By Topic

A Unified Approach to the Synthesis of Orthonormal Exponential Functions Useful in Systems Analysis

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

1 Author(s)
Mendel, J.M. ; Douglas Aircraft Company, Inc., Santa Monica, Calif.

A unified approach is presented for the construction of sets of orthonormal exponential functions whose elements have the properties such that: 1) their asymptotic order may be chosen arbitrarily, and 2) their poles may be real, complex, or some real and others complex. The main results are summarized as theorems and propositions in which the sets of exponentials are derived as transfer functions in the s domain. These theorems and propositions supplement the more conventional Gram-Schmidt procedure which is useful for the orthonormalization of functions in the time domain. Examples are given which illustrate applications of the main results. In addition, a generalized spectrum analyzer, which can be synthesized on an analog computer, is developed for use in the automatic evaluation of Fourier coefficients.

Published in:

Systems Science and Cybernetics, IEEE Transactions on  (Volume:2 ,  Issue: 1 )