Design of IIR Notch Filter with Approximately Linear Phase

Nikolić, Saša; Stančić, Goran

doi:10.1007/s00034-012-9426-x

Cited by 11 publications

(5 citation statements)

References 6 publications

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“…In many practical digital filter applications in addition to the desired magnitude characteristic, a preferred feature is linear or approximately linear phase to minimize the signal distortion. This is for this reason that in existing literature majority of the papers refer to constant or linear phase filter design [1,2]. In that case the finite impulse response (FIR) filters are a natural solution, because they can provide exactly linear phase if coefficients have symmetry.…”

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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“…Besides, others brought on some all-pass networks and equalizers to realize the linear phase of the IIR notch filter. In [ 17 ], the authors put forward an IIR notch filter with approximately linear phase with two all-pass sub-filters, whereas the computing complexity of coefficients was not low enough.…”

Section: Introductionmentioning

confidence: 99%

A BDS Interference Suppression Technique Based on Linear Phase Adaptive IIR Notch Filters

Zhao

Sun

et al. 2018

Sensors

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The continuous wave interferences (CWIs) and the narrow-band interferences (NBIs) have significantly impacted the acquisition, tracking and positioning accuracy of Beidou Navigation Satellite System (BDS) receivers. As an interference suppression technology with a simple structure and low hardware cost, the adaptive infinite-duration impulse response (IIR) notch filter has been widely employed in the receivers to mitigate the CWIs and the NBIs. However, the nonlinear phase characteristics introduced by the IIR notch filters into the navigation receivers, may cause the distortion of navigation signals. It also leads to amplitude and phase distortion of the correlation peak in acquisition and loop tracking, which consequently brings on positioning errors in the measurement domain. This problem, however, has been ignored by many previous papers. Meanwhile, some other researchers came up with the idea of equalizers and all-pass networks compensating the distortion, which is also highly infeasible. Therefore, we propose a new method of an adaptive linear phase IIR notch filter with low hardware cost which is composed of three parts—the complex IIR notch filters, the IIR linear phase structure, and the adaptive and variable step-size algorithms. Applying this method, interference suppression and the correlation peak distortion compensation can be achieved with a modest increase hardware cost. This paper compares the performance of the new method with other IIR filters in both CWI and NBI scene and presents the effects of its parameters on the anti-jamming performance. Simulation results show that the proposed module has better anti-jamming performance in NBI scene and can compensate for the correlation peak distortion in the meantime.

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“…Some types of filters (for example Butterworth, Chebyshev, Elliptic …) with real coefficients can be realized using the allpass networks [5]. In the case when the order of filter with real coefficients N is odd this filter can be realized using two real allpass sections where their order differs for one (the allpass filter orders will be (N-1)/2 and (N+1)/2) [13,14,15,16].…”

Section: Introductionmentioning

confidence: 99%

Realization of Digital Filters With Complex Coefficients

2018

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A comprehensive analysis of realization of digital filters with complex coefficients obtained by decomposition of real digital filters, using complex and real allpass networks, is given in the paper. Realization of complex coefficient filters obtained directly in the z domain is also discussed in the paper. An analysis of hardware costs for different structures used for realization of complex coefficient filters is presented.

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Design of IIR Notch Filter with Approximately Linear Phase

Cited by 11 publications

References 6 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

A BDS Interference Suppression Technique Based on Linear Phase Adaptive IIR Notch Filters

Realization of Digital Filters With Complex Coefficients

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