:
|
||||
mu = X.mean(axis=0)
|
||||
sigma = X.std(axis=0, ddof=ddof)
|
||||
Xn = (X - mu) / sigma
|
||||
param = (mu, sigma)
|
||||
return Xn, param
|
||||
|
||||
|
||||
def scale_data(X, param=()):
|
||||
"""
|
||||
If X_min and X_max are not defined, returns a column-scaled version of
|
||||
X in the interval (-1,+1). If X_min and X_max are defined returns a
|
||||
column-scaled version of X using X_min and X_max.
|
||||
|
||||
X Input dataset
|
||||
Xs Column-scaled input dataset
|
||||
param Tuple with X_min and X_max
|
||||
X_min Min. value along the columns (features) of the input dataset
|
||||
X_max Max. value along the columns (features) of the input dataset
|
||||
"""
|
||||
# Column-scale using X_min and X_max
|
||||
if (len(param) > 0):
|
||||
Xs = -1.0 + 2.0 * (X - param[0]) / (param[1] - param[0])
|
||||
return Xs
|
||||
|
||||
# Column-scale using X_min=-1 and X_max=+1
|
||||
else:
|
||||
X_min = np.amin(X, axis=0)
|
||||
X_max = np.amax(X, axis=0)
|
||||
Xs = -1.0 + 2.0 * (X - X_min) / (X_max - X_min)
|
||||
param = (X_min, X_max)
|
||||
return Xs, param
|
||||
|
||||
|
||||
def calc_rmse(a, b):
|
||||
"""
|
||||
Calculates the root-mean-square-error of arrays <a> and <b>. If the arrays
|
||||
are multi-column, the RMSE is calculated as all the columns are one single
|
||||
vector.
|
||||
"""
|
||||
# Convert to (n, ) dimension
|
||||
a = a.flatten()
|
||||
b = b.flatten()
|
||||
|
||||
# Root-mean-square-error
|
||||
rmse = np.sqrt(((a - b) ** 2).sum() / len(a))
|
||||
|
||||
return rmse
|
||||
|
||||
|
||||
def calc_corr(a, b):
|
||||
"""
|
||||
Calculates the correlation between arrays <a> and <b>. If the arrays are
|
||||
multi-column, the correlation is calculated as all the columns are one
|
||||
single vector.
|
||||
"""
|
||||
# Convert to (n, ) dimension
|
||||
a = a.flatten()
|
||||
b = b.flatten()
|
||||
|
||||
# Correlation
|
||||
corr = np.corrcoef(a, b)[0, 1]
|
||||
|
||||
return corr
|
||||
|
||||
|
||||
def calc_accu(a, b):
|
||||
"""
|
||||
Calculates the accuracy (in %) between arrays <a> and <b>. The two arrays
|
||||
must be column/row vectors.
|
||||
"""
|
||||
# Convert to (n, ) dimension
|
||||
a = a.flatten()
|
||||
b = b.flatten()
|
||||
|
||||
# Correlation
|
||||
accu = 100.0 * (a == b).sum() / len(a)
|
||||
|
||||
return accu
|
||||
|
||||
|
||||
def plot_signals(signals):
|
||||
"""
|
||||
"""
|
||||
for signal in signals:
|
||||
plt.plot(signal)
|
||||
|
||||
plt.grid(b=True)
|
||||
plt.show()
|
|
@ -2,6 +2,10 @@
|
|||
|
||||
## Reference
|
||||
|
||||
- [1] John F. Ehlers, "[Cycle Analytics for Traders: Advanced Technical Trading Concepts](http://www.mesasoftware.com/ehlers_books.htm)".
|
||||
|
||||
- [2] John F. Ehlers, "[Signal Analysis, Filters And Trading Strategies](http://www.mesasoftware.com/ehlers_technical_papers.htm)".
|
||||
|
||||
## Characteristics
|
||||
|
||||
## Parameters
|
||||
|
|
Ładowanie…
Reference in New Issue