Stability of Second Order Time-Varying Constrained Notch Filters

D. Wulich; E. I. Plotkin; M. N.S. Swamy

doi:10.1049/el:19900968

Stability of Second Order Time-Varying Constrained Notch Filters

D. Wulich, E. I. Plotkin, M. N.S. Swamy

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

Abstract

The stability of second order time-varying constrained notch filters (TVCNF) which are capable of rejecting a sine signal with time-varying frequency is analysed. Two cases are considered: TVCNF₁, where one of the two coefficients of the filter is allowed to vary with time while the value of the second coefficient is kept constant; TVCNF₂, where both the coefficients can vary with time. It is shown that TVCNF₂ is always asymptotically stable while the TVCNF₁ possesses unstable regions. Thus for tracking a sine signal with timevarying frequency, TVCNF₂ is preferable to TVCNF₂.

Original language	English
Pages (from-to)	1508-1509
Number of pages	2
Journal	Electronics Letters
Volume	26
Issue number	18
DOIs	https://doi.org/10.1049/el:19900968
State	Published - 1 Jan 1990
Externally published	Yes

Keywords

Stability
filters

ASJC Scopus subject areas

Electrical and Electronic Engineering

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10.1049/el:19900968

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title = "Stability of Second Order Time-Varying Constrained Notch Filters",

abstract = "The stability of second order time-varying constrained notch filters (TVCNF) which are capable of rejecting a sine signal with time-varying frequency is analysed. Two cases are considered: TVCNF1, where one of the two coefficients of the filter is allowed to vary with time while the value of the second coefficient is kept constant; TVCNF2, where both the coefficients can vary with time. It is shown that TVCNF2 is always asymptotically stable while the TVCNF1 possesses unstable regions. Thus for tracking a sine signal with timevarying frequency, TVCNF2 is preferable to TVCNF2.",

keywords = "Stability, filters",

author = "D. Wulich and Plotkin, {E. I.} and Swamy, {M. N.S.}",

year = "1990",

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T1 - Stability of Second Order Time-Varying Constrained Notch Filters

AU - Wulich, D.

AU - Plotkin, E. I.

AU - Swamy, M. N.S.

PY - 1990/1/1

Y1 - 1990/1/1

N2 - The stability of second order time-varying constrained notch filters (TVCNF) which are capable of rejecting a sine signal with time-varying frequency is analysed. Two cases are considered: TVCNF1, where one of the two coefficients of the filter is allowed to vary with time while the value of the second coefficient is kept constant; TVCNF2, where both the coefficients can vary with time. It is shown that TVCNF2 is always asymptotically stable while the TVCNF1 possesses unstable regions. Thus for tracking a sine signal with timevarying frequency, TVCNF2 is preferable to TVCNF2.

AB - The stability of second order time-varying constrained notch filters (TVCNF) which are capable of rejecting a sine signal with time-varying frequency is analysed. Two cases are considered: TVCNF1, where one of the two coefficients of the filter is allowed to vary with time while the value of the second coefficient is kept constant; TVCNF2, where both the coefficients can vary with time. It is shown that TVCNF2 is always asymptotically stable while the TVCNF1 possesses unstable regions. Thus for tracking a sine signal with timevarying frequency, TVCNF2 is preferable to TVCNF2.

KW - Stability

KW - filters

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U2 - 10.1049/el:19900968

DO - 10.1049/el:19900968

M3 - Article

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EP - 1509

JO - Electronics Letters

JF - Electronics Letters

IS - 18

ER -

Stability of Second Order Time-Varying Constrained Notch Filters

Abstract

Keywords

ASJC Scopus subject areas

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