Minimax design of adjustable-bandwidth linear-phase FIR filters

Lowenborg, P.; Johansson, Håkan

doi:10.1109/tcsi.2005.857549

Cited by 61 publications

(93 citation statements)

References 14 publications

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“…Example 1. We use the same design data as in [2], namely θ l = 0.3π, θ u = 0.5π, Δ = 0.1π, γ p = 0.01, and pose the design problem in the same way. For several values K (giving the number of filters H k (z) in (1), namely K + 1), we aim to find minimal orders N such that the optimal stopband attenuation resulted by solving (2) be γ s ≤ 0.00316 = −50 dB.…”

Section: Trigonometric Polynomials Approachmentioning

confidence: 99%

“…The implementation of the adjustable filter (1) is made via the Farrow structure [1] shown in Figure 1. The parameter p can be replaced by p − p 0 , with implementation benefits described in [2]; this can be viewed as a transformation of the coefficients of filters H k (z) and has no relevance on the design method. We want to design lowpass filters of form (1) with adjustable passband and stopband widths.…”

Section: Introductionmentioning

confidence: 99%

“…Minimax optimization was employed in [2], using linear programming, and in [5], using semidefinite programming (SDP). In both papers, the formulations are obtained through discretization of (2).…”

Section: Introductionmentioning

confidence: 99%

“…In Section 2, we transform (2) into an optimization problem involving 2D trigonometric polynomials and solved practically optimally using SDP. In Section 3, we modify problem (2) such that the transition band width is no longer constant. The modified problem can be solved using positive hybrid realtrigonometric polynomials.…”

Section: Introductionmentioning

confidence: 99%

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Minimax design of adjustable FIR filters using 2D polynomial methods

Dumitrescu

Sicleru

Stefan

2009

2009 IEEE International Conference on Acoustics, Speech and Signal Processing

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The problem under study here is the minimax design of linearphase lowpass FIR filters having variable passband width and implemented through a Farrow structure. We have two main contributions. The first is the design of adjustable FIR filters without discretization, using 2D positive trigonometric polynomials, an approach leading to semidefinite programming (SDP) formulation of the design problem. The second is to modify the design problem by a special choice for the passband and stopband edges of the variable FIR filter. The advantage is a lower implementation complexity. The new problem is solved using positive hybrid real-trigonometric polynomials and their SDP parameterization. Design examples prove the viability of our methods.

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Section: Trigonometric Polynomials Approachmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Minimax design of adjustable FIR filters using 2D polynomial methods

Dumitrescu

Sicleru

Stefan

2009

2009 IEEE International Conference on Acoustics, Speech and Signal Processing

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“…However, the transition bandwidth of the frequency transformation based filter can be significantly wider than that of the prototype filter. The spectral parameter approximation (SPA) technique [9], [10] makes use of weighted combination of the fixed-coefficient FIR sub-filters to generate the desired frequency response and provides absolute control over the cutoff frequency of the filter in the desired range. However, the complexity of the SPA technique is higher than all the other approaches.…”

Section: Introductionmentioning

confidence: 99%

Design and FPGA Implementation of Variable Cutoff Frequency Filter based on Continuously Variable Fractional Delay Structure and Interpolation Technique

Dhabu

Vinod

2015

International Journal of Advances in Telecommunications, Electrotechnics, Signals and Systems

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Abstract-This paper presents the design and FPGA implementation of interpolated continuously variable fractional delay structure based filter (ICVFD filter) with fine control over the cutoff frequency. In the ICVFD filter, each unit delay of the prototype lowpass filter is replaced by a continuously variable fractional delay (CVFD) element proposed in this paper. The CVFD element requires the same number of multiplications as that of the second-order fractional delay structure used in the existing fractional delay structure based variable filter (FDS based filter), however it provides fractional delays corresponding to the higher-order fractional delay structures. Hence, the proposed ICVFD filter provides wider cutoff frequency range compared to the FDS based filter. The ICVFD filter is also capable of providing variable bandpass and highpass responses. We use two-stage approach for the FPGA implementation of the ICVFD filter. First, we use pipelining stages to shorten the critical path and improve the operating frequency. Then, we make use of specific hardware resource, i.e. RAM-based Shift Register (SRL) to further improve the operating frequency and resource usage.Keywords-FPGA implementation, fractional delay structure based filter, reconfigurable digital filter, variable cutoff frequency filter.

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Sampling Rate Converters

Wanhammar

Saramäki

2020

Digital Filters Using MATLAB

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Minimax design of adjustable-bandwidth linear-phase FIR filters

Cited by 61 publications

References 14 publications

Minimax design of adjustable FIR filters using 2D polynomial methods

Minimax design of adjustable FIR filters using 2D polynomial methods

Design and FPGA Implementation of Variable Cutoff Frequency Filter based on Continuously Variable Fractional Delay Structure and Interpolation Technique

Sampling Rate Converters

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