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1996•IEE Proceedings - Circuits Devices and SystemsOpen access

Design of linear phase Nyquist filters

Essam E. Hassan, H.A. Ragheb

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Abstract

The design of a linear phase Nyquist filter is introduced. The technique is based on setting a target function with a strictly linear phase and attempting to approximate the filter transfer function to the target function using the least-mean-square method. Further, the analysis is extended to cover the practical case of a pulse response rather than the impulse response. In all cases excellent results have been obtained, which compare favourably with other results available in the literature.

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What this paper is about

The design of a linear phase Nyquist filter is introduced. The technique is based on setting a target function with a strictly linear phase and attempting to approximate the filter transfer function to the target function using the least-mean-square method. Further, the analysis is extended to cover the practical case of a pulse response rather than the impulse response. In all cases excellent results have been obtained, which compare favourably with other results available in the literature.

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Available abstract

The design of a linear phase Nyquist filter is introduced. The technique is based on setting a target function with a strictly linear phase and attempting to approximate the filter transfer function to the target function using the least-mean-square method. Further, the analysis is extended to cover the practical case of a pulse response rather than the impulse response. In all cases excellent results have been obtained, which compare favourably with other results available in the literature.

Key concepts: Impulse invariance, Linear phase, Linear filter, Impulse response, Transfer function, Nyquist–Shannon sampling theorem, Control theory (sociology), Finite impulse response

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