2020
DOI: 10.1109/tcsii.2019.2936407
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DCD-Based Recursive Adaptive Algorithms Robust Against Impulsive Noise

Abstract: The dichotomous coordinate descent (DCD) algorithm has been successfully used for significant reduction in the complexity of recursive least squares (RLS) algorithms. In this work, we generalize the application of the DCD algorithm to RLS adaptive filtering in impulsive noise scenarios and derive a unified update formula. By employing different robust strategies against impulsive noise, we develop novel computationally efficient DCDbased robust recursive algorithms. Furthermore, to equip the proposed algorithm… Show more

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Cited by 31 publications
(15 citation statements)
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“…To generate û(n), the proposed algorithm demands 2L-point FFT, its inverse FFT, and 2L complex multiplications for (3), which leads to 8 log 2 (2L)+8 multiplications and 8 log 2 (2L) additions in total. In addition, QN multiplications and (Q − 1)N additions are required for ũi (n), and Q multiplications and (Q − 1) additions are required for ẽi,D (k).…”
Section: Tablementioning
confidence: 99%
“…To generate û(n), the proposed algorithm demands 2L-point FFT, its inverse FFT, and 2L complex multiplications for (3), which leads to 8 log 2 (2L)+8 multiplications and 8 log 2 (2L) additions in total. In addition, QN multiplications and (Q − 1)N additions are required for ũi (n), and Q multiplications and (Q − 1) additions are required for ẽi,D (k).…”
Section: Tablementioning
confidence: 99%
“…In the second example, the uniform noise and impulsive noise are used as the noise signal, and in the third example, the exponential and impulsive noises are employed as the noise signal. The impulsive noise is generated by Bernoulli-Gaussian (BG) distribution, which contains a Bernoulli process and Gaussian process [11], [62] ζ (k) = B e (k)G a (k) (38) where B e denotes a Bernoulli process with the probability P r , which can be defined by P(B e ) = 1 − P r with B e = 0, and P(B e ) = P r with B e = 1, and G a (k) stands for a white Gaussian process with zero mean and variance σ 2 ζ . To qualify the identification performance of the algorithm, both excess MSE (EMSE) and normalized MSD (NMSD) are adopted in the simulations, which can be respectively defined as EMSE, db = 10log 10 e 2 a (k)…”
Section: Simulationsmentioning
confidence: 99%
“…Adaptive filtering is famous for its numerous practical applications, such as system identification, acoustic echo cancellation, channel equalization, and signal denoising [1][2][3][4][5]. Due to easy complementation and low computational complexity, the least mean square (LMS) algorithm and the normalized least mean square (NLMS) algorithm become distinguished.…”
Section: Introductionmentioning
confidence: 99%