Accession Number : ADA180748

Title :   Joint Representations in Quantum Mechanics and Signal Processing Theory: Why a Probability Function of Time and Frequency is Disallowed,

Corporate Author : ROYAL SIGNALS AND RADAR ESTABLISHMENT MALVERN (ENGLAND)

Personal Author(s) : Lowe,D.

Report Date : DEC 1986

Pagination or Media Count : 40

Abstract : A discussion is presented which attempts to clarify several misconceptions regarding the nature of distribution functions constructed as simultaneous functions of time and frequency. The problems associated with trying to interpret such densities as probability distributions are pointed out and the close correspondence between signal processing theory and quantum mechanics is exploited in order to address the problems raised. On the basis of the arguments presented, a preferred joint distribution is constructed, its properties outlined and its relevance to the representation of complex time-varying signals is discussed.

Descriptors :   *SIGNAL PROCESSING, *PROBABILITY DISTRIBUTION FUNCTIONS, *RADAR SIGNALS, DISTRIBUTION FUNCTIONS, PROBABILITY DISTRIBUTION FUNCTIONS, SIGNALS, SYNCHRONISM, THEORY, TIME, TIME DEPENDENCE, VARIATIONS, GREAT BRITAIN

Subject Categories : Quantum Theory and Relativity
      Statistics and Probability
      Active & Passive Radar Detection & Equipment

Distribution Statement : APPROVED FOR PUBLIC RELEASE