A complex adaptive notch filter using modified gradient algorithm

Nosan, A.; Punchalard, R.

doi:10.1016/j.sigpro.2011.12.011

Cited by 15 publications

(9 citation statements)

References 27 publications

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“…Table 1 shows the computational complexities of the proposed algorithm and of four conventional methods [14,16,17,19]. Note that the complexity of the proposed algorithm is comparable to that of LMS-based methods and lower than that of NLMS-based and RLS-based algorithms.…”

Section: Filter Structure and Adaptive Algorithmmentioning

confidence: 99%

“…In the following two simulations, the proposed algorithm is compared with four conventional algorithms [14,16,17,19] under two different kinds of inputs, namely a fixed frequency input and a quadratic chirp input. The input signal takes the form x(n) = e j(ϕ(n)+θ 0 ) + v(n), where ϕ(n) is the instantaneous phase.…”

Section: Performance Comparisonsmentioning

confidence: 99%

“…The complex ANF (CANF) has recently gained much attention [13][14][15][16][17][18][19][20]. A direct-form poles and zeros constrained CANF was first developed in [13] with a modified GaussNewton algorithm.…”

Section: Introductionmentioning

confidence: 99%

“…To address this problem, numerous efficient and unbiased least mean square (LMS)-based algorithms have been developed, such as the complex plain gradient (CPG) [15], modified CPG (MCPG) [16], lattice-form CANF (LCANF) [17], and arctangent-based algorithms [18]. However, all these LMS-based algorithms generate a lower convergence rate than the RLS-based algorithms do.…”

Section: Introductionmentioning

confidence: 99%

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A gradient-adaptive lattice-based complex adaptive notch filter

Zhu

Yang

2016

EURASIP J. Adv. Signal Process.

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This paper presents a new complex adaptive notch filter to estimate and track the frequency of a complex sinusoidal signal. The gradient-adaptive lattice structure instead of the traditional gradient one is adopted to accelerate the convergence rate. It is proved that the proposed algorithm results in unbiased estimations by using the ordinary differential equation approach. The closed-form expressions for the steady-state mean square error and the upper bound of step size are also derived. Simulations are conducted to validate the theoretical analysis and demonstrate that the proposed method generates considerably better convergence rates and tracking properties than existing methods, particularly in low signal-to-noise ratio environments.

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Section: Filter Structure and Adaptive Algorithmmentioning

confidence: 99%

Section: Performance Comparisonsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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A gradient-adaptive lattice-based complex adaptive notch filter

Zhu

Yang

2016

EURASIP J. Adv. Signal Process.

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“…Although the spread-spectrum processing gains vary from 30 to 40 dB, high interference signal ratio (ISR) interference with still cause significant positioning errors or paralysis on BDS receivers. Generally, there are several approaches to mitigate the interferences: time domain [ 1 , 2 , 3 , 4 ], frequency domain [ 5 , 6 , 7 ] and space domain [ 8 , 9 , 10 ].…”

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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Linear prediction based adaptive algorithm for a complex sinusoidal frequency estimation

Punchalard

Wardkein

2013

AEU - International Journal of Electronics and Communications

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A complex adaptive notch filter using modified gradient algorithm

Cited by 15 publications

References 27 publications

A gradient-adaptive lattice-based complex adaptive notch filter

A gradient-adaptive lattice-based complex adaptive notch filter

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

Linear prediction based adaptive algorithm for a complex sinusoidal frequency estimation

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