# Recover an OFDM signal affected by AWGN

I have an OFDM signal affected by AWGN, if I know the power of the gaussian noise, can I recover the OFDM signal? Can I perform deconvolution to recover the original signal? thanks

Yes, when we can recover OFDM in fading scenarios along with gaussian noise, then yes we can also recover it in just gaussian noise. You can think of fading coefficients having a magnitude of 1 and phase zero

• Hi, could you please give me a Matlab example, because I am not sure where to perform deconvolution operation, for the received time domain samples? or for constellation after FFT? thanks – omaro goneim Aug 26 at 8:54

Your question is vague for me.

I understand that you want to make a convolution on an received OFDM signal to synchronize right?

OFDM signal is demodulated through an FFT. Usually FFT size is a power of 2 (128,256,512,etc...). To demodulate FFT symbols cleanly, they must be synchronized (beginning symbol is found)

Your OFDM waveform has probably a preamble, you could use it to synchronize. Correlating preamble sequence with received signal can be enough if there is no carrier frequency offset (in time domain).

If there is a carrier frequency offset, you could synchronize in frequency domain first.

This is quite an amount of work in Matlab.