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Unbiased plain gradient algorithm for a second-order adaptive IIR notch filter with constrained poles and zeros
(2010-08-01)
Loetwassana, W.
;
Punchalard, R.
;
Koseeyaporn, J.
;
Wardkein, P.
This article proposes an unbiased plain gradient algorithm for a second-order adaptive IIR notch filter with constrained poles and zeros. The proposed algorithm employs removing a dominant parameter that produces inherent bias. By using this technique, the performances are improved with slight expense in computational complexity. In this paper, theoretical analysis for deriving the estimations of bias and mean square error (MSE) at steady state are presented in closed form. Moreover, the stability bound of the algorithm is also derived. To confirm the analytical results, the computer simulations are provided to corroborate the effectiveness of the proposed algorithm. Furthermore, the performances of the algorithm are also compared with the plain gradient (PG) and modified plain gradient (MPG) algorithms. © 2010 Elsevier B.V. All rights reserved.
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Statistical performance of the direct frequency estimation algorithm for the adaptive FIR notch filter
(2010-07-30)
Silaphan, V.
;
Punchalard, R.
;
Loetwassana, W.
;
Koseeyaporn, J.
;
Wardkein, P.
The Mean square error (MSE) of direct frequency estimation algorithm (DFE) for the adaptive FIR notch filter is presented in this paper. The developed analysis technique is capable of tracking the simulations very well in the steady state. The proposed method is based on the merging between the analysis technique for linear predictor and the second-order adaptive FIR notch filter. Computer simulations have been treated to corroborate with the theoretical analysis.
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Statistical analysis of an unbiased plain gradient algorithm for a constrained adaptive HR notch filter
(2008-12-01)
Punchalard, R.
;
Loetwassana, W.
;
Koseeyaporn, J.
;
Wardkein, P.
Theoretical analysis of the unbiased plain gradient (UPG) algorithm for a constrained adaptive HR notch Alter (ANF) is presented in this paper. The difference equations for the convergence to the mean of the estimated parameter, estimation bias, and stability bound are derived. It is shown that the UPG provides bias smaller that that of the PG. Computer simulations have been treated to corroborate the theoretical analysis. © 2008 IEICE.
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Direct frequency estimation based adaptive algorithm for a second-order adaptive FIR notch filter
(2008-02-01)
Punchalard, R.
;
Lorsawatsiri, A.
;
Loetwassana, W.
;
Koseeyaporn, J.
;
Wardkein, P.
This work deals with the problem of the frequency estimation of a sinusoidal signal corrupted by broad-band noise. The direct frequency estimation based adaptive algorithm for a second-order adaptive finite impulse response (FIR) notch filter (AFNF) is thus proposed. The proposed algorithm employs the bias removal technique to remove the bias existing in the estimated parameter. The performances including the rate of convergence and the mean square error (MSE) can be easily controlled by using only one parameter, i.e., step size parameter. Moreover, the proposed filter is simple to implement and suitable for real-time applications. In addition, the difference equations for the convergence in the mean and mean square, and the closed form expressions for the steady-state estimation bias and MSE are also carried out. Finally, the simulation results are provided to confirm the theoretical analysis. © 2007 Elsevier B.V. All rights reserved.
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Unbiased equation error adaptive IIR notch filter
(2007-12-01)
Punchalard, R.
;
Lorsawatsiri, A.
;
Loetwassana, W.
;
Koseeyaporn, J.
;
Wardkein, P.
This paper presents the unbiased gradient algorithm for the equation error adaptive IIR notch filter (UEANF). The proposed algorithm employs the bias removal technique to remove the bias existing in the estimated parameter, resulting in obtaining good estimate of the parameter. Moreover, the convergence property is improved as compared with the conventional adaptive IIR notch filter (ANF). The computer simulations are provided to confirm the performances of the proposed technique. ©2007 IEEE.
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Unbiased plain gradient algorithm for adaptive IIR notch filter with constrained poles and zeros
(2007-12-01)
Punchalard, R.
;
Lorsawatsiri, A.
;
Loetwassana, W.
;
Koseeyaporn, J.
;
Wardkein, P.
An unbiased plain gradient (UPG) algorithm for a constrained adaptive IIR notch filter (ANF) is presented in this paper. The proposed algorithm employs the bias removal technique to remove the bias existing in the estimate of the filter parameter, resulting in good estimation. The computer simulation results have shown that the proposed technique is unbiased. ©2007 IEEE.
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Steady-state analysis of an unbiased equation error adaptive IIR notch filter
(2007-12-01)
Punchalard, R.
;
Lorsawatsiri, A.
;
Loetwassana, W.
;
Koseeyaporn, J.
;
Wardkein, P.
This paper presents the steady-state analysis of the unbiased equation error adaptive IIR notch filter (UEANF). The difference equation for the convergence in the mean and the steady-state estimation bias is derived in closed forms. In addition, the simulation results are provided to confirm the theoretical analysis. Finally, the comparisons among the UEANF, the equation error adaptive IIR notch filter (EANF) and the output error adaptive IIR notch filter (ANF) based on theory as well as simulations have shown that the UEANF outperforms the ANF in its convergence rate and it provides unbiased estimate of the desired parameter as compared with the EANF and the ANF as well. ©2007 IEEE.
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Adaptive howling suppressor in an audio amplifier system
(2007-12-01)
Loetwassana, W.
;
Punchalard, R.
;
Lorsawatsiri, A.
;
Koseeyaporn, J.
;
Wardkein, P.
The acoustic feedback causes a howling phenomenon in an audio amplifier system. This problem does not only annoy hearing but also can damage an amplifier system. The IIR adaptive howling suppressor (AHS) in an audio amplifier system is thus proposed in this paper. The algorithm of adaptive process is achieved by using the variable momentum least mean square (VMLMS). With this algorithm, the performance improvement and higher convergence rate can be success. The proposed AHS, which is placed between a preamplifier section and a power amplifier section, acts as a narrow bandwidth notch filter whose frequency characteristic can reduce a howling spectrum. The simulation results show good improvement in the howling suppression of the proposed AHS system. Moreover, the performance comparisons show that the proposed system is performed over the AHS conventional FIR and FALE structures at the same environment condition. ©2007 IEEE.
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Unbiased constrained adaptive IIR notch filter using direct frequency estimation algorithm
(2007-12-01)
Punchalard, R.
;
Lorsawatsiri, A.
;
Loetwassana, W.
;
Koseeyaporn, J.
;
Wardkein, P.
An unbiased constrained direct adaptive IIR notch filter is presented in this paper. The proposed algorithm employs the bias removal technique to remove the bias existing in the estimate of the filter parameter, resulting in good estimate of filter parameter. The theoretical analysis for the difference equation for the convergence in the mean is derived in closed form and confirmed by the computer simulations. ©2007 IEEE.

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