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holder

Estimate the Holder exponent through an affine TFR

Calling Sequence

H = holder(TFR, F)
H = holder(TFR, F, N1)
H = holder(TFR, F, N1, N2)
H = holder(TFR, F, N1, N2, T)
H = holder(...'plot')

Parameters

TFR :

a M by N array of doubles: the affine time-frequency representation.

F :

a real vector of size M with elements in ]0 0.5]: the frequency values of the spectral analysis.

N1 :

an integer value in [1 M]: the indice of the minimum frequency for the linear regression. (default : 1).

N2 :

an integer value in [1 M]: the indice of the maximum frequency for the linear regression. (default : M).

T :

a vector of integer values in [1 N]: the time vector. If T is omitted, the function returns the global estimate of the Holder exponent. Otherwise, it returns the local estimates H(T) at the instants specified in T.

H :

a real scalar if T omitted or a real column vector: the Holder estimate(s).

Description

holder estimates the Holder exponent of a function through an affine time-frequency representation of it, and plots the frequency marginal and the regression line.

Examples

S = altes(128); 
[TFR,T,F] = tfrscalo(S,1:128,8,0.01,0.35,128);
H = holder(TFR,F,1,length(F),1:128);
clf; plot(H)

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