A singular value decomposition derivation in the discrete frequency domain of optimal noncentro-symmetric 2-D FIR filters
نویسنده
چکیده
A new derivation is presented for the least squares solution of the design problem of 2-D FIR filters by minimizing the Frobenius norm of the difference between the matrices of the ideal and actual frequency responses sampled at the points of a frequency grid. The mathematical approach is based on the singular value decomposition of two complex transformation matrices. Interestingly, the designed filter is proved to be zero-phase if the ideal filter is so without assuming any kind of symmetry.
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ورودعنوان ژورنال:
- IEEE Trans. Signal Processing
دوره 46 شماره
صفحات -
تاریخ انتشار 1998