WSEAS Transactions on Signal Processing
Print ISSN: 1790-5052, E-ISSN: 2224-3488
Volume 15, 2019
Design of Maximally Flat Filters for Signal Processing Applications
Authors: , ,
Abstract: Existing window based methods used for the design of finite impulse response filters suffer from possessing characteristics like the minimum sidelobe energy and the maximally flatness within the passband. The proposed method solves these problems. This paper presents a generalized window based approach to the design of maximally flat finite impulse response filters. The basis functions, which very closely approximates the prolate spheroidal wave functions, are explored. The novelty of this proposal is the use of these basis functions for designing the filter. Further, an additional parameter ‘a’ is incorporated to control the filter specifications. An explicit formula for computation of the frequency response is derived, which is a new contribution. It is shown that the impulse response coefficients of the maximally flat filter can be obtained directly from the frequency response. Frequency domain characterization is made. Further contribution is to meet the given filter specifications with lower order generalized prolate type window functions. Statistical analysis is performed to validate the proposed method. The proposed maximally flat filter outperforms the state-of-the-art methods. Finally, it is concluded that the proposed filter exhibits better error convergence and tracking performance, which may be useful for precision filtering of biomedical signals because of their low passband and stopband errors.
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Pages: 55-64
WSEAS Transactions on Signal Processing, ISSN / E-ISSN: 1790-5052 / 2224-3488, Volume 15, 2019, Art. #8