On the envelope and phase distributions for correlated gaussian quadratures

• Published in: IEEE communications letters Vol. 11; no. 12; pp. 985 - 987
• Main Authors: Aalo, V.A., Efthymoglou, G.P., Chayawan, C.
• Format: Journal Article
• Language: English
• Published: New York, NY IEEE 01-12-2007; Institute of Electrical and Electronics Engineers; The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
• Subjects: Applied sciences; AWGN; Clutter; Correlation; Detection, estimation, filtering, equalization, prediction; Envelope detectors; Envelopes; Exact sciences and technology; Fading; Gaussian; Information, signal and communications theory; Phase detection; Phase distribution; Phase frequency detector; Quadratures; Random variables; Rice; Signal and communications theory; Signal detection; Signal, noise; Statistical distributions; Telecommunications and information theory; Fading; Gaussian process; Central limit theorem; Envelope function; Wireless telecommunication; Signal estimation; phase distribution; Signal detection; correlated Gaussian quadratures; envelope distribution
• ISSN: 1089-7798; 1558-2558
• DOI: 10.1109/LCOMM.2007.071394

This letter derives the envelope and phase distributions for correlated non-zero mean and non-identical Gaussian quadratures. The resulting envelope distribution generalizes many of the commonly used envelope distributions such as Rayleigh, Rice, and Hoyt distributions. Special cases of the phase distribution also agree with results already available in the literature.