Accession Number : ADA134098


Title :   Exact Performance of General Second-Order Processors for Gaussian Inputs


Descriptive Note : Technical rept.


Corporate Author : NAVAL UNDERWATER SYSTEMS CENTER NEW LONDON CT


Personal Author(s) : Nuttall, Albert H


Full Text : https://apps.dtic.mil/dtic/tr/fulltext/u2/a134098.pdf


Report Date : 15 Oct 1983


Pagination or Media Count : 70


Abstract : The characteristic functions of general second-order processors with nonstationary nonzero mean Gaussian inputs is derived in closed form. Three classes of processors are considered: in the first, the decision variable is the sum of K independent terms, each of second-order form involving two statistically dependent Gaussian random variables; the second class of processor is a narrowband cross-correlator of arbitrary Gaussian processes, with accumulation of K independent low pass filter output samples; in the third class, the decision variable is a general quadratic-plus-linear form of M random variables, all statistically dependent on each other. Specializations to various forms of weighted energy detectors and correlators are made. Also, the characteristics function for the first class of processor subject to fading is evaluated. Programs for evaluating the cumulative and exceedance distribution functions of all three classes of processors are given and have been used to plot representative examples of performance. A comparison with a simulation result corroborates the analysis and program of the first class of processor.


Descriptors :   *COMPUTER PROGRAMS , *DISTRIBUTION FUNCTIONS , *SIGNAL PROCESSING , *STATISTICAL PROCESSES , COMPUTATIONS , CROSS CORRELATION , INPUT , LOW PASS FILTERS , NARROWBAND , PERFORMANCE TESTS , PROCESSING EQUIPMENT , RANDOM VARIABLES , UNDERWATER


Subject Categories : Electrical and Electronic Equipment
      Statistics and Probability
      Computer Programming and Software


Distribution Statement : APPROVED FOR PUBLIC RELEASE