Transfer function from power delay profile (PDP)

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?

Answer 1

[Dimitris Kalogiros]

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);