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In this paper, the design of 1-dimensional (1-D) finite impulse response (FIR) notch filters is achieved constraint to fractional order derivatives. In order to actualize the ideal frequency response, fractional derivative constraints are imposed such that there is no deviation in fractional derivative of designed frequency response at prescribed frequency points. The divergence in designed frequency...
In this paper, the fractional derivative constraints are used for the designing of 2-dimensional (2-D) linear phase highpass (HP) and bandstop (BS) finite impulse response (FIR) filter. First, the quadrantally even symmetric impulse response filter is considered. Then, the fractional derivative constraints are imposed on integral square error at some frequency points such that the fractional derivative...
In this article, an optimal design of two-dimensional finite impulse response (2D FIR) filter with quadrantally even symmetric impulse response using fractional derivative constraints (FDCs) is presented. Firstly, design problem of 2D FIR filter is formulated as an optimization problem. Then, FDCs are imposed over the integral absolute error for designing of the quadrantally even symmetric impulse...
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