Abstract
Finite impulse response lowpass filters with prescribed number of zeros at /spl omega/=/spl pi/ and either prescribed group delay flatness or prescribed amplitude flatness and linear phase are designed by minimizing a squared error. A simple orthogonal projection of least squared error filters (that are often available in closed form) onto a linear subspace determined via Thiran filters (for group delay flatness) and via Herrmann filters (for amplitude flatness) gives the desired filters.
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