![]() ![]() Lutovac, Design and VHDL description of multiplierless half-band IIR filter. Mitra, Symbolic sensitivity analysis of the new second-order IIR structure. Milić, Signal processor implementation of a low-pass/high-pass IIR digital filter with variable cut-off frequency. Constantinides, Spectral transformations for digital filters. As a result, we obtain a multiplierless IIR filter, which belongs to the family of low-power digital filters where multipliers are replaced with a small number of adders and shifters.Ī.C. ![]() We demonstrate how one can use some already-known multiplierless digital filter as a start-up filter to design a new digital filter whose passband edge frequency can be simply moved by using a single parameter. We present a step-by-step procedure which includes derivations of closed-form expressions for (1) the transfer functions of the implemented digital filter which contains the algebraic loop (2) the closed-form expression for computing the number of requested iteration steps and (3) the error function representing the difference of the output sample values of the new filter and that of the conventional filter. The main result of the paper is the development of an algorithm for an infinite impulse response (IIR) filter design that, theoretically, is impossible to be implemented using the traditional approach. In this paper, we introduce an original approach to algorithm development and digital filter design using a computer algebra system. The computer algebra systems successfully overcome some problems encountered in the traditional numeric-only approach. The drawback of the numeric-based tools is that they usually generate a tremendous amount of numeric data, and the user might easily lose insight into the phenomenon being investigated. Digital filter design can be performed very efficiently using modern computer tools. ![]()
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