This paper presents a new method for measuring the mean-frequency of a narrow-band random signal. The random signal is quantized into a three level signal (ternary signal) by setting two threshold levels above and below the zero-level of the random signal symmetrically. The method utilizes the auto-correlation function of the ternary signal. The mean-frequency is measured by tracking the first zero-crossing point of the auto-correlation function.
First, the principle of the method is described, and the effects of various parameters are numerically examined by assuming that the narrow-band random signal is a Gaussian random process.
Next, a prototype equipment is set up and the experiment of the mean-frequency measurement is performed. The experimental results are compared with the analytical results. It is noted that the variance of measured values becomes minimum when the threshold levels are set to be 80% of the r. m. s. value of the signal, and the variance of measured values is inversely proportional to the root of the measuring interval.
The typical performance of the prototype equipment is as follows: measuring range is 30Hz-10kHz, measuring accuracy is 0.3% (Selectivity 30, Time constant 1.0s, About 300Hz).
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