WLS Optimal Design of Variable Fractional Delay FIR Filters

Wu Chun · Microcomputer Information · 2009

A spectral parameterization method with discretization parameters will meet a tradeoff between the design accuracy and computational effort when designing a variable digital filter. Thus, a continuous spectral parameterization method is presented for obtaining the WLS optimal coefficients of variable fractional delay filters. Separated nonnegative weighting function and some characters of matrix and matrix operations are applied to derive a closed-form solution, and Cholesky factorization is taken to avoid the numerical problem when computing the inverses of a matrix. Its high satiability and considerably reduced computational complexity of the proposed algorithm are experimentally verified .The given FIR filters can found their applications in high accuracy dynamic time compensation.

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