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Discretization-free method for designing variable fractional delay 2-D FIR filters

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2 Author(s)
Tian-Bo Deng ; Dept. of Inf. Sci., Toho Univ., Funabashi, Japan ; Wu-Sheng Lu

This paper proposes a closed-form weighted least-squares solution for designing variable two-dimensional (2D) digital filters with continuously variable 2D fractional delays. First, the coefficients of the variable 2D FIR filter are represented by using the polynomials of a pair of fractional delays (p1,p2). Then the weighted squared-error function of the variable 2D frequency response is derived without sampling the two frequencies (w1,w2) and the two fractional delays (p1 , p2), which leads to a significant reduction in computational complexity. With the assumption that the overall weighting function is separable and stepwise, the design problem is reduced to the minimization of the weighted squared-error function. Finally, the closed-form solutions for the optimal coefficient matrices of the variable 2D FIR filter are derived

Published in:

Wireless Communications, 2001. (SPAWC '01). 2001 IEEE Third Workshop on Signal Processing Advances in

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