Analysis of the error probability of an all digital detector

Sam Reisenfeld*, Kung Yao

*Corresponding author for this work

Research output: Contribution to journalArticle

Abstract

Several analytical approaches are taken to evaluate the error probability of a digital communications system with a detector implemented as a digital signal processor. Specifically, a binary hypothesis problem is considered, where the reciever consists of a low-pass filter, a sampler, a dynamic range scaling device, an A/D converter, a digitally implemented integrate-and-dump filter and a threshold device. The digital processing for the receiver is done with fixed-point arithmetic. Exact error probability expressions are given for cases overflow and no overflow in the integrate-and-dump filter. Approximate expressions for P//e, which depend upon approximations of the moments of the quantization error, are obtained. The P//e expressions are derived as functions of E//b/N//O, the number of bits in the integrate-and-dump filter output, the number of samples per binary symbol, and the dynamic range scaling factor. Numerical examples illustrating the above analytical approaches are given.

Original languageEnglish
JournalAGARD Conference Proceedings
Issue number239
Publication statusPublished - 1978

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