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In this paper, a novel method to design FIR filters of required frequency response and order is proposed. Nature-inspired optimization algorithms have been used to optimize the filter coefficients so that the frequency response of the FIR filter mimics the frequency response of the ideal one. The Bat Algorithm (BA) has been used to implement the design of Generalized Fractional Order Differentiators...
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...
This paper presents the performance analysis of unitary quantum gate in presence of noise, using the time dependent Schrödinger dynamics of system Hamiltonian. The perturbed Hamiltonian is expressed as the sum of unperturbed Hamiltonian and perturbation of any real valued controllable function. The basic idea is to maintain the unitarity for corresponding time evolutionary system after time T and...
This paper deals with the application of lattice wave digital filter (LWDF) (3rd and 5th order) for obtaining an efficient design of a Fractional Delay Filter (FDF). The Real Coded Genetic algorithm (RCGA) and Cuckoo Search Algorithm (CSA) have been used in order to determine the optimal coefficient values of LWDF in order to meet the ideal frequency response characteristics. The simulation of FDF...
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...
For the efficient filter implementation reconfigurability and low power have always been the main concerns. This paper introduces two new low power and high speed reconfigurable parametric equalizer designs. These designs are based on the row bypassing multipliers which are implemented using carry save adder (CSA) and ripple carry adder (RCA). The primary power reduction is procured by turning off...
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...
This paper proposes a novel methodology for design and multiplierless implementation of fractional order integrator (FOI) based on lattice wave digital filter using gravitational search algorithm (GSA). The FOI design problem is formulated as an optimization problem using the transfer function of lattice wave digital filter (LWDF). The realization of FOI using LWDF structure increases the accuracy...
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...
Reconfigurability and low power have always been the main concern for the efficient filter implementation. This paper introduces two new low power and high speed reconfigurable Hilbert transformer designs. These designs are based on the carry save adder (CSA) and ripple carry adder (RCA) based row bypassing multipliers. The primary power reduction is procured by turning off adders when the multiplier...
The minimum hardware and low power dissipation are the main concern for efficient filter implementation. A method to design and implement the comb lattice wave digital filter with only one multiplier, small area and low power dissipation is proposed. Lattice wave digital filter is used for filter realization due to its excellent properties. A design level area optimization is done by converting constant...
The wave digital equivalent of passive elements using wave theory and bilinear transform is formulated in yesteryear, but the bilinear transform produces large distortion in the mid and high frequency range. In this paper, a novel wave digital equivalents of analog passive elements are developed. Instead of bilinear transform, two different transforms are used for analog to digital (A/D) conversion...
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...
The minimum hardware and low power dissipation have always been the main concern for the efficient filter implementation. In this paper, an efficient way of implementing the lattice wave digital filter (LWDF) structure of the quadrature mirror filter (QMF) with canonic signed digit (CSD) coefficients is proposed. Further, the proposed structure is implemented using carry save adders rather than slow...
The minimum hardware and low power dissipation have always been the main concern for the efficient filter implementation. In this paper, an effective way of implementing the lattice wave digital structure of the Hilbert transformer with canonic signed digit code (CSDC) coefficients is proposed. Further, the proposed structure is implemented using carry save adders rather than slow ripple carry adders...
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...
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