Closed-form design of maximally flat R-regular Mth-band FIR filters
نویسندگان
چکیده
of zeros of d F ( e j W ) / d w [2]. Generally speaking, the maximally In this paper, we derive some properties of maximally flat R-regular Mth-band FIR filters. We show that the R-regularity implies maximally flat frequency response at w = 0. The R-regular constraints are a set of linear equations with complex coefficients. We can convert these complex-value equations to equivalent ones with only real coefficients. We also show that it is possible to completely determine the filter coefficients by R-regularity. Design examples are presented to illustrate the R-regularity properties and the effectiveness of the proposed approach.
منابع مشابه
Closed-form design of generalized maximally flat low-pass FIR filters using generating functions
In this paper, we propose a closed-form design of the generalized maximally flat low-pass FIR filters. By representing the transfer function as the Bernstein polynomial form, a siniple generating function of the weighting coefficients is derived. We show that the linear phase maximally flat FIR filters and the nonlinear phase maximally flat halfband FIR. filters are both special cases of the pr...
متن کاملClosed-Form Design of Maximally Flat IIR Half-Band Filters
Half-band (HB) filters are of great importance and are often used in multirate digital signal processing systems, filter banks and wavelets. In this paper, a new closed-form expression for the transfer function of the maximally flat (MF) infinite-impulse response (IIR) HB filters is presented. The filter coefficients are directly obtained by solving a linear system of Vandermonde equations that...
متن کاملDesign of Low Delay Bandpass FIR Filters with Maximally Flat Characteristics in the Passband and the Transmission Zeros in the Stopband
Abstract: The large group delay of the high order FIR filters is unacceptable in some applications. Therefore, recently, how to reduce the group delay of FIR filters has been studied intensively. To reduce the ringing in the time domain and to maximize the stopband attenuation, it is useful to design FIR filters with maximally flat characteristics in the passband and transmission zeros in the s...
متن کاملA Closed Form Transfer Function of Low Delay Bandpass FIR Filters with Maximally Flat characteristics in the Passband and the Transmission Zeros in the Stopband
The large group delay of the high order FIR filters is unacceptable in some applications. So, recently, how to reduce the group delay of FIR filters has been studied intensively. To reduce the ringing in the time domain and to maximize the stopband attenuation, it is useful to design FIR filters with maximally flat characteristics in the passband and transmission zeros in the stopband. We prese...
متن کاملReducing Stopband Peak Errors of R-Regular 4th-Band Linear Phase FIR Filters by Superimposing
R-regular Mth band filters are an important class of digital filters and are used in constructing Mth-band wavelet filter banks, where the regularity is essential. But this kind of filter has larger stopband peak errors compared with a minimax filter of the same length. In this paper, peak errors in stopband of R-regular 4th-band filters are reduced by means of superimposing two filters with su...
متن کامل