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Production of a pseudo-random square wave using a shift register with binary feedbacks; Generation d'un creneau pseudo-aleatoire par un registre a decalage a contre-reaction binaire

Abstract

We summarize here the theoretical basis for the production of square wave having the values '1' or '0', the switching times being 'pseudo-random'. More precisely, the square-wave may or may not change value at regular time intervals of length {delta}, with probability approximately. 5 for each alternative. The wave-form is obtained by means of a shift-register having modulo-2 feedback. If the interval {delta} and the feedback connections are well chosen, it is possible to produce a waveform whose autocorrelation function is very close to a Dirac delta function. The square-wave therefore behaves like a quantized white noise, which has very interesting properties in cross-correlation techniques. (authors) [French] On resume ici les bases theoriques permettant d'obtenir un creneau prenant les valeurs '1' ou '0', les instants de commutation etant pseudo-aleatoires. Plus exactement, le creneau a la possibilite de changer (ou de ne pas changer) d'etat a intervalles de temps reguliers, separes par intervalle elementaire {delta}, chacune des deux possibilites possedant une probabilite d'apparition tres voisine de 0,5. Le creneau est obtenu par un registre a decalage (shift register) a contre-reactions logiques modulo-2. Si l'intervalle {delta} et les contre-reactions sont judicieusement choisis, il est possible d'obtenir pour le creneau une fonction d'autocorrelation  More>>
Publication Date:
Jul 01, 1964
Product Type:
Technical Report
Report Number:
CEA-R-2230
Resource Relation:
Other Information: PBD: 1964
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; CORRELATION FUNCTIONS; DELTA FUNCTION; MULTIVIBRATORS; NEUTRON SOURCES; PERIODICITY; POLYNOMIALS; SILICON DIODES; TRIODE TUBES; WAVE FORMS
OSTI ID:
20468525
Research Organizations:
Commissariat a l'Energie Atomique. Centre d'Etudes Nucleaires de Saclay, 91 - Gif-sur-Yvette (France)
Country of Origin:
France
Language:
French
Other Identifying Numbers:
TRN: FR04R2230044235
Availability:
Available from INIS in electronic form
Submitting Site:
FRN
Size:
44 pages
Announcement Date:

Citation Formats

Stern, T E, Cazemajou, J, Macherez, B, Valat, J, and Vignon, A. Production of a pseudo-random square wave using a shift register with binary feedbacks; Generation d'un creneau pseudo-aleatoire par un registre a decalage a contre-reaction binaire. France: N. p., 1964. Web.
Stern, T E, Cazemajou, J, Macherez, B, Valat, J, & Vignon, A. Production of a pseudo-random square wave using a shift register with binary feedbacks; Generation d'un creneau pseudo-aleatoire par un registre a decalage a contre-reaction binaire. France.
Stern, T E, Cazemajou, J, Macherez, B, Valat, J, and Vignon, A. 1964. "Production of a pseudo-random square wave using a shift register with binary feedbacks; Generation d'un creneau pseudo-aleatoire par un registre a decalage a contre-reaction binaire." France.
@misc{etde_20468525,
title = {Production of a pseudo-random square wave using a shift register with binary feedbacks; Generation d'un creneau pseudo-aleatoire par un registre a decalage a contre-reaction binaire}
author = {Stern, T E, Cazemajou, J, Macherez, B, Valat, J, and Vignon, A}
abstractNote = {We summarize here the theoretical basis for the production of square wave having the values '1' or '0', the switching times being 'pseudo-random'. More precisely, the square-wave may or may not change value at regular time intervals of length {delta}, with probability approximately. 5 for each alternative. The wave-form is obtained by means of a shift-register having modulo-2 feedback. If the interval {delta} and the feedback connections are well chosen, it is possible to produce a waveform whose autocorrelation function is very close to a Dirac delta function. The square-wave therefore behaves like a quantized white noise, which has very interesting properties in cross-correlation techniques. (authors) [French] On resume ici les bases theoriques permettant d'obtenir un creneau prenant les valeurs '1' ou '0', les instants de commutation etant pseudo-aleatoires. Plus exactement, le creneau a la possibilite de changer (ou de ne pas changer) d'etat a intervalles de temps reguliers, separes par intervalle elementaire {delta}, chacune des deux possibilites possedant une probabilite d'apparition tres voisine de 0,5. Le creneau est obtenu par un registre a decalage (shift register) a contre-reactions logiques modulo-2. Si l'intervalle {delta} et les contre-reactions sont judicieusement choisis, il est possible d'obtenir pour le creneau une fonction d'autocorrelation triangulaire tres voisine d'une impulsion de Dirac. Par suite le creneau se comporte comme un bruit blanc quantifie possedant de tres interessantes proprietes pour les techniques statistiques d'intercorrelation. (auteurs)}
place = {France}
year = {1964}
month = {Jul}
}