CTH14-1: On the Integrated Cross-Noise Component in Correlation Receivers

An integrated cross-noise component frequently arises in communications and in signal processing. One typical example in communication is the autocorrelation receiver. Integrated cross-noise generally appears when a noisy signal is recovered (detected) using correlation techniques with a noisy signal as the reference. The statistics of the integrated cross- noise component are analyzed in general for both the cases of uncorrelated and correlated noise terms in the integrand. The statistics are characterized theoretically by an approximate probability density function. This theoretical probability density function is verified by simulation and its convergence towards a Gaussian distribution is discussed.