Radiotekhnika
Publishing house Radiotekhnika

"Publishing house Radiotekhnika":
scientific and technical literature.
Books and journals of publishing houses: IPRZHR, RS-PRESS, SCIENCE-PRESS


Тел.: +7 (495) 625-9241

 

Generalized spectrum of signals and its properties

Keywords:

S.V. Shibirin – Ph. D. (Eng.), Senior Research Scientist, JSC «Russian space systems» (Moscow). E-mail: shbrn@mail.ru


In this paper we give a generalization of Parseval equality the case of nonorthogonal systems, to define a generic spectrum of signals and the multiplicity property. Spectral problem is formulated as the task of selecting the basis.
References:

 

  1. Akhiezer N.I., Glazman I.M. Teorija linejjnykh operatorov v gilbertovom prostranstve. KHarkov: Vishha shkola. 1977. T. 1. S. 316.
  2. Banakh S. Teorija linejjnykh operacijj. Moskva-Izhevsk: RKHD. 2001. 272 s.
  3. Viner N., Pehli R. Preobrazovanie Fure v kompleksnojj oblasti. M.: Nauka. 1964. 268 s.
  4. Vinnickijj A.S. Modulirovannye filtry i sledjashhijj priem CHM. M.: Sov. radio. 1969. 548 s.
  5. Gorelik G. Rezonansnye javlenija v linejjnykh sistemakh s periodicheski menjajushhimisja parametrami // ZHurnal tekhnicheskojj fiziki. 1934. T. 4. № 10. S. 1783−1816.
  6. Levin B.JA. Raspredelenie kornejj celykh funkcijj. M.: GITTL. 1956. 632 s.
  7. Trakhtman A.M. Vvedenie v obobshhennuju spektralnuju teoriju signalov. M.: Sov. radio. 1972. 352 s.
  8. KHarkevich A.A. Spektry i analiz. M.: GTTL. 1957. S. 236.
  9. Riesz F. Sur les ensembles de founctions // Comptes rendus. 1906. P. 738−741.

 

Sept. 2, 2020
Aug. 27, 2020
June 24, 2020

© Издательство «РАДИОТЕХНИКА», 2004-2017            Тел.: (495) 625-9241                   Designed by [SWAP]Studio