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The signal set
where is an integer,
is used to transmit one of two equally-likely messages over an
additive, white Gaussian noise channel with spectral height
- Draw a block diagram of the optimum receiver.
Can this receiver be implemented using only one correlator.
- Compute the probability of error for this receiver.
- Now, the signals
are added to the above signal set. Each signal is then used to transmit one
of four equally likely messages. Draw a block diagram of the optimum
receiver for this quaternary signal set in additive white
- Compute the resulting probability of error.
Hint: Remember that the likelihood ratio test
can also be written as
Dr. Bernd-Peter Paris