Abstract
The transversal filter structure was seen in Chapter 2 to be one form for implementing the desired Nth order linear prediction filter. Then in Chapter 5, the LMS adaptive filter algorithm was seen to be a natural candidate for implementing the transversal form for an adaptive linear prediction filter. However, in Chapter 3, an alternative structure denoted as the lattice formulation was seen to be a direct result of using Durbin’s method for solving the normal equations. To use the lattice filter for processing actual data required that the reflection coefficients, k p , 1 ≤ p ≤ N, be computed based upon estimates of the autocorrelation coefficients. These autocorrelation estimates were used in the very efficient Durbin’s algorithm for producing the k p . For additional review on the autocorrelation method of linear prediction and other fixed coefficient approaches, the reader is referred to the excellent article by Makhoul [1].
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© 1986 Springer-Verlag New York Inc.
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Alexander, S.T. (1986). Gradient Adaptive Lattice Methods. In: Adaptive Signal Processing. Texts and Monographs in Computer Science. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-4978-8_7
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DOI: https://doi.org/10.1007/978-1-4612-4978-8_7
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