Statistical Analysis of a Class of IF Correlator: FM Ranging Systems
FLORIDA UNIV GAINESVILLE ENGINEERING AND INDUSTRIAL EXPERIMENT STATION
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A statistical analysis technique for obtaining range responses of IF- correlator FM ranging systems is described under the assumptions of slowly varying, high-index frequency modulation and small propagation delays. It is shown that the range response for a system is determined by the functional relationship between modulation and reference and the envelope of the transmitted power spectrum, which under the high-index FM assumption is proportional to the first-order probability density of the modulation. Since statistical techniques are used, timefrequency domain analysis of the IF signal is not required and FMFM systems or systems which use random modulations are conveniently analyzed. The range response is derived in terms of a sum of weighted quasi-autocorrelation functions which have been translated along the delay axis. The displacements and weightings depend on the harmonic series which describes the IF reference as a function of the frequency modulation.
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