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Time Frequency Toolbox >> Time Frequency Toolbox > Bilinear Time-Frequency Processing in the Cohen's Class > tfrspbk

tfrspbk

Smoothed Pseudo K-Bertrand time-frequency distribution.

Calling Sequence

[TFR,T,F]=tfrspbk(X)
[TFR,T,F]=tfrspbk(X,T)
[TFR,T,F]=tfrspbk(X,T,K)
[TFR,T,F]=tfrspbk(X,T,K,NH0)
[TFR,T,F]=tfrspbk(X,T,K,NH0,NG0)
[TFR,T,F]=tfrspbk(X,T,K,NH0,NG0,FMIN,FMAX)
[TFR,T,F]=tfrspbk(X,T,K,NH0,NG0,FMIN,FMAX,N)
[TFR,T,F]=tfrspbk(X,T,K,NH0,NG0,FMIN,FMAX,N,TRACE)
[TFR,T,F]=tfrspbk(...,'plot')

Parameters

X :

signal (in time) to be analyzed. If X=[X1 X2], tfrspbk computes the cross-Smoothed Pseudo K-Bertrand distribution.(Nx=length(X)).

T :

time instant(s) on which the TFR is evaluated. TIME must be a uniformly sampled vector whose elements are between 1 and Nx. (default : 1:Nx).

K :

label of the K-Bertrand distribution. The distribution with parametrization function lambdak(u,K) = (K (exp(-u)-1)/(exp(-Ku)-1))^(1/(K-1)) is computed (default : 0).

K=-1 :

Smoothed pseudo (active) Unterberger distribution

K=0 :

Smoothed pseudo Bertrand distribution

K=1/2:

Smoothed pseudo D-Flandrin distribution

K=2 :

Affine smoothed pseudo Wigner-Ville distribution.

NH0 :

half length of the analyzing wavelet at coarsest scale. A Morlet wavelet is used. NH0 controles the frequency smoothing of the smoothed pseudo K-Bertrand distribution.(default : sqrt(Nx)).

NG0 :

half length of the time smoothing window. NG0 = 0 corresponds to the Pseudo K-Bertrand distribution. (default : 0).

FMIN,FMAX :

respectively lower and upper frequency bounds of the analyzed signal. These parameters fix the equivalent frequency bandwidth (expressed in Hz). When unspecified, you have to enter them at the command line from the plot of the spectrum. FMIN and FMAX must be >0 and <=0.5.

N :

number of analyzed voices (default : Nx).

TRACE :

if nonzero, the progression of the algorithm is shown (default : 0).

'plot':

if one input parameter is 'plot', tfrparam runs tfrqview. and TFR will be plotted

TFR :

time-frequency matrix containing the coefficients of the decomposition (abscissa correspond to uniformly sampled time, and ordinates correspond to a geometrically sampled frequency). First row of TFR corresponds to the lowest frequency.

F :

vector of normalized frequencies (geometrically sampled from FMIN to FMAX).

Description

tfrspbk generates the auto- or cross- Smoothed Pseudo K-Bertrand distribution.

Examples

sig=altes(64,0.1,0.45); tfrspbk(sig,'plot');

Authors

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