Chebyshev Approximation for Nonrecursive Digital Filters with Linear Phase
- 1 March 1972
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Circuit Theory
- Vol. 19 (2), 189-194
- https://doi.org/10.1109/tct.1972.1083419
Abstract
An efficient procedure for the design of finite-length impulse response filters with linear phase is presented. The algorithm obtains the optimum Chebyshev approximation on separate intervals corresponding to passbands and/or stopbands, and is capable of designing very long filters. This approach allows the exact specification of arbitrary band-edge frequencies as opposed to previous algorithms which could not directly control pass- and stopband locations and could only obtain(N - 1)/2different band-edge locations for a lengthNlow-pass filter, for fixed\delta_{1}and\delta_{2}. As an aid in practical application of the algorithm, several graphs are included to show relations among the parameters of filter length, transition width, band-edge frequencies, passband ripple, and stopband attenuation.Keywords
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