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access icon free Appendix G: Polyphase filter design

Design an FIR low-pass filter with a bandwidth of fsi/2N, where fsi is the input sampling frequency. The filter can be designed by inverse Fourier transforming the theoretical frequency response of the low-pass filter. Since the theoretical frequency response is a square wave, the inverse Fourier transform generates a sin(x)/x waveform of infinite length. After transformation into the spatial domain, a window function has to be applied to limit the number of filter coefficients.

Inspec keywords: low-pass filters; inverse transforms; Fourier transforms; frequency response; FIR filters

Other keywords: window function; spatial domain; inverse Fourier transform; FIR filter; low-pass filter; frequency response; polyphase filter design; filter coefficients

Subjects: Filtering methods in signal processing

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content/books/10.1049/pbte053e_appendixg
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