Peak constrained least-squares QMF banks

Kok, Chi-Wah; Siu, Wan-Chi; Law, Ying-Man

doi:10.1016/j.sigpro.2008.03.007

Cited by 19 publications

(6 citation statements)

References 20 publications

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“…Over the past few years, several methods [7,[8][9][10][11][12][13][14][15][16][17][18][19][20][21] have been proposed to minimize the amplitude distortion so that the perfect reconstruction can be achieved. For the perfect reconstruction, the prototype filter in QMF bank must satisfy these conditions [16]:…”

Section: Design Of Qmf Bank Using the Proposed Methodsmentioning

confidence: 99%

“…The author has used same objective function and optimization algorithm as in [16] in which the cutoff frequency is optimized to minimize the objective function instead of p ω . Over the past few years, many other techniques have also been proposed to design linear phase QMF banks using different algorithms [18][19][20][21] so that the perfect reconstruction can be achieved. A comparison of earlier exiting techniques [16][17] is carried out in [18].…”

Section: Introductionmentioning

confidence: 99%

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A Simple Alias-Free Linear Phase Quadrature Mirror Filter Bank

Kumar

Singh

Anand

2009

2009 Annual IEEE India Conference

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This paper presents a new algorithm for the design of a two band alias-free linear phase quadrature mirror filter (QMF) bank. The proposed algorithm is based on the optimum value of passband edge frequency ( p ω ) that is found by approximately satisfying the magnitude response condition of the prototype filter at frequency ( 0.5 ω π = ). In this algorithm, passband edge frequency is optimized. Performances of this algorithm are evaluated in term of computational time, reconstruction error and number of iterations. The design examples given in this paper clearly illustrate the superiority of this algorithm in terms of the peak reconstruction error, computation time, and number of iterations over Creusere and Mitra algorithm. The proposed algorithm is simple, easy to implement, and linear in nature.

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Section: Design Of Qmf Bank Using the Proposed Methodsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

A Simple Alias-Free Linear Phase Quadrature Mirror Filter Bank

Kumar

Singh

Anand

2009

2009 Annual IEEE India Conference

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“…All applications are based on the efficient design of filter banks. Initially, the research effort was focused on design of the two-channel QMF banks [6][7][8] and later on it was extended to multi-channel QMF banks that can be designed using three different approaches [1,9]:…”

Section: Introductionmentioning

confidence: 99%

A simple design method for the cosine-modulated filter banks using weighted constrained least square technique

Kumar

Singh

Anand

2011

Journal of the Franklin Institute

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“…The quadrature mirror filter pair has been the basis of many filter banks used in the frequency domain digital signal processing. In applications where a moderate selectivity is required, finite-duration impulse response (FIR) digital filters can easily provide the desired results by using various optimisation methods, including: genetic algorithm (Park and Cho 2006), iterative algorithms developed either in time or in frequency domain (Jou 2007;Kok, Siu, and La 2008), new algorithms developed in frequency domain (Kumar, Singh, and Anand 2008), and particle swarm optimisation like genetic algorithm (Kumar, Singh, and Anand 2009). Unfortunately, when a high selectivity is desired, the required order of a FIR filter can be very high, and in most cases, much higher than that of the corresponding IIR filter.…”

Section: Introductionmentioning

confidence: 99%

The design of two channel IIR QMF bank directly from analogue prototype

Stamenković¹,

Stojanovuć

2011

International Journal of Electronics

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This article presents a new method for designing two-band quadrature mirror filter (QMF) banks. Analytic solution of the filter coefficients is obtained in the sdomain. The characteristic function of the new filter has one multiple pole in the pass-band and one multiple zero in the stop-band. As a consequence, the transfer function has a single ripple, both in the pass-band and in the stop-band. Lowpass and highpass filter pair is double complementary in the s-plane. The gain responses of the lowpass and highpass filter pair at the crossover frequency are approximately 3 dB below their maximum values. Using the bilinear transformation, the analogue filter transfer function is mapped into the corresponding digital filter transfer function, so that the analogue crossover frequency is mapped into the digital frequency corresponding to ! ¼ /2. The filter characteristic exhibits Butterworth-like behaviour near the origin and Chebyshev-like behaviour (of the third order) near the pass-band edge.

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Peak constrained least-squares QMF banks

Cited by 19 publications

References 20 publications

A Simple Alias-Free Linear Phase Quadrature Mirror Filter Bank

A Simple Alias-Free Linear Phase Quadrature Mirror Filter Bank

A simple design method for the cosine-modulated filter banks using weighted constrained least square technique

The design of two channel IIR QMF bank directly from analogue prototype

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