DocumentCode
1257196
Title
Entropy and power spectrum of asymmetrically DC-constrained binary sequences
Author
Janssen, A.J.E.M. ; Immink, Kees A Schouhamer
Author_Institution
Philips Res. Lab., Eindhoven, Netherlands
Volume
37
Issue
3
fYear
1991
fDate
5/1/1991 12:00:00 AM
Firstpage
923
Lastpage
927
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.
Keywords
binary sequences; eigenvalues and eigenfunctions; entropy; error correction codes; magnetic storage; Shannon upper bound; asymmetrically DC-constrained binary sequences; bidiagonal Hessenberg-Toeplitz matrices; digital magnetic recording; eigenstructure; entropy; finite-state machines; maxentropic process; pilot tracking tones; power spectrum; Abstracts; Automata; Binary sequences; Convolutional codes; Eigenvalues and eigenfunctions; Entropy; Frequency; Partial response channels; Power generation; Skeleton;
fLanguage
English
Journal_Title
Information Theory, IEEE Transactions on
Publisher
ieee
ISSN
0018-9448
Type
jour
DOI
10.1109/18.79963
Filename
79963
Link To Document