Polarity Correlation Method and Its Applications

概要

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Polarity cross-correlation is a simplified version of the usual correlation such that one signal is polarized to its signs in preceding to the correlation opration, and the required multiplication can be replaced by simple signdiscrimination and addition or subtraction. Thus, it may have the possibility of real time processing without any reduction of precision. However, no application to deterministic signals is seen. First, this paper explores its applicability to such signals as generally as possible, by theoretically or numerically examining polarity and usual auto-correlation functions of four kinds of the typical signals. As a result, it is made clear that both methods provide the equivlent characteristics for sinusoidal and FM-signals. Then, based on the results, its two applications, i.e., detection and demodulation of FSK signals in digital communication and time delay estimation in ultrasonic A-mode measurement, are proposed. The effectiveness of the proposed applications is confirmed through consideration about its superior implementation feature as well as such numerical results that both correlation methods work well equivalently up to a certain received SNR separate for each of the applications.
公益社団法人計測自動制御学会の論文