Optimal Design of Cosine Modulated Nonuniform Linear Phase FIR Filter Bank via Both Stretching and Shifting Frequency Response of Single Prototype Filter
MetadataShow full item record
This paper designs an optimal cosine modulated nonuniform linear phase finite impulse response (FIR) filter bank. The frequency responses of all the analysis filters and the synthesis filters of the filter bank are derived based on both stretching and shifting the frequency response of a single prototype filter. The total aliasing error of the filter bank is minimized subject to specifications on the maximum magnitude distortion of the filter bank and the maximum ripple magnitudes of the prototype filter over both the passband and the stopband. This paper proposes a joint constraint transcription and modified filled function method for solving the optimization problem. In particular, the functional inequality constraints are converted to discrete constraints via the constraint transcription method. The globally optimal solution of the nonconvex optimization problem can be found efficiently via the modified filled function method. Computer numerical simulation results show that our design outperforms existing designs.
Showing items related by title, author, creator and subject.
Optimal Cosine Modulated Nonuniform Linear Phase FIR Filter Bank Design via Stretching and Shifting Frequency Response of Prototype FilterHo, C.; Ling, B.; Benmesbah, L.; Kok, T.; Siu, W.; Teo, Kok Lay (2010)This paper proposes an optimal cosine modulated nonuniform linear phase finite impulse response (FIR) filterbank design. The frequency responses of all the analysis filters and the synthesis filters of the filter bank are ...
Tseng, Chien H. (1999)The design of envelope-constrained (EC) filters is considered for the time-domain synthesis of filters for signal processing problems. The objective is to achieve minimal noise enhancement where the shape of the filter ...
Minimax passband group delay nonlinear phase peak constrained FIR filter design without imposing desired phase responseHo, C.; Ling, B.; Dam, Hai Huyen Heidi; Teo, Kok Lay (2012)In this paper, a nonlinear phase finite impulse response (FIR) filter is designed without imposing a desired phase response. The maximum passband group delay of the filter is minimized subject to a positivity constraint ...