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
fDate :
5/1/1991 12:00:00 AM
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;
Journal_Title :
Information Theory, IEEE Transactions on
