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Mildly suboptimal digital filters using a host windowing approach

Mildly suboptimal digital filters using a host windowing approach

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A digital-filter design technique is described which employs simple trigonometric windowing of a ‘host’ digital filter. In contrast to the usual windowing rationale which uses a truncated ideal impulse response, this approach uses an optimal (finite-length-minimax) host impulse response. It is shown that optimal Hilbert-transform filters serve as suitable hosts for lowpass filters of even-length impulse response, and optimal differentiators can be used as hosts for odd-length impulse responses. The resulting windowed filters are no longer optimal, but yield approximation errors under most operating conditions.

References

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      • L.R. Rabiner , B. Gold . (1975) , Theory and application of digital signal processing.
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      • G D. Cain . Hilbert-transform description of linear filtering. Electron. Lett. , 380 - 382
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      • Cain, G.D.: `Staircase digital filters using Hilbert transform elements', Proceedings of conference on digital processing of signals in communication, 1972, Loughborough University, , p. 101–112, IERE Conf. Proc. 23.
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      • Cain, G D., Abed, A.H., Abu El-Ata, : `Digital filter implementation using Hilbert transform staircase structures', To be presented at Florence conference on digital signal processing, 1975, University of Florence.
    5. 5)
      • L.R. Rabiner , K.W. Schafer . On the behavior of minimax FIR digital Hilbert transformers. Bell System. Tech. J. , 363 - 390
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