Problem 4. In Section 3.2-4 it was shown that the minimum frequency separation for orthogonality of binary FSK signals with coherent detection is Af = 1/2T. However, a lower error probability is possible with coherent detection of FSK if Af is increased beyond 1/2T. Show that the optimum value of Af is 0.715/T, and determine the probability of error for this value of Af.

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Problem 4.
In Section 3.2-4 it was shown that the minimum frequency separation for orthogonality
of binary FSK signals with coherent detection is Af = 1/2T. However, a lower error
probability is possible with coherent detection of FSK if Aƒ is increased beyond 1/2T.
Show that the optimum value of Af is 0.715/T, and determine the probability of error for
this value of Af.
Transcribed Image Text:Problem 4. In Section 3.2-4 it was shown that the minimum frequency separation for orthogonality of binary FSK signals with coherent detection is Af = 1/2T. However, a lower error probability is possible with coherent detection of FSK if Aƒ is increased beyond 1/2T. Show that the optimum value of Af is 0.715/T, and determine the probability of error for this value of Af.
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