DocumentCode
913575
Title
Signals that can be calculated from their ambiguity function
Author
De Buda, Rudolf
Volume
16
Issue
2
fYear
1970
fDate
3/1/1970 12:00:00 AM
Firstpage
195
Lastpage
202
Abstract
A new lemma relates the analytic extensions of two time functions 
and 
to the Laplace transform of their ambiguity function 
. This lemma is used to derive necessary conditions for 
and 
from two bounds on the behavior of , at infinity. In particular, if the first bound is fulfilled, then 
and 
must be integral analytic functions. If both bounds are fulfilled, then and are each equal to 
times a polynomial in 
, and the two polynomials can be found from by comparing coefficients.
and to the Laplace transform of their ambiguity function . This lemma is used to derive necessary conditions for and from two bounds on the behavior of , at infinity. In particular, if the first bound is fulfilled, then and must be integral analytic functions. If both bounds are fulfilled, then and are each equal to times a polynomial in , and the two polynomials can be found from by comparing coefficients.Keywords
Radar waveform design; Automatic control; Automation; Convergence; Cybernetics; Games; Integral equations; Learning automata; Polynomials; Signal analysis; Stochastic processes;
fLanguage
English
Journal_Title
Information Theory, IEEE Transactions on
Publisher
ieee
ISSN
0018-9448
Type
jour
DOI
10.1109/TIT.1970.1054428
Filename
1054428
Link To Document