A Design of Fir Filters with Variable Notches Considering Reduction Method of Polynomial Coefficients for Real-time Signal Processing
نویسندگان
چکیده
In this paper, we propose a design method for finite impulse response (FIR) variable digital filters (VDFs) obtaining equiripple characteristic, even if notch frequencies change. The changes in filter coefficients for changes in notch frequencies are approximated by polynomials using variable parameters. In this method, the minimization problem for the polynomial coefficients with variable notches is formulated as semidefinite programming (SDP) in the frequency domain. As these variable parameters are varied continuous for defined ranges, the amplitude response of the proposed VDF continuously changes. On the other hand, the number of polynomial coefficients increases when variable parameters are a plural number or high order. Therefore, we also propose a method for reducing the number of polynomial coefficients. In addition, we present that the proposed VDF can be implemented using the Farrow structure, which is suitable for real-time signal processing. The usefulness of the proposed VDF is demonstrated through examples.
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