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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 design of 2-dimensional finite impulse response (2-D FIR) digital differentiator (DD) with quadrantally odd symmetric impulse response is presented. The L1-method is developed to design the 2-D system and minimize the L1-error. The design problem of 2-D FIR-DD is formulated as an optimization problem in order to compute the system coefficients with quadrantally odd symmetric properties...
In this paper, a new evolutionary optimization technique called flower pollination algorithm is employed to compute the optimal parameters of an unknown infinite impulse response (IIR) system. FPA is inspired by the pollination process of flowers. To achieve a balance between intensification and diversification phases, proper tuning of control parameter has been performed. The proposed FPA based method...
In this paper, an efficient design of a complimentary metal-oxide semiconductor (CMOS) inverter with symmetric switching characteristics is realized using a cuckoo search algorithm (CSA). CSA is an optimization algorithm which is inspired by the brood parasitic behaviour of cuckoos. The performance of the proposed CMOS inverter design using CSA is compared with particle swarm optimization algorithm...
In this paper, designing of fixed Riesz fractional order differentiator (RFOD) using discrete sine transform (DST) method has been presented. First, fractional order differentiator (FOD) has been designed using discrete sine transform. Then, the response of the FOD has been used to design a RFOD whose frequency response is the scaled even part of the conventional FOD. Design example is presented to...
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 paper, a novel L1-error approximation method for the design of finite impulse response (FIR) Hilbert transformer (HT) is introduced. The mathematical framework for the L1-method is explained for the design of HT and the problem of differentiability of L1-norm is exploited. The optimal coefficients for HT are computed using the proposed L1-method. The use of L1-approximation is advantageous...
This paper aims to design IIR digital differentiator by adopting a new heuristic algorithm called a gravitational search algorithm (GSA). In GSA, agents are treated as the masses and the force of attraction between agents is calculated based on Newton's gravitation law to find optimal solutions to the problem. The agent with greater mass is treated as the near optimal solution and their position is...
This paper presents the designs of matrix fractional order differentiator (MFOD) using transform based methods. Here, four transform methods are employed for MFOD design which includes discrete cosine transform (DCT), discrete sine transform (DST), discrete Fourier transform (DFT) and discrete Hartley transform (DHT) methods. The inefficiencies of conventional FIR and IIR MFOD design methods that...
In this paper a new heuristic algorithm called Gravitational Search Algorithm (GSA), is employed for the optimization of the filter coefficients of infinite impulse response (IIR) integrator design problem. GSA is a population based algorithm formulated on the principles of Newtonian gravity and law of motion. GSA employs the interaction of masses in an isolated system directed by law of Newtonian...
This paper presents an L1 optimization method for the design of Nth order finite impulse response (FIR), highpass (HP) and bandstop (BS) digital filters. For the calculation of optimal filter coefficients, L1 optimization criterion is adopted. It is seen that filters in L1 sense posses flat passband and stopband while retaining a transition band, which is comparable to existing filter design techniques...
A method of designing a fractional order digital FIR differentiator using Type-III Discrete Cosine Transform is put forward in this paper. The Grünwald-Letnikov definition of Fractional calculus is implemented to calculate the filter coefficients of fractional order differentiator. Then, different windows are applied to modify the filter response that improve the accuracy of the linear phase FIR filter...
In this paper, a Weighted Least Square based designing of fractional delay FIR filter using Genetic Algorithm is proposed. In this method, Genetic Algorithm is implemented to evaluate the closed form error function. This helps in speeding up the process of filter design and achieving globally optimized final solution. Three design examples are given to illustrate the results of proposed approach....
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