Question 3

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Question 3

• A digital, time discrete channel with intersymbol
  interference (ISI) has the following impulse
  response h h-1, h0, h1T -0.25, 1, 0.75T.
  (.)T is the matrix transpose. The ISI is being
  suppressed by zero-forcing equalizer with five
  taps w w-2, w-1, w0, w1, w2T.
• Find the equalizer taps, w according to the
  zero-forcing (ZF) criterion with the desired
  equalizer response z 0, 0, 1, 0, 0T.
• If a single discrete pulse with amplitude 1 is
  being sent through the channel h, what is the
  system response before and after ZF equalization?

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System block diagram
y
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Expanding the convolution
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Convolution in matrix form
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Zero forcing equalizer
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Before ZF equalizer
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After ZF equalizer