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For a complex signal x to be transmitted over a channel with complex impulse response h, x will be convolved with h. What will the mathematical operation done in the reveiver to cancel the effect of h? I am confused because I have a code in which x is multiplied with h in the transmitter, and in the receiver, the received signal is multiplied by conjucate h and divided by h squared.

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    $\begingroup$ at the receiver, an equalization operation is performed. See e.g. wireless.ece.ufl.edu/twong/Notes/Comm/ch4.pdf . What you describe actually sounds, as if the channel and signal were in the frequency domain and the convolution theorem was applied. $\endgroup$ – Maximilian Matthé Apr 19 '17 at 5:00
  • $\begingroup$ I think what you are describing is a matched filter (assuming the impulse response was time reversed as well as conjugated and normalized). This approach should maximize the SNR of the signal, but it doesn't guarantee ISI-free communication. To make such guarantees, one would usually employ an equalizer optimized in same way (e.g., MSE criterion or BER criterion). $\endgroup$ – hops Apr 19 '17 at 18:29

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