Abstract
The threshold noise performance of a limiter-discriminator, with input signal uniformly distributed over the full scale frequency deviation range, is analyzed in terms of an evaluation criterion which specifies the system resolution <tex xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">(\pm R)</tex> and the probability ( <tex xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">P</tex> ) with which output noise exceeds that resolution. This criterion, meaningful above and below threshold, forms a basis for a precise definition of threshold, the location of which is determined equally precisely and found to lie between 6 dB and 10 dB input signal-to-noise ratio (SNR) for the range of ( <tex xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">R, P</tex> ) values considered. The channel efficiency of FM relative to Shannon's law is also determined approximately in light of this criterion, from which the ultimate FM threshold follows.
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