DSPRelated.com
Forums

complex valued Equalizer - zero forcing criterion

Started by rifo August 29, 2007
I understand you're transmitting a single sine cycle as pulse?

That means the carrier is multiplied with a rectangular window in the time
domain. 
The spectrum of that window is a sinc=sin(x)/x function with zeros at
1/750 s intervals, and is convolved with the carrier in the frequency
domain("appears around the carrier frequency") 
Ideally, the receiver's filter implements that sinc frequency response.
The spectrum of your filter is pretty wide, and so is the optimum Rx
filter.

Due to the choice of pulse shaping filter, the impulse response decays
only slowly. 

But as long as the timing is accurate, the symbols don't interfere with
each other, picture here: 
http://www.elisanet.fi/mnentwig/webroot/pulse_and_Nyquist/index.html

-mn

Correction: This pulse does _not_ meet Nyquist's pulse shaping criterion,
it spectrum is not symmetric around the symbol rate. So there _will_ be
intersymbol interference, it's not simple as stated in my previous mail.

-Markus