Abstract
This paper investigates the least <tex xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">$l_{p}$</tex> -norm design of two-dimensional (2-D) FIR filters. We first formulate this design as an optimization problem which includes two matrix variables. Then, a bi-matrix-based iterative reweighted least squares (IRLS) algorithm is proposed to solve the problem. The algorithm converts the original problem into a series of weighted least squares (WLS) subproblems and then solves each of them using an efficient bi-matrix-based WLS algorithm. By retaining the natural coefficient matrix form and using appropriate initial points in the bi-matrix-based WLS algorithm, considerable design time is saved. The proposed method exhibits the lower complexity and higher numerical stability compared with existing methods. A design example is provided to illustrate the high computational efficiency and design precision of the proposed method.
Published Version
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