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  • Constrained LS Design of 2D FIR Filters

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    >Z< Constrained LS Design of 2D FIR Filters M. Lang, I. Selesnick, and C.S. Burrus
    We consider the design of two-dimensional (2D) linear phase (LP) finite impulse response (FIR) filters according to the least squares (LS) error criterion subject to additional equality and/or inequality constraints. Since we use a frequency domain formulation these constraints can be used to explicitly prescribe (frequency dependent) error tolerances, the maximum, minimum or fixed values of the frequency response at certain points and/or regions. Our method combines Lagrangian multiplier and Kuhn Tucker theory to solve a much wider class of problems than do standard methods. It allows arbitrary compromises between the LS and the equiripple design and contains both of them as special cases.

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    Don Johnson 9/19/95