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2007•IEEE Transactions on Circuits and Systems II Analog and Digital Signal ProcessingRequires access

Optimal Use of Some Classical Approximations in Filter Design

Hercules G. Dimopoulos

Open publisher page 24 citations

Abstract

The classical Butter worth, Chebyshev and Elliptic (Cauer) low-pass filter approximations can be used in the design of analog and IIR digital filters in such a way as to obtain passband, stopband and transition band optimized filters at no order cost. The exact analytical relationships for such an optimal deployment of these approximations are developed and presented in this paper and their use is demonstrated through design examples.

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What this paper is about

The classical Butter worth, Chebyshev and Elliptic (Cauer) low-pass filter approximations can be used in the design of analog and IIR digital filters in such a way as to obtain passband, stopband and transition band optimized filters at no order cost. The exact analytical relationships for such an optimal deployment of these approximations are developed and presented in this paper and their use is demonstrated through design examples.

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Available abstract

The classical Butter worth, Chebyshev and Elliptic (Cauer) low-pass filter approximations can be used in the design of analog and IIR digital filters in such a way as to obtain passband, stopband and transition band optimized filters at no order cost. The exact analytical relationships for such an optimal deployment of these approximations are developed and presented in this paper and their use is demonstrated through design examples.

Key concepts: Chebyshev filter, Elliptic filter, Stopband, Passband, Transition band, Infinite impulse response, Prototype filter, Network synthesis filters

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