Naslov
Design of Sparse FIR-Filters With No Phase Specifications Using Signomial Programming

Autori
Jurišić Bellotti, Maja ; Vučić, Mladen

Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, prošireni sažetak, znanstveni

Izvornik
Abstract Book of Fourth International Workshop on Data Science / - Zagreb, 2019, 22-24

Skup
4rd International Workshop on Data Science (IWDS 2019)

Mjesto i datum
Zagreb, Hrvatska, 15.10.2019

Vrsta sudjelovanja
Poster

Vrsta recenzije
Domaća recenzija

Ključne riječi
digital filter ; FIR filter ; lp-norm ; nonlinear phase ; signomial programming ; sparsity

Sažetak
Finite impulse response filters are used in many digital signal processing applications because of their stability and simple implementation. More popular are FIR filters with linear phase, but if phase specification is not mandatory, additional filter selectivity can be gained by omitting phase constraints. On the other hand, when analyzing filters from hardware complexity point of view, it is beneficial to reduce the number of filter’s coefficients since each filter coefficient leads to one general purpose multiplier. By reducing the number of multipliers, power consumption of the complete design is decreased. One method for reducing filter’s coefficients is sparse filter design. However, this design leads to optimization problem with combinatorial complexity. Here, we focus on the design of sparse lowpass FIR filters with no phase specifications, constrained in a minimax sense, by using nonlinear optimization technique called signomial programming. Instead of classic minimization of the l0-norm, we minimize the lp-norm of filter’s coefficients with 0 < p < 1, which is known to force sparsity. We illustrate by examples that our method yields sparse filters whose magnitude attenuation is higher than those of their nonsparse counterparts.

Izvorni jezik
Engleski

Znanstvena područja
Elektrotehnika, Računarstvo

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