Accession Number : AD0675437

Title :   A GENERALIZED REPRESENTATION OF SINGLE SIDEBAND SIGNALS FOR COMMUNICATIONS SYSTEMS,

Corporate Author : FLORIDA UNIV GAINESVILLE ENGINEERING AND INDUSTRIAL EXPERIMENT STATION

Personal Author(s) : Couch,Leon W.

Report Date : 18 JUL 1968

Pagination or Media Count : 53

Abstract : In Part I a new approach to single-sideband (SSB) signal design and analysis for communications systems is developed. It is shown that SSB signals may be synthesized by use of the conjugate functions of any entire function where the arguments are the real modulating signal and its Hilbert transform. Entire functions are displayed which give the SSB amplitude-modulated (SSB-AM), SSB frequency-modulated (SSB-FM), SSB envelope-detectable, and SSB square-law detectable signals. Both upper and lower SSB signals are obtained by a simple sign change. Furthermore, there are an infinite number of other types of SSB signals that may be obtained from this generalized representation. In Part II this entire generating function concept, along with analytic signal theory, is used to obtain generalized formulae for the properties of SSB signals. Formulae are obtained for (1) equivalent realizations for a given SSB signal, (2) the condition for a suppressed-carrier SSB signal, (3) autocorrelation function, (4) bandwidth (using various definitions), (5) efficiency of the SSB signal, and (6) peak-to-average power ratio. The amplitude of the discrete carrier term is found to be equal to the absolute value of the entire generating function evaluated at the origin provided the modulating signal is AC coupled. Examples of the use of these formulae are displayed where these properties are evaluated for stochastic modulation. In summary, the entire generating function concept is a new tool for synthesis and analysis of single-sideband signals. (Author)

Descriptors :   (*SINGLE SIDEBAND COMMUNICATIONS, RADIO SIGNALS), MODULATION, FUNCTIONS(MATHEMATICS), INTEGRAL TRANSFORMS, THEORY, STATISTICAL FUNCTIONS, BANDWIDTH, RADIOFREQUENCY POWER, EFFICIENCY, SYNTHESIS

Subject Categories : Radio Communications

Distribution Statement : APPROVED FOR PUBLIC RELEASE