Error Probabilities for Non-Orthogonal M-ary Signals Under Phase-Coherent and Phase-Incoherent Reception
Abstract
Formulas for the error probabilities of non-orthogonal M-ary signals under optimum phase-coherent and phase-incoherent reception are derived in the form of previously untabulated single and double integrals. Two modes of reception are considered. In the first, one of M equal energy equiprobable signals is known to be transmitted during a baud of T seconds and subjected to additive white Gaussian noise. There is no fading and only one path is available for communication (no multipath). In the second mode of reception, the only difference is that a threshold is incorporated in the receiver. If the largest correlation value is less than the threshold, a decision is made that no signal was transmitted; if the largest correlation value exceeds the threshold, the signal corresponding to that particular correlation value is decided to have been transmitted. Applicability of the results to related problems and non-white and nonstationary noise is discussed, and bounds on performance in such situations are pointed out.
Document Details
- Document Type
- Technical Report
- Publication Date
- Jun 15, 1961
- Accession Number
- AD0261182
Entities
People
- Albert H. Nuttall