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In this paper, the design of digital FIR filter is investigated. First, filter design problem is described by considering various requirements except frequency response error. Then, the constrained L1 minimization method in compressed sensing is applied to design FIR filter. As a result, dynamic range of filter coefficients, upper bound of filtering output, sparsity of filter coefficients, and error...
In this paper, the radial basis function (RBF) interpolation method is used to design fractional delay FIR filter. As a result, the design error can be reduced by suitably choosing the shape parameter of radial basis function. Design examples are demonstrated to show that the proposed RBF-based method has a smaller design error than those of the conventional Lagrange and window fractional delay FIR...
In this paper, the design of fractional delay FIR filter is investigated. First, the interpolation formula of discrete-time sequence is derived by using discrete cosine transform (DCT). Then, the DCT-based interpolation formula is applied to design fractional delay FIR filter by using suitable index mapping. The filter coefficients are easily computed because closed-form design is obtained. Next,...
In this paper, the design of second order differentiator is investigated. First, the backward difference formula in numerical differentiation is applied to derive the transfer function of second order differentiator. Then, the Richardson extrapolation is used to generate high-accuracy results while using low- order formulas. Next, conventional Lagrange FIR fractional delay filter is directly applied...
In this paper, the design of fractional delay FIR filter is investigated. First, the interpolation formula of a discrete-time sequence is derived by using discrete Fourier transform (DFT). Then, the DFT-based interpolation formula is applied to design fractional delay FIR filter by using suitable index mapping. The filter coefficients are easily computed because a closed-form design is obtained. Finally,...
In this paper, a new design of digital integrator is investigated. First, the trapezoidal integration rule and differential equation are applied to derive the transfer function of the digital integrator. The Richardson extrapolation is then used to generate high-accuracy results while using low-order formulas. Next, the conventional Lagrange finite-impulse response fractional delay filter is directly...
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