Abstract
In this paper we propose a least mean p-th adaptive notch filter that has a cost function of E[ep(n)], where e(n) is the estimation error. The structure of the adaptive filter is a tandem connection of the second-order adaptive notch filter with an all-pass filter. In general, the bandwidth of the notch filter should be extremely small from the theoretical and practical viewpoints. However, the convergence speed of the weight becomes slow if the bandwidth is reduced. The transfer function of the notch filter has the following special characteristic, that is, zero in the center frequency and unity in other frequencies. The equivalent broad bandwidth can be obtained when the cost function is chosen as E[ep(n)]. Higher convergence speed and excellent stationary performance are obtained using the combination of E[ep(n)]. Finally, the convergence performance of the estimation accuracy is verified by the computer simulation. © 2004 Wiley Periodicals, Inc. Electr Eng Jpn, 150(3): 46–53, 2005; Published online in Wiley InterScience (www.interscience.wiley.com). DOI 10.1002/eej.20045
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