Two-dimensional signal and image processing
Two-dimensional signal and image processing
Two-Dimensional Digital Filters
Two-Dimensional Digital Filters
Two-dimensional digital filters with sparse coefficients
Multidimensional Systems and Signal Processing
A fast matrix iterative technique for the WLS design of 2-D quadrantally symmetic FIR filters
Multidimensional Systems and Signal Processing
Weighted least mean square design of 2-D FIR digital filters
IEEE Transactions on Signal Processing
Three different criteria for the design of two-dimensional zerophase FIR digital filters
IEEE Transactions on Signal Processing
Weighted least mean square design of 2-D FIR digital filters: thegeneral case
IEEE Transactions on Signal Processing
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The impulse response coefficients of a two-dimensional (2-D) finite impulse response (FIR) filter naturally constitute a matrix. It has been shown by several researchers that, two-dimension (2-D) based algorithms that retain the natural matrix form of the 2-D filter's coefficients are computationally much more efficient than the conventional one-dimension (1-D) based algorithms that rearrange the coefficient matrix into a vector. In this paper, two 2-D based algorithms are presented for the weighted least squares (WLS) design of quadrantally symmetric 2-D FIR filters with arbitrary weighting functions. Both algorithms are based on matrix iterative techniques with guaranteed convergence, and they solve the WLS design problems accurately and efficiently. The convergence rate, solution accuracy and design time of these proposed algorithms are demonstrated and compared with existing algorithms through two design examples.