Design of complex all-pass networks using Remez algorithm

Ikehara, Masaaki; Funaishi, M.; Kuroda, Hideo

doi:10.1109/82.168947

Cited by 31 publications

(15 citation statements)

References 7 publications

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“…Moreover, P 1d ( ) and P 2d ( ) satisfy the following stability constraints for the IIR DAFs A i (z) [25,26]: i ( ) is monotonically decreasing and i ( )…”

Section: Problem Formulation Of the Spt Designmentioning

confidence: 99%

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Design of IIR linear‐phase nonuniform‐division filter banks with signed powers‐of‐two coefficients

Lee

Cheng

Chen

2008

Circuit Theory & Apps

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SUMMARYThis paper deals with the minimax design of two-channel linear-phase (LP) nonuniform-division filter (NDF) banks using infinite impulse response (IIR) digital all-pass filters (DAFs) with signed powers-oftwo (SPT) coefficients. Based on the theory of two-channel NDF banks using two IIR DAFs, the design problem is appropriately formulated to result in an appropriate Chebyshev approximation for the desired phase responses of the IIR DAFs. Through a frequency sampling and iterative approximation method, the optimization problem for finding the SPT coefficients for the IIR DAFs can be solved by utilizing a weighted least-squares approach in conjunction with a coordinate rotational digital computer (CORDIC) algorithm. The resulting two-channel SPT coefficient NDF banks can possess approximately LP response without magnitude distortion. Several simulation examples are presented for illustration and comparison.

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“…Moreover, P 1d ( ) and P 2d ( ) satisfy the following stability constraints for the IIR DAFs A i (z) [25,26]: i ( ) is monotonically decreasing and i ( )…”

Section: Problem Formulation Of the Spt Designmentioning

confidence: 99%

“…T (25) where The design process of the proposed technique is then performed on d = 1d ∪ 2d ∪ 3d with S = S 1 + S 2 + S 3 grid points. If the number S of grid points is sufficiently large, the obtained best approximation solution of the objective function based on d will be close to the best solution found based on .…”

mentioning

confidence: 99%

Design of IIR linear‐phase nonuniform‐division filter banks with signed powers‐of‐two coefficients

Lee

Cheng

Chen

2008

Circuit Theory & Apps

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“…Literature provides a wide variety of methods for designing allpass filters [9]- [11]. However, a well-known restriction in the design of stable allpass filters is that they have nonnegative group delay, i.e., the phase response is a decreasing function.…”

Section: Co-phasing Filters a Ideal Iir Allpass Filtersmentioning

confidence: 99%

Design of co-phasing allpass filters for full-duplex OFDM relays

Riihonen¹,

Werner²,

Cousseau

et al. 2008

2008 42nd Asilomar Conference on Signals, Systems and Computers

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Abstract-This paper studies amplify-and-forward relaying of OFDM signals. In the considered cellular hotspot scenario, a destination node receives superposition of single-hop transmission from a source node and two-hop transmissions via full-duplex relays. We propose a novel co-phasing scheme that results in significant coherent combining gain in the destination due to subcarrier phase rotation in the relays. In full-duplex relays, the phase rotation is achievable by time-domain baseband filtering. Taking into account the properties of this particular application, we propose to use a complex FIR eigenfilter method for designing approximately allpass filters with desired phase response.

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“…This includes IIR filter design approach that can satisfy both magnitude and phase characteristics simultaneously (Inukai 1980; Cortelazzo and Lightne 1984; Sullivan and Adams 1997; Lang 2000; Lertniphonphun and McClellan 2001). 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 (Jing 1987; Ikehara et al 1992; Lang and Laakso 1994; Zhang and Iwakura 1999). 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 (Sreeram and Agathoklis 1992; Peng et al 1992; Beliczynski et al 1992).…”

Section: Introductionmentioning

confidence: 99%

Optimal multiobjective design of digital filters using spiral optimization technique

2013

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The multiobjective design of digital filters using spiral optimization technique is considered in this paper. This new optimization tool is a metaheuristic technique inspired by the dynamics of spirals. 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 spiral optimization technique produced filters which fulfill the desired characteristics and are of practical use.

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Design of complex all-pass networks using Remez algorithm

Cited by 31 publications

References 7 publications

Design of IIR linear‐phase nonuniform‐division filter banks with signed powers‐of‐two coefficients

Design of IIR linear‐phase nonuniform‐division filter banks with signed powers‐of‐two coefficients

Design of co-phasing allpass filters for full-duplex OFDM relays

Optimal multiobjective design of digital filters using spiral optimization technique

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