Entropy and power spectrum of asymmetrically DC-constrained binary sequences

A.J.E.M. Janssen; K.A. Schouhamer Immink

doi:10.1109/18.79963

Entropy and power spectrum of asymmetrically DC-constrained binary sequences

A.J.E.M. Janssen, K.A. Schouhamer Immink

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Abstract

The eigenstructure of bidiagonal Hessenberg-Toeplitz matrices is determined. These matrices occur as skeleton matrices of finite-state machines generating certain asymmetrically DC-constrained binary sequences that can be used for simulating pilot tracking tones in digital magnetic recording. The eigenstructure is used to calculate the Shannon upper bound to the entropy of the finite state machine as well as the power spectrum of the maxentropic process generated by it. U7 - Cited By (since 1996): 1 U7 - Export Date: 26 February 2010 U7 - Source: Scopus U7 - CODEN: IETTA

Original language	English
Pages (from-to)	923-927
Number of pages	5
Journal	IEEE Transactions on Information Theory
Volume	37
Issue number	3
DOIs	https://doi.org/10.1109/18.79963
Publication status	Published - 1991

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title = "Entropy and power spectrum of asymmetrically DC-constrained binary sequences",

abstract = "The eigenstructure of bidiagonal Hessenberg-Toeplitz matrices is determined. These matrices occur as skeleton matrices of finite-state machines generating certain asymmetrically DC-constrained binary sequences that can be used for simulating pilot tracking tones in digital magnetic recording. The eigenstructure is used to calculate the Shannon upper bound to the entropy of the finite state machine as well as the power spectrum of the maxentropic process generated by it. U7 - Cited By (since 1996): 1 U7 - Export Date: 26 February 2010 U7 - Source: Scopus U7 - CODEN: IETTA",

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N2 - The eigenstructure of bidiagonal Hessenberg-Toeplitz matrices is determined. These matrices occur as skeleton matrices of finite-state machines generating certain asymmetrically DC-constrained binary sequences that can be used for simulating pilot tracking tones in digital magnetic recording. The eigenstructure is used to calculate the Shannon upper bound to the entropy of the finite state machine as well as the power spectrum of the maxentropic process generated by it. U7 - Cited By (since 1996): 1 U7 - Export Date: 26 February 2010 U7 - Source: Scopus U7 - CODEN: IETTA

AB - The eigenstructure of bidiagonal Hessenberg-Toeplitz matrices is determined. These matrices occur as skeleton matrices of finite-state machines generating certain asymmetrically DC-constrained binary sequences that can be used for simulating pilot tracking tones in digital magnetic recording. The eigenstructure is used to calculate the Shannon upper bound to the entropy of the finite state machine as well as the power spectrum of the maxentropic process generated by it. U7 - Cited By (since 1996): 1 U7 - Export Date: 26 February 2010 U7 - Source: Scopus U7 - CODEN: IETTA

U2 - 10.1109/18.79963

DO - 10.1109/18.79963

M3 - Article

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SP - 923

EP - 927

JO - IEEE Transactions on Information Theory

JF - IEEE Transactions on Information Theory

IS - 3

ER -

Entropy and power spectrum of asymmetrically DC-constrained binary sequences

Abstract

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