On the design of two channel perfect construction QMF filters

Saleh, Ahmed; Fahmy, Mahmoud; Raheem, G. A.; Fahmy, Gamal

doi:10.1002/(sici)1097-007x(200005/06)28:3<209::aid-cta95>3.0.co;2-w

Cited by 7 publications

(3 citation statements)

References 13 publications

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“…At the same time, it is important to note that a real benefit will be achieved in the case when both of two complementary filters are of interest because only one additional adder is enough to realize the second filter. For that reason and because of their high computational efficiency [13][14][15], both onedimensional and two-dimensional filters still remain in the focus of researchers [16][17][18][19][20].…”

Section: Introductionmentioning

confidence: 99%

A New Method for Design of Selective Digital Iir Filters With Arbitrary Phase

2019

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In this paper the design of selective digital filters that consists of a parallel connection of two all-pass sub-filters is presented. The phase of these filters has given an arbitrary shape ϕ(ω) in both pass-band and stop-band. The proposed method allows the calculation of selective filters with elliptic-like magnitude characteristic. Equations given in the paper are general and suitable for design of filters with arbitrary phase. The efficiency of the method is demonstrated on design of filters with piecewise linear and quadratic phases.

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Section: Introductionmentioning

confidence: 99%

A New Method for Design of Selective Digital Iir Filters With Arbitrary Phase

2019

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“…In addition to the standard realization structures, selective filters can be implemented as parallel connection of two all‐pass filters . This configuration has many desirable characteristics, such as low sensitivity and computational efficiency , which is the reason why both one‐dimensional and two‐dimensional filters still remain in the focus of researchers. An all‐pass parallel structure also provides opportunity to realize a pair of complementary filters at a low cost.…”

Section: Introductionmentioning

confidence: 99%

Selective digital filters with quadratic phase

Djurić¹,

Stančić

2016

Circuit Theory & Apps

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Summary 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. Copyright © 2016 John Wiley & Sons, Ltd.

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“…The design of 2-D recursive digital filters using a parallel connection of four 2-D allpass filter sections with quarter-plane support region for filter coefficients and delay elements in the forms of z 1 À1 and z 2 À1 was presented in [27]. In the 1-D area, many techniques have been proposed for designing two-channel QMF banks [5][6][7][8][9][10][11]22,23]. Among them, recursive QMF banks with 1-D digital allpass filters (DAFs) have received more attentions [5][6][7]9].…”

Section: Introductionmentioning

confidence: 99%

Design of digital allpass‐based two‐channel quincunx QMF banks

Lee

Shieh

2012

Circuit Theory & Apps

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This paper presents a novel structure for constructing two-channel quincunx quadrature mirror filter (QQMF) banks. The analysis and synthesis filters of the QQMF bank are composed of two-dimensional (2-D) recursive digital allpass filters with symmetric half-plane support regions. Using the 2-D doubly complementary half-band property possessed by the analysis and synthesis filters, we facilitate the design of the digital allpass-based two-channel QQMF banks. For finding the coefficients of the 2-D recursive symmetric half-plane digital allpass filters, the design problem is appropriately formulated to result in an optimization problem that can be solved by using a weighted least-squares algorithm in the minimax (L 1 ) optimal sense. The novelty of the proposed design method is that the designed 2-D QQMF bank achieves perfect magnitude response and possesses satisfactory phase response without requiring extra phase equalizer. Simulation results are also provided for illustration and comparison.

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On the design of two channel perfect construction QMF filters

Cited by 7 publications

References 13 publications

A New Method for Design of Selective Digital Iir Filters With Arbitrary Phase

A New Method for Design of Selective Digital Iir Filters With Arbitrary Phase

Selective digital filters with quadratic phase

Design of digital allpass‐based two‐channel quincunx QMF banks

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