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Distribution of instantaneous frequency for signal plus noise

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2 Author(s)

A concise formula is derived for the probability distribution of the instantaneous frequency of an arbitrary bandpass signal plus Gaussian noise. The results are presented in terms of Marcum's Q -functions, with well-known properties. The results are applicable in the performance analysis of n -ary FM and PM data transmission systems. Illustrative examples of the application of the formula are worked out for binary FSK.

Published in:

IEEE Transactions on Information Theory  (Volume:10 ,  Issue: 4 )