Efficient Wide-Band FIR LTI Systems Derived Via Multi-Rate Techniques and Sparse Bandpass Filters

Author

Sheikh, Z.U. ; Johansson, Hakan

Author_Institution

Dept. of Electr. Eng., Linkoping Univ., Linköping, Sweden

Volume

60

Issue

7

fYear

2012

fDate

7/1/2012 12:00:00 AM

Firstpage

3859

Lastpage

3863

Abstract

This correspondence introduces efficient realizations of wide-band LTI systems. They are single-rate realizations but derived via multi-rate techniques and sparse bandpass filters. The realizations target mid-band systems with narrow don´t-care bands near the zero and Nyquist frequencies. Design examples for fractional-order differentiators demonstrate substantial complexity savings as compared to the conventional minimax-optimal direct-form realizations.

Keywords

FIR filters; band-pass filters; Nyquist frequencies; efficient wide-band FIR LTI systems; finite-length impulse response frequency-selective filters; fractional-order differentiators; midband systems; minimax-optimal direct-form realizations; multirate techniques; single-rate realizations; sparse bandpass filters; Approximation methods; Complexity theory; Delay; Filtering theory; Finite impulse response filter; Niobium; Bandpass filters; finite-length impulse response systems; fractional-order differentiators; frequency-response masking techniques; multi-rate techniques; sparse filters;

fLanguage

English

Journal_Title

Signal Processing, IEEE Transactions on

Publisher

ieee

ISSN

1053-587X

Type

jour

DOI

10.1109/TSP.2012.2194712

Filename

6184330