Homework 10
Reading
 Chapter 2 in the Anderson text
Problems

Suppose
and
be an orthonormal basis for
signal space given by
 Verify that and are orthonormal.
 Sketch matched filters for and .

The following lookup table is used in the modulator.
signal bits symbol 000 001 010 011 100 101 110 111  Sketch the waveform that is transmitted if the six bits are fed into the modulator.
 Sketch the constellation.
 Sketch the ML decision regions.
 What is min?
 Compute the average symbol and bit energy.

Suppose that the following set of measurements were observed at
the output of a bank of filters matched to
and
.
Symbol Period  Compute the probability that the ML receiver decides that was transmitted when in fact was actually transmitted.
 Use the union bound to compute an upper bound for the probability of error for this constellation using an ML receiver.
 Sketch the impulse response of a filter matched to the squareroot raised cosine pulse. Follow the procedure on page 60 and 61 of the Anderson text.
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