We are currently experiencing intermittent issues impacting performance. We apologize for the inconvenience.
By Topic

Synthesis of spectral densities using finite automata

Sign In

Cookies must be enabled to login.After enabling cookies , please use refresh or reload or ctrl+f5 on the browser for the login options.

Formats Non-Member Member
$31 $13
Learn how you can qualify for the best price for this item!
Become an IEEE Member or Subscribe to
IEEE Xplore for exclusive pricing!
close button

puzzle piece

IEEE membership options for an individual and IEEE Xplore subscriptions for an organization offer the most affordable access to essential journal articles, conference papers, standards, eBooks, and eLearning courses.

Learn more about:

IEEE membership

IEEE Xplore subscriptions

3 Author(s)
Monti, C. ; Dept. of Electron. & Inf., Padova Univ., Italy ; Pierobon, G.L. ; Viaro, U.

A method for designing a finite automaton whose output exhibits a given rational power spectral density R(z) belonging to a particular class, is presented. If the automaton input is composed of independent and identically distributed symbols, its state process is a homogeneous Markov chain whose transition probability matrix π may by obtained from the input probability mass function and the state transition function. Since the poles of R(z) only depend on π whereas its zeros depend on the matrix A specifying the output function, a matrix π with the desired eigenvalues (and perhaps additional ones) is first derived and, the matrix A is determined so as to ensure the realization of the desired zeros (as well as the cancellation of the additional poles possibly introduced in the first step). The method exploits the properties of circulant matrices; in particular, a sufficient condition is provided under which a circular matrix with given eigenvalues (ordered in a Hermitian sequence) is stochastic

Published in:

Acoustics, Speech, and Signal Processing, 1992. ICASSP-92., 1992 IEEE International Conference on  (Volume:5 )

Date of Conference:

23-26 Mar 1992