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• W808377 abstract "Adaptive filters [60] play an important role in echo cancellation because we need to identify and track unknown and time-varying channels [24J . There are roughly two classes of adaptive algorithms. One class includes filters that are updated in the time domain, sample-by-sample in general, like the classical least mean square (LMS) [134] and recursive least-squares (RLS) [4], [66] algorithms. The other class contains filters that are updated in the frequency domain, block-by-block in general, using the fast Fourier transform (FFT) as an intermediary step. As a result of this block processing, the arithmetic complexity of the algorithms in the latter category is significantly reduced compared to time-domain adaptive algorithms. Use of the FFT is appropriate to the Toeplitz structure, which results from the time-shift properties of the filter input signal. Consequently, deriving a frequency-domain (FD) adaptive algorithm is just a matter of rewriting the time-domain error criterion in a way that Toeplitz and circulant matrices are explicitly shown." @default.
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• W808377 date "2001-01-01" @default.
• W808377 modified "2023-09-25" @default.
• W808377 title "General Derivation of Frequency-Domain Adaptive Filtering" @default.
• W808377 doi "https://doi.org/10.1007/978-3-662-04437-7_8" @default.
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