Abstract
The most widely used digital filters are finite impulse response (FIR) filters that are usually implemented with the transversal structures. For FIR filter, the output signal is a linear combination of filter coefficients that produces a quadratic function (mean-square-error) with a distinctive optimal operation point. FIR filter alternatively be realized for obtaining improvements in comparison of transversal filter structure for speed of convergence, computational complexity and finite word length properties. IIR filtering techniques exhibit reliable alternative for traditional FIR filtering. The principal advantage of IIR filters is lesser parameterization to achieve at par performance of FIR filters. In addition, the pole-zero structures ease their modeling in physical systems. On the other hand, the tradeoff for the attributes have few drawbacks inherent to IIR filtering with recursive structure such as filter stability, convergence to bias and/or local minima and for very slow convergence. This research paper proposes a new structure and realization of IIR filter. Special consideration is given to the issue of optimal state-space realization and newpole modulus based stability is derived.
Highlights
The digital filter design is well-studied field (Chaohua modulus (Hinamoto et al, 2002; Yamaki et al, 2006) is et al, 2010; Konopacki & Moscinska, 2010)
A number of different been used to prove that the stability performance of the structures (Zixue Zhaoand & Gang Li, 2006) may be used proposed ρ-realization matches with the optimal for realization of digital filters which have equivalent parameterized realization
Realization for digital filter design has been the active The system can be implementable with following stateresearch area from last two decades, where optimality space equations: criteria depends on minimizing the sensitivity measure of digital design or rounding off noise gain (Zhao, 2005; Li et al, 2010), in all this optimality analysis stability is rarely investigated
Summary
The digital filter design is well-studied field (Chaohua modulus (Hinamoto et al, 2002; Yamaki et al, 2006) is et al, 2010; Konopacki & Moscinska, 2010). In this paper a sparse realization is Finite world length error is most acute problem in derived based on polynomial operator (Hao, 2005) which implementation of digital design Structural design, the implementation efficiency and can be optimized for finite second stage of digital design, need to investigate for word length effect reduction.
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