College of Arts and Sciences summary of research and creative activities, July 1, 1982 to June 30, 1983

Summary of research and creative activities of the College of Arts and Sciences at the University of Central Florida, July 1, 1982 - June 30, 1983

New Expressions for the PDF and CDF of the Filtered Output of an Analog Cross Correlator

A general expression is derived for the probability density function (pdf) associated with the filtered output of an analog cross correlator, the inputs of which consist of deterministic signals having the same frequency plus correlated stationary Gaussian noise processes. The correlator is composed of input bandpass filters, a multiplier, and a zonal Iowpass filter. The noise components in each channel have distinct variances and obey no spectral symmetry condition. Using the derived expression for the pdf, the cumulative distribution function (cdf) under the same general conditions is calculated. All previous known special cases are subsequently deduced from the general expressions given here. The general results derived here are more suitable for numerical computations than comparable previous results found in the literature due to the fact that expressions here do not involve multiple infinite series. Lastly, asymptotic formulas are developed for both the pdf and cdf which may be helpful in certain calculations

Research & scholarly achievements, July 1, 1982 - June 30, 1983

Annual summary of scholarly activities at UCF for the period from July 1, 1982 to June 30, 1983. This report highlights the contributions to scholarship by the Faculty during this period, including books and monographs, articles, creative works, presentations, grants and contracts