Ten lectures on wavelets
Adaptive filter theory (2nd ed.)
Adaptive filter theory (2nd ed.)
Region-Based Wavelet-Packet Adaptive Algorithm for Sparse Response Identification
ICISP '08 Proceedings of the 3rd international conference on Image and Signal Processing
Fast coupled adaptation for sparse impulse responses using a partial haar transform
IEEE Transactions on Signal Processing
Proportionate adaptive algorithms for network echo cancellation
IEEE Transactions on Signal Processing
Rapid identification of a sparse impulse response using an adaptive algorithm in the Haar domain
IEEE Transactions on Signal Processing
IEEE Transactions on Signal Processing
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This paper proposes an implementation for identifying sparse impulse responses. The new scheme follows the approach in which the location of the channel response peak is estimated in the wavelet domain. A short time-domain adaptive filter is then located about the estimated peak to identify the sparse response. The primary purpose of this paper is to present an efficient design of such a system. The use of a new block wavelet transform results in up to 70% less computational complexity and improved peak detection, as compared to previous solutions. A new robust time-domain adaptive filtering location and update scheme is also proposed that significantly reduces the occurrence of jitter problems and leads to improved residual mean-square error performance. The behavior of the transform-domain adaptive filter is analyzed, the Wiener solution is determined, and an accurate analytical model is obtained for the mean-square deviation of the adaptive coefficients. Monte Carlo simulations show excellent echo cancellation performance for typical ITU-T echo channels.