Using orthogonal transformations to obtain signal sequences with new autocorrelation and spectral characteristics
https://doi.org/10.37493/2307-910X.2023.3.2
Abstract
The paper developed a method for obtaining sequences of discrete signals, which greatly simplifies the process of obtaining signal sequences with new autocorrelation and spectral characteristics, based on the properties of orthogonal transformations of basis functions, which includes three stages: building a transition matrix; calculation of coordinates of signal points in a new basis; representation of the signal system in the basis of displaced unit pulses using coordinates in the new basis.
About the Author
V. M. Samus
North-Caucasian Federal University
Russian Federation
Russian Federation
Vladimir M. Samus – Doctoral Student, the Postgraduate at the Department of Information Security of Automated Systems,
Kulakova Ave, 2 (building 9), Stavropol, 355029
References
1. Varakin LE. Sistemy svyazi s shumopodobnymi signalami. M.: Radio i svyaz', 1985. 384 p.
2. Dikson RK. Shirokopolosnye sistemy. Per. s angl. Pod red. VI. Zhuravleva. M.: Svyaz', 1979. 304 p.
3. Dyadyunov NG, Senin AI. Ortogonal'nye i kvaziortogonal'nye signaly. M.: Svyaz', 1977. 222 p.
4. Peredacha tsifrovoi informatsii. Per. s angl. Pod red. S. I. Samoilenko. M.: Izdatel'stvo inostrannoi literatury, 1963. 325 p.
5. Zaidler E. Sistemy peredachi diskretnoi informatsii. Per. s pol'sk. Pod red. B. R. Levina. 7-i vyp. M.: Svyaz', 1977. 512 p.
6. Penin PI, Filippov LI. Radiotekhnicheskie sistemy peredachi informatsii. M.: Radio i svyaz', 1984. 256 p.
7. Sistemy podvizhnoi radiosvyazi. Pod red. IM. Pyshkina / IM. Pyshkin, II. Dezhurnyi, VN. Talyzin, GD. Chvilev. M.: Radio i svyaz', 1986. 328 p.
8. Kharmut KhF. Peredacha informatsii ortogonal'nymi funktsiyami. Per. s angl. N. G. Dyadyunova, A. I. Senina. M.: Svyaz', 1975. 267 p.
9. Balakrishnan AV. Teoriya svyazi. M.: Svyaz', 1972. 231 p.
10. Semenov AM, Sikarev AA. Shirokopolosnaya radiosvyaz'. M.: MO SSSR, 1970. 278 p.
11. Varakin LE. Teoriya slozhnykh signalov. M.: Sovetskoe radio, 1978. 199 p.
12. Pestryakov VB, Afanasev VP, Gurvits VL. Shumopodobnye signaly v sistemakh peredachi informatsii / pod red. V. B. Pestryakova. M.: Sovetskoe radio, 1973. 424 p.
13. Tot LF. Raspolozhenie na ploskosti, na sfere i v prostranstve. Per. s nem. N. M. Makarovoi. M.: Fizmatlit, 1958. 363 p.
14. Allen RL, Mills DW. Signal analysis. Time, frequency, scale, and structure. WileyInterscience, 2004. 382 p.
15. Popenko VS. Vektornyi sintez ansamblei ortogonal'nykh signalov. CH. 3. Stavropol: MO RF, 1993. 150 p.
16. Blokh EhL, Loshinskii LI., Turin VYa. Osnovy lineinoi algebry i nekotorye ee prilozheniya. M.: Vysshaya shkola, 1971. 256 p.
17. Golovina LI. Lineinaya algebra i nekotorye ee prilozheniya. M.: Nauka, 1971. 288 p.
18. Mal'tsev AI. Osnovy lineinoi algebry. M.: Nauka, 1970. 255 p.
19. Wang R. Introduction to Orthogonal Transforms: With Applications in Data Processing and Analysis. Cambridge University Press, 2012. 590 p.
20. Borevich ZI. Opredeliteli i matritsy. M.: Nauka, 1970. 540 p. 21. Markus M, Mink Kh. Obzor po teorii matrits i matrichnykh neravenstv. Per. s angl. / pod red. VB. Lidskogo. M.: Nauka, 1972. 232 p.
Review
For citations:
Samus V.M. Using orthogonal transformations to obtain signal sequences with new autocorrelation and spectral characteristics. Modern Science and Innovations. 2023;(3):19-24. (In Russ.) https://doi.org/10.37493/2307-910X.2023.3.2
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