Optimal FIR and IIR Hilbert Transformer Design Via LS and Minimax Fitting
نویسندگان
چکیده
The usual way of the implementation of on-line discrete Hilbert transformers is the design of linear phase finite impulse response (FIR) filters. Recently, a method has been published for the design of infinite impulse response (IIR) Hilbert transformers as well. The paper introduces a new method for the design of both FIR and IIR Hilbert transformers, based on a parameter estimation method for linear systems. The first approximation is performed in least squares (LS) sense in the complex domain. An iterative extension of the algorithm is also presented. It results in an approximation in minimax (Chebyshev) sense, and is also in the complex domain. Keywords-Hilbert transformer, least squares fitting, Chebyshev approximation, minimax criterion, approximation in the complex domain, digital filter design.
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