# pseudo inverse of rank 1 or rank deficient matrix

Discussion in 'MATLAB' started by Peter, Apr 28, 2010.

1. ### PeterGuest

while evaluating the Bit Error Rate in a fading channel we equalize the received bits before demodulating. so we multiply with the pseudo inverse of the channel matrix.
what will be the pseudo inverse of a rank 1 matrix ie rank deficient matrix ?
I am evaluating BER for BPSK in a keyhole MIMO channel.

Regards,
Peter.

Peter, Apr 28, 2010

2. ### John D'ErricoGuest

The pseudo-inverse of a rank 1 matrix is well defined.
It is also rank 1 of course.

I'm not sure what you are asking though. Do you
wish to know how to compute it? Pinv does the work
for you, although it is quite easy to do on your own.

HTH,
John

John D'Errico, Apr 28, 2010

3. ### khaledGuest

hello peter
can you help me
i need to make equalizer filter

khaled, Aug 4, 2010