Title :
Optimal FIR and IIR Hilbert transformer design via LS and minimax fitting
Author :
Kollár, István ; Pintelon, Rik ; Schoukens, Johan
Author_Institution :
Dept. of Meas. & Instrum. Eng., Tech. Univ., Budapest, Hungary
fDate :
12/1/1990 12:00:00 AM
Abstract :
A method for the design of both finite impulse response (FIR) and infinite impulse resonant (IIR) digital Hilbert transformers, based on a parameter estimation method for linear systems, is presented. The first approximation is performed in a least-squares (LS) sense in the complex domain. An iterative extension of the algorithm is also presented. It results in an approximation in a minimax (Chebyshev) sense and is also in the complex domain. The procedures described can be used for the design of digital filters other than Hilbert transformers since the desired frequency response is given point by point
Keywords :
Chebyshev approximation; circuit CAD; computerised signal processing; digital filters; iterative methods; least squares approximations; linear network synthesis; minimax techniques; parameter estimation; Chebyshev; FIR; IIR Hilbert transformer design; complex domain; digital Hilbert transformers; digital filters; finite impulse response; infinite impulse resonant; iterative extension; least-squares; linear systems; minimax fitting; optimal design; parameter estimation; Chebyshev approximation; Design methodology; Digital filters; Finite impulse response filter; Frequency response; Iterative algorithms; Linear systems; Minimax techniques; Parameter estimation; Resonance;
Journal_Title :
Instrumentation and Measurement, IEEE Transactions on
