METHODS OF DETERMINATION OF AMPLITUDE AND PHASE OF A TIME-QUANTIZED PERIODIC SIGNAL,
FOREIGN TECHNOLOGY DIV WRIGHT-PATTERSON AFB OHIO
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This paper discusses methods for the determination of amplitudes and phases of the harmonic components of a suitable data hold of a time quantized sampled signal. Expressions for the demodulator outputs in the case of the synchronous detection method, and in the case of the harmonic analysis method are given. The central topic is the choice of a sufficient, effective integration time interval, in terms of the number of the discreet sampling intervals, which would assure optimum precision. Expressions for the minimum attainable errors are developed for the synchronous detection method, and conditions for the attainment of perfect precision with the harmonic analysis method are specified. Comparison of these two methods shows the superiority of the harmonic analysis method, as far as precision is concerned. However, the method requires consideration of a double number of harmonic components and requires an additional operation of multiplication. The method of synchronous detection recommends itself only in those cases when the data hold function of the discrete signal is in its form close to a sinusoid. The proposed computational block diagram can be realized by either analogue or digital components.