Another FIR lattice structure

Roy, S. C. Dutta; Vishwanath, R.

doi:10.1002/cta.317

Cited by 6 publications

(4 citation statements)

References 4 publications

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“…Such a pair of complementary transfer functions is useful in crossover networks as well as in multi-rate signal processing. Following the same two-pair approach, it was found that the required t parameters are given by (Dutta Roy & Vishwanath 2005)…”

Section: Derivation Of Another Latticementioning

confidence: 99%

Some recent work on lattice structures for digital signal processing

Roy

2014

Sadhana

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This paper is concerned with a review of some recent work on derivation and synthesis of lattice structures for digital signal processing (DSP). In particular, synthesis of canonical structures for both finite impulse response (FIR) and infinite impulse response (IIR) transfer functions is presented in detail. This has been an outstanding problem in DSP, and I demonstrate here how the solution came through very simple ideas and reasoning. Besides a consolidation of results published earlier in various papers, some new results containing refinements and simplifications in the synthesis procedures have also been presented.

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Section: Derivation Of Another Latticementioning

confidence: 99%

Some recent work on lattice structures for digital signal processing

Roy

2014

Sadhana

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“…Filter banks are often realized as FIR or Chebyshev filters. However, in this case an extremely high filter order is necessary [6][7][8][9]. The transfer functions in the formulae (1) are written in the form of rational functions under the assumption that the order n of the filter is an odd number.…”

Section: H L (S) =mentioning

confidence: 99%

Analog filter pair design on the basis of a gyrator–capacitor prototype circuit

Handkiewicz

Katarzyński

Szczęsny

et al. 2010

Circuit Theory & Apps

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SUMMARYThe paper presents an algorithmic approach to a low-sensitivity design strategy for analog filter pairs based on a gyrator-capacitor prototype circuit. The general structure of the prototype circuit is proposed. It assumed that the generic structure of the prototype circuit can evolve, with the use of additional gyrators, into a circuit with increased redundancy. It is shown that symbolic analysis of the prototype circuit, used to formulate a set of nonlinear algebraic equations, is necessary to achieve a sufficiently high algorithm operation speed. To find a solution to this specific system of nonlinear algebraic equations, different numerical methods are compared. The modified Hooke and Jeeves algorithm is found to be the most effective. The elaborated algorithms and programs are illustrated with the seventh-order filter pair example. The obtained filter is better than the filter obtained using LC ladder structures with respect to chip area and power consumption, and these improvements are obtained without loss of sensitivity properties.

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“…In a subsequent paper [5], this question was answered in the affirmative by deriving a new lattice structure for satisfying the relationship Equation (8) implies that Hj(z) and Gj(z) are complementary filters, i.e. if H,(z) is low-pass, then G;(z) is high-pass and vice versa.…”

Section: Introductionmentioning

confidence: 96%

“…The present paper is a generalization of [5], in which HJz) and GJz) are two arbitrary transfer functions, given by 13 (1) Note that HN(z) and GN(z) have the same magnitude but equal and opposite phase on Iz I= 1. Hence for designing a single digital filter with prescribed magnitude specifications, it is wasteful in multipliers, requiring double the number as compared to canonic realization.…”

Section: Introductionmentioning

confidence: 99%

A New Canonic Lattice Realization of Arbitrary FIR Transfer Functions

Roy¹

2007

IETE Journal of Research

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A new lattice structure is presented for realizing a pair of arbitrary FIR transfer functions of the same order, which is canonic in multipliers as well as delays. By a simple modification of the procedure, one can also obtain a canonic realization of a single FIR transfer function. The problem cases have been discussed, along with their solutions, and the limItations of the method have been pointed out. Examples have been worked out to illustrate the theory.

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Another FIR lattice structure

Cited by 6 publications

References 4 publications

Some recent work on lattice structures for digital signal processing

Some recent work on lattice structures for digital signal processing

Analog filter pair design on the basis of a gyrator–capacitor prototype circuit

A New Canonic Lattice Realization of Arbitrary FIR Transfer Functions

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