Design of IIR digital allpass filters based on eigenvalue problem

Zhang, Xi; Iwakura, Hiroshi

doi:10.1109/78.740143

Cited by 57 publications

(35 citation statements)

References 22 publications

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“…This includes IIR filter design approach that can satisfy both magnitude and phase characteristics simultaneously [24][25][26][27][28]. The design of IIR filters with constant group delay in the passband is also carried out by using allpass structures through evaluation of phase response instead of approximating the group delay directly [29][30][31][32]. Some other methods used an indirect approach based on model reduction techniques where a linear-phase FIR filter that meets the required specifications is first designed and then a lower order IIR filter that meets the original amplitude specifications while maintaining a linear-phase response in the passband is obtained [33][34][35].…”

Section: Introductionmentioning

confidence: 99%

Optimal Multiobjective Design of Digital Filters Using Taguchi Optimization Technique

Ouadi¹,

Bentarzi²,

Recioui³

2014

Journal of Electrical Engineering

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The multiobjective design of digital filters using the powerful Taguchi optimization technique is considered in this paper. This relatively new optimization tool has been recently introduced to the field of engineering and is based on orthogonal arrays. It is characterized by its robustness, immunity to local optima trapping, relative fast convergence and ease of implementation. The objectives of filter design include matching some desired frequency response while having minimum linear phase; hence, reducing the time response. The results demonstrate that the proposed problem solving approach blended with the use of the Taguchi optimization technique produced filters that fulfill the desired characteristics and are of practical use.

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Section: Introductionmentioning

confidence: 99%

Optimal Multiobjective Design of Digital Filters Using Taguchi Optimization Technique

Ouadi¹,

Bentarzi²,

Recioui³

2014

Journal of Electrical Engineering

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“…Various design techniques have been proposed with the objective of producing selective digital networks that exhibit approximately linear phase in the frequency band of interest [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15]. A widely applied technique is phase or delay equalization, by cascading a selective IIR elliptic filter to an equalizer, generally composed by first-and second-order allpass filters [3,4].…”

Section: Introductionmentioning

confidence: 99%

Optimum design of group delay equalizers

Quelhas¹,

Petraglia²

2011

Digital Signal Processing

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“…It can be seen that and are composed of the delay section and allpass filter [20]. Therefore, the design problem of the proposed IIR orthogonal wavelet filter banks can be reduced to the phase approximation of the allpass filter .…”

Section: Design Of Iir Orthogonal Wavelet Filter Banksmentioning

confidence: 99%

“…Thus, the closed-form solution is given by (27) On the other hand, the optimal design with an equiripple frequency response is also needed in many applications of signal processing [2], [11], [19]. The optimization method for designing the equiripple phase response of allpass filters has been proposed in [20] by using the well-known Remez exchange algorithm, where the obtained equiripple solution is optimal in the minimax (Chebyshev) sense. Furthermore, the allpass filters with a specified degree of flatness can also be designed by the approach proposed in [22].…”

Section: Design Of Iir Orthogonal Wavelet Filter Banksmentioning

confidence: 99%

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Design of iir orthogonal wavelet filter banks using lifting scheme

Zhang

Wang

Yoshikawa

et al.

2004 International Conference on Image Processing, 2004. ICIP '04.

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Abstract-The lifting scheme is well known to be an efficient tool for constructing second generation wavelets and is often used to design a class of biorthogonal wavelet filter banks. For its efficiency, the lifting implementation has been adopted in the international standard JPEG2000. It is known that the orthogonality of wavelets is an important property for many applications. This paper presents how to implement a class of infinite-impulse-response (IIR) orthogonal wavelet filter banks by using the lifting scheme with two lifting steps. It is shown that a class of IIR orthogonal wavelet filter banks can be realized by using allpass filters in the lifting steps. Then, the design of the proposed IIR orthogonal wavelet filter banks is discussed. The designed IIR orthogonal wavelet filter banks have approximately linear phase responses. Finally, the proposed IIR orthogonal wavelet filter banks are applied to the image compression, and then the coding performance of the proposed IIR filter banks is evaluated and compared with the conventional wavelet transforms.Index Terms-Allpass filter, approximate linear phase, infiniteimpulse-response (IIR) filter, image coding, lifting scheme, orthogonal wavelet filter bank.

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Design of IIR digital allpass filters based on eigenvalue problem

Cited by 57 publications

References 22 publications

Optimal Multiobjective Design of Digital Filters Using Taguchi Optimization Technique

Optimal Multiobjective Design of Digital Filters Using Taguchi Optimization Technique

Optimum design of group delay equalizers

Design of iir orthogonal wavelet filter banks using lifting scheme

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