Question

Mismatched Filters The following signal set is employed to transmit equally likely signals over an additive white Gausssian noise channel with spectral height N0/2. 1. Sketch and accurately label the block diagram of the receiver which minimizes the probability of error. 2. Compute the probability of error of your receiver from part (a). 3. Consider now the following receiver: Compute the probability of error of this receiver if g(t) is given by 4. Repeat part (c) for g(t) = sin(pi*t). 5. Compare the probabilities of error in parts (b)-(d). Hint: You may need integral x sin(ax) dx = sin(ax)/a^2 - x cos(ax)/a

          Mismatched Filters
The following signal set is employed to transmit equally likely signals over an additive white Gausssian noise channel with spectral height N0/2.
1. Sketch and accurately label the block diagram of the receiver which minimizes the probability of error.
2. Compute the probability of error of your receiver from part (a).
3. Consider now the following receiver:
Compute the probability of error of this receiver if g(t) is given by
4. Repeat part (c) for g(t) = sin(pi*t).
5. Compare the probabilities of error in parts (b)-(d).
Hint: You may need
integral x sin(ax) dx = sin(ax)/a^2 - x cos(ax)/a

Mismatched Filters
The following signal set is employed to transmit equally likely signals over an additive white Gausssian noise channel with spectral height N0/2.
1. Sketch and accurately label the block diagram of the receiver which minimizes the probability of error.
2. Compute the probability of error of your receiver from part (a).
3. Consider now the following receiver:
Compute the probability of error of this receiver if g(t) is given by
4. Repeat part (c) for g(t) = sin(pi*t).
5. Compare the probabilities of error in parts (b)-(d).
Hint: You may need
integral x sin(ax) dx = sin(ax)/a^2 - x cos(ax)/a

Added by Brian J.

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