On the eigenvalues of an infinite Jacobi matrix.

A.J.E.M. Janssen

On the eigenvalues of an infinite Jacobi matrix.

A.J.E.M. Janssen

Control Systems

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Abstract

We study the eigenvalues sigma //k,K equals 1,2,. . . of an infinite Jacobi matrix as given. These eigenvalues can be used for evaluating the limit as n yields infinity of given integrals that occur in the analysis of certain frequency domain adaptive filtering algorithms where the step size used for a particular band depends on the relative power in that band.

Original language	English
Pages (from-to)	323-351
Number of pages	15
Journal	Philips Journal of Research
Volume	40
Issue number	6
Publication status	Published - 1985

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title = "On the eigenvalues of an infinite Jacobi matrix.",

abstract = "We study the eigenvalues sigma //k,K equals 1,2,. . . of an infinite Jacobi matrix as given. These eigenvalues can be used for evaluating the limit as n yields infinity of given integrals that occur in the analysis of certain frequency domain adaptive filtering algorithms where the step size used for a particular band depends on the relative power in that band.",

author = "A.J.E.M. Janssen",

year = "1985",

language = "English",

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journal = "Philips Journal of Research",

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T1 - On the eigenvalues of an infinite Jacobi matrix.

AU - Janssen, A.J.E.M.

PY - 1985

Y1 - 1985

N2 - We study the eigenvalues sigma //k,K equals 1,2,. . . of an infinite Jacobi matrix as given. These eigenvalues can be used for evaluating the limit as n yields infinity of given integrals that occur in the analysis of certain frequency domain adaptive filtering algorithms where the step size used for a particular band depends on the relative power in that band.

AB - We study the eigenvalues sigma //k,K equals 1,2,. . . of an infinite Jacobi matrix as given. These eigenvalues can be used for evaluating the limit as n yields infinity of given integrals that occur in the analysis of certain frequency domain adaptive filtering algorithms where the step size used for a particular band depends on the relative power in that band.

M3 - Article

SN - 0165-5817

VL - 40

SP - 323

EP - 351

JO - Philips Journal of Research

JF - Philips Journal of Research

IS - 6

ER -

On the eigenvalues of an infinite Jacobi matrix.

Abstract

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