Analog Gabor Transform Filter with Complex First Order System

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  • Analog Gabor Transform Filter with Comp

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Abstract

We propose an analog Gabor transform filter. Gabor function is widely used for digital time-frequency analysis as non-orthogonal wavelet. However, it has never been reported in analog filtering. The proposed filter is realized as cascade connection of CFOS (complex first order system). The impulse response of the filter will be considered as the product of a window function and a sinusoidal wave. Because the window function is approximated to Gaussian function, we regard the whole system as Gabor transformer. We have actually constructed the proposed filter, and measured the characteristics. Its mathematical foundation and experimental results are presented.

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