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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...
This paper presents the design of a given quantum unitary gate by perturbing a three-dimensional (3-D) quantum harmonic oscillator with a time-varying but spatially constant electromagnetic field. The idea is based on expressing the radiation- perturbed Hamiltonian as the sum of the unperturbed Hamiltonian and O(e) and $$O({e}^2)$$ O ( e 2 ) perturbations and then solving the Schrödinger...
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