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In a coherent FSK signalling scheme the signals s1(t) and s2(t)
are defined to be
These signals are used to transmit equally-likely bits over a
channel which adds white Gaussian noise of spectral height
to the signal.
- 1.
- Assuming , show that the ``correlation
coefficient'' of the signals s1(t) and s2(t), defined as
is given approximately by
where T is the duration of a bit interval.
- 2.
- What is the minimum value of the frequency shift for which the signals are orthogonal?
- 3.
- Draw a block diagram of the receiver which attains the minimum
probability of error.
- 4.
- Compute the minimum probability of error as a function of
.
- 5.
- What is the value of that minimizes the probability
of error?
Hint: You may need these equations:
Prof. Bernd-Peter Paris
3/3/1998