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Jepski
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Transfer function from power delay profile (PDP)

Asked by Jepski
on 16 Sep 2019
Latest activity Edited by Dimitris Kalogiros on 16 Sep 2019
Hi
I have measured the following delay profiles in an acoustic channel:
Delay:
210ms: -3db
320ms: -5db
530ms: -6db
Does anyone know how to make a transfer function out of this in Matlab so I can simulate the channel by convolution?

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R2019b

1 Answer

Answer by Dimitris Kalogiros on 16 Sep 2019
Edited by Dimitris Kalogiros on 16 Sep 2019

You can use the following piece of code :
% Sampling Rate
Ts=1E-3; %Tsampling =1ms
% Transfer function
h=zeros(530+1);
h(210+1)=db2mag(-3);
h(320+1)=db2mag(-5);
h(530+1)=db2mag(-7);
But keep in mind that, when you are going to use this transfer function, you must have adopted Ts=1ms into your simulation
On the other hand, if you want to use an arbitrary sampling rate within your simulation model, you can use this :
% Sampling Rate
Fs=256; % 256 Hz
Ts=1/Fs; %Tsampling = 1/Fampling
% calculation of delays expressed in samples
D1=round( (210E-3)/Ts );
D2=round( (320E-3)/Ts );
D3=round( (530E-3)/Ts );
% Transfer function
h=zeros(D3+1);
h(D1+1)=db2mag(-3);
h(D2+1)=db2mag(-5);
h(D3+1)=db2mag(-7);

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