Signal processing apparatus for generating a fourier transform

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G06F 15332

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049997998

ABSTRACT:
Apparatus for producing the Fourier coefficients of a time and/or space-varying input signal utilizes a bank of delay filters whose outputs are selectively connected to the inputs of a bank of accumulating circuit each of which produces one of the desired Fourier coefficients. Each of the delay filters produces an output signal which is the weighted average of one or more samples of the input signal, the samples being equally spaced in time over the period of the input signal. The accumulating circuits, equal in number to the number of harmonics in the desired Fourier series, each produce a weighted sum of the output(s) of selected delay filters which are interconnected with the accumulating circuits in accordance with the so-called Mobius function. The apparatus may employ either general purpose or special purpose digital or analog processing circuits, and is particularly suitable for implementation with VLSI fabrication techniques. Futher circuit simplification may be achieved by preprocessing the input signal into a delta modulated bipolar signal to reduce the number of internal data paths and to permit the signal averaging function to be implemented with a simple up-down counter.

REFERENCES:
patent: 4159528 (1979-06-01), Perry
patent: 4231103 (1980-10-01), Timm
patent: 4823295 (1989-04-01), Mader
Bruun, "Z-Transform DFT Filters and FFT's", IEEE TRans. on Acoustics, Speech, and Signal Processing, vol. ASSP-26, No. 1, Feb. 1978, pp. 56-63.

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