Journal of Multimedia Information System

Korea Multimedia Society (한국멀티미디어학회)
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Autocorrelation Coefficient for Detecting the Frequency of Bio-Telemetry

  • Received : 2022.09.11
  • Accepted : 2022.09.26
  • Published : 2022.09.30
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Abstract

A MATLAB program was developed to calculate the half-wavelength of a sine-curve baseband signal with white noise by using an autocorrelation function, a SG filter, and zero-crossing detection. The frequency of the input signal can be estimated from 1) the first zero-crossing (corresponding to ¼λ) and 2) the R value (the Y axis of the correlogram) at the center of the segment. Thereby, the frequency information of the preceding segment can be obtained. If the segment size were optimized, and a portion with a large zero-crossing dynamic range were obtained, the frequency discrimination ability would improve. Furthermore, if the values of the correlogram for each frequency prepared on the CPU side were prepared in a table, the volume of calculations can be reduced by 98%. As background, period detection by autocorrelation coefficients requires an integer multiple of 1/2λ (when using a sine wave as the object of the autocorrelation function), otherwise the correlogram drawn by R value will not exhibit orthogonality. Therefore, it has not been used in bio-telemetry where the frequencies move around.

Keywords

Acknowledgement

We wish to thank Professor Noriyasu Ando of the Maebashi Institute of Technology, who provided the moths used in the present study. This experimental research was performed with assistance from Ms. Miyoshi Tanaka and Ms. Hiroko Ichimura of Nakajima Labo, Tokai University, and Mr. Kokuryo Mitsuhashi and Ms. Megumi Amano of Seisa University. The flexible board of the transmitter was assembled by Japan System Design Inc., Hiroshima City, Japan. This research has resulted in a patent application by Tasada Works Inc., Takaoka City, Japan.

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