Analysis of limit cycles in the direct form delta operator structure by computer-aided test

Kauraniemi, J.

doi:10.1109/icassp.1997.599480

Cited by 2 publications

(9 citation statements)

References 6 publications

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“…Simulation-based techniques perform exhaustive evaluations of all the possible sets of values of the state variables [8,118,74,90,92,19]. They provide precise results, but they require exceedingly long computation times [8,118,74]. Consequently, this type of technique allows automated analysis of LCs in generic filter structures, but requires a bounding stage to perform these computations in realistic computation times.…”

Section: Analysis Of Limit Cycles In Digital Filtersmentioning

confidence: 99%

“…Existing simulation-based LC detection procedures perform the computation in two stages [8,118,74]: (i) they compute the bounds of the maximum amplitude and frequency of the LCs; and (ii) they perform exhaustive search for LCs among all the possible combinations of values of the state variables (SVs) contained within these bounds. Since the SVs have a finite number of bits, the number of possible combinations of values of the SVs is also finite, i.e., n st = ∏ i (2 q i ), i = 1, .…”

Section: Simulation-based Lc Detection Proceduresmentioning

confidence: 99%

“…Consequently, the aim of the first step is to reduce the number of combinations to be tested for LCs. This reduction is obtained by limiting the maximum values of the SVs, M, or the maximum period of oscillation, T max [118,74]. The expressions of M and T max are difficult to obtain, and they are dependent on the filter structure.…”

Section: Simulation-based Lc Detection Proceduresmentioning

confidence: 99%

“…The expressions of M and T max are difficult to obtain, and they are dependent on the filter structure. The interested reader is referred to [118] for the expressions of these parameters in SSR filters, and to [74] for their expressions in second-order DFIIt forms with delta operators.…”

Section: Simulation-based Lc Detection Proceduresmentioning

confidence: 99%

“…The exhaustive search is performed by evolving the values of the SVs. In each iteration, four possible cases may occur [74]: (i) The state vector is repeated, which means that a LC is found. (ii) The state converge to a point that produces zero output.…”

Section: Simulation-based Lc Detection Proceduresmentioning

confidence: 99%

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Analysis of Finite Word-Length Effects in Fixed-Point Systems

Ménard

Caffarena

López

et al. 2018

Handbook of Signal Processing Systems

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Systems based on fixed-point arithmetic, when carefully designed, seem to behave as their infinite precision analogues. Most often, however, this is only a macroscopic impression: finite word-lengths inevitably approximate the reference behavior introducing quantization errors, and confine the macroscopic correspondence to a restricted range of input values. Understanding these differences is crucial to design optimized fixed-point implementations that will behave "as expected" upon deployment. Thus, in this chapter, we survey the main approaches proposed in literature to model the impact of finite precision in fixed-point systems. In particular, we focus on the rounding errors introduced after reducing the number of least-significant bits in signals and coefficients during the so-called quantization process.

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Section: Analysis Of Limit Cycles In Digital Filtersmentioning

confidence: 99%

Section: Simulation-based Lc Detection Proceduresmentioning

confidence: 99%

Section: Simulation-based Lc Detection Proceduresmentioning

confidence: 99%

Section: Simulation-based Lc Detection Proceduresmentioning

confidence: 99%

Section: Simulation-based Lc Detection Proceduresmentioning

confidence: 99%

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Analysis of Finite Word-Length Effects in Fixed-Point Systems

Ménard

Caffarena

López

et al. 2018

Handbook of Signal Processing Systems

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Evaluación de los efectos de cuantificación en las estructuras de filtros digitales mediante técnicas de simulación basadas en extensiones de intervalos.

Martin¹

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1. Introducción 1 1.1. Motivación 3 1.2. Principales aportaciones de la Tesis Doctoral 6 1.3. Estructura del documento 8 2. Antecedentes y estado actual del tema 11 2.1. Introducción 13 2.1.1. Técnicas de descripción 14 2.2. Efectos de cuantificación 20 2.2.1. Cuantificación de los coeficientes 21 2.2.2. Cuantificación de las señales 24 5. Conclusiones y líneas futuras 137 5.1. Conclusiones 139 5.2. Líneas futuras 146 A. Conceptos básicos sobre las estructuras de filtros digitales 149 A.l. Obtención de las descripciones SVD y FSVD 151 A.2. Expresiones básicas con SVD y FSVD 155 A.3. Expresiones básicas sobre cuantificación 160 A.4. Cálculo del ruido de redondeo 164 B. Descripción y utilización de las herramientas de .4¿ac0 169 B.l. Descripción de las herramientas 171 B.2. Ejemplos de utilización 194 Referencias 209

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Analysis of limit cycles in the direct form delta operator structure by computer-aided test

Cited by 2 publications

References 6 publications

Analysis of Finite Word-Length Effects in Fixed-Point Systems

Analysis of Finite Word-Length Effects in Fixed-Point Systems

Evaluación de los efectos de cuantificación en las estructuras de filtros digitales mediante técnicas de simulación basadas en extensiones de intervalos.

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