Error probability for optimal and suboptimal quadratic receivers in rapid Rayleigh fading channels
Abstract
The exact performance of optimal and suboptimal quadratic receivers in a binary hypothesis test between jointly distributed zero mean complex Gaussian variates is derived. The probability of error is given as a function of the characteristic values of a generalized eigenvalue problem set up in terms of the covariance matrix of the received signalplusnoise and in the matrix of the quadratic form of the receiver. The results include the exact performance of various types of suboptimal receivers including those previously derived for the envelope matched filter for MFSK and the noncoherent DBPSK receiver in rapid Rayleigh fading, nonfrequencyselective channels. Also, the performance of nearoptimal stationary processlong observation time receivers may be calculated for noncoherent signaling in the same channel.
 Publication:

IEEE Journal on Selected Areas in Communications
 Pub Date:
 February 1987
 Bibcode:
 1987IJSAC...5..302B
 Keywords:

 Channel Noise;
 Error Signals;
 Frequency Shift Keying;
 Phase Shift Keying;
 Rayleigh Distribution;
 Receivers;
 Signal Fading;
 Covariance;
 Eigenvalues;
 Hermitian Polynomial;
 Matrices (Mathematics);
 Nyquist Frequencies;
 Quadratic Equations;
 Signal To Noise Ratios;
 Communications and Radar