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Design of linear phase FIR filters with a maximally flat passband

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1 Author(s)
Hanna, M.T. ; Dept. of Electr. Eng., Bahrain Univ., Isa Town, Bahrain

The design of linear phase FIR digital filters having symmetric or antisymmetric impulse response is formulated as a constrained minimization problem. The constraints express the maximal flatness of the frequency response at the origin in the case of a low-pass filter or at an arbitrary frequency in the passband in the case of a bandpass filter. The objective function, which is a quadratic form in the filter coefficients, is formed as a convex combination of two objective functions representing the energy of the error between the frequency response of the designed filter and a scaled version of the frequency response of the ideal filter in both the stop and passbands

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Circuits and Systems II: Analog and Digital Signal Processing, IEEE Transactions on  (Volume:43 ,  Issue: 2 )