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Constrained LS Design of 2D FIR Filters
M. Lang, I. Selesnick, and C.S. Burrus
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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