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 :
