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If your prediction is perfect, <math>h_{\text{est}} = h</math> and <math>r = s + n</math> and it turns out to be the detection problem in Gaussian channels which is simple.
Why do they call it "coding"? It is a preprocessing technique that performs transmit diversity and it is similar to equalization, but the main difference is that you have to optimize the precoder with a decoder. Channel equalization aims to minimize channel errors, but the precoder aims to minimize the error in the receiver output. <ref>http://www.edaboard.com/thread130479.html</ref>
==Precoding for Point-to-Point MIMO Systems ==
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