Authors: Đurić, Miloš 
Stančić, Goran
Affiliations: Mathematical Institute of the Serbian Academy of Sciences and Arts 
Title: Selective digital filters with quadratic phase
Journal: International Journal of Circuit Theory and Applications
Volume: 44
Issue: 9
First page: 1730
Last page: 1741
Issue Date: 1-Jan-2016
Rank: M22
ISSN: 0098-9886
DOI: 10.1002/cta.2190
Abstract: 
A method for design of a new class of digital infinite impulse response filters realized as parallel connection of two all-pass filters is presented in this paper. A new approach to approximation of quadratic phase of all-pass filter at all frequencies is given. Chosen parallel structure offers opportunity for realization of filters with arbitrary shape phase. The presented algorithm is based on all-pass filter phase approximation. Phases of both all-pass filters approximate ideal quadratic phase in minimax sense at all frequencies. Such filters can be applied for chirp signal compression or expansion. Magnitude characteristic of described filters is very selective and elliptic-like. Obtained filters are compared with elliptic filter and group delay corrector in cascade. For the same specifications, much better results are achieved by the proposed filters. Parallel connection of all-pass filters introduces lower signal delay, and for a given maximal phase, approximation error demands less complex network. Examples to illustrate the proposed method are given.
Keywords: all-pass filter | arbitrary phase | complementary pair | phase approximation | phase correctors | pulse compression and expansion | quadratic phase
Publisher: Wiley
Project: Development of new information and communication technologies, based on advanced mathematical methods, with applications in medicine, telecommunications, power systems, protection of national heritage and education 

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