Digital FM Double Errors

This paper evaluates the double-error probability (average probability of two consecutive bit errors) in digital FM for a noncoherent limiter/discriminator receiver with either integrate and dump or sample and hold (S&H) bit detection. A remarkably simple relationship is found relating the S&H double-error probability to the optimum coherent CPFSK bit error probability of Osborne and Luntz [1]. Index Terms--Communication theory, digital FM, discriminator detection, error probability.