Authors 
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Document type 
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Communication à un colloque (Conference Paper) – Présentation orale avec comité de sélection

Abstract 
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Abstract only given, substantially as follows. The properties derived by G. Polya and E.C. Titchmarsh for bandlimited deterministic signals are extended to bandlimited processes. It is shown that the number of zeros /b n/(/b T/) (complex and real) of the process with a magnitude <or=T is such that the limit /b n/(/b T/)/2/b T / for /b T/ rarr infinity equals 2/b W/, where /b W/ is the signal bandwidth. It is also shown that these zeros determine the process in the meansquaresense. Real zero signals (e.g. with no complex zeros) have a zerocrossing rate equal to 2/b W/ and are defined in the meansquaresense (except for a scale factor) by their zerocrossings. Special attention is given to the class of realzero signals whose successive samples alternate in sign. This class of signals has one zerocrossing in each Nyquist interval with probability one; it is the basis for a communication system described in another paper. The characteristic function and correlation function of this type of signal are derived. 
Publication date 
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1970 
Conference 
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"Proceedings of the 1970 international symposium on information theory", Noordwijk, Netherlands (1519 June 1970) 
Peer reviewed 
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yes 
Host document 
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"Proceedings of the 1970 international symposium on information theory" 1 pp. 
Publisher 
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IEEE 
Affiliation 
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UCL 
Links 
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