Title :
Detection of Modulated Gaussian Signals in Noise
Author_Institution :
Magnavox Company, Fort Wayne, Ind.
fDate :
2/1/1972 12:00:00 AM
Abstract :
A method using Hermite polynomials is utilized for analyzing the outputs of νth-law devices for inputs of modulated Gaussian signals and zero-mean Gaussian noise. New results are developed for the output correlation functions, and techniques for obtaining closed-form expressions are pointed out. Output signal-to-noise ratios for various input carrier-to-noise-power ratios are calculated, and plots are shown for a single sinusoidal modulating signal. Results are derived to show the existence of a theoretical maximum for the output signal-to-noise ratio. The method can be directly applied for the case of general Fourier expandable signals modulating a Gaussian carrier.
Keywords :
Background noise; Closed-form solution; Detectors; Gaussian noise; Noise level; Phase modulation; Polynomials; Signal analysis; Signal detection; Signal to noise ratio;
Journal_Title :
Communications, IEEE Transactions on
DOI :
10.1109/TCOM.1972.1091109