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On the design of linear phase Nyquist filter

Hassan Essam, 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, Mathematics, Filter (signal processing), Transfer function, Control theory (sociology)

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