Journal Achievements of Modern Radioelectronics №1 for 2018 г.
Article in number:
Differential phase shift keying of the quaternion carrier
Type of article: scientific article
UDC: 621.391.832
Keywords: hypercomplex signals quaternion MIMO differential phase shift keying spatial manipulation state space space-time code
Authors:

V.M. Sovetov – Dr.Sc. (Eng.), Chief Research Scientist, 16 CRTI DoD  E-mail: sovetovvm@mail.ru

Abstract:

Proposed a method of spatial differential phase shift keying of a carrier in 2n-dimensional state space, n =1,2,…, formed by the  dynamic equation using state transition matrices in the form of a real extension of the hypercomplex numbers obtained by the doubling procedure. Using the quaternion carrier as an example, the method of forming a reference matrix from a received signal with phase shift keying with a random phase shift is shown. It is shown that the reference matrix is orthogonal and represents the system matrix of the MIMO channel. Decoding matrices are obtained, which allow us to calculate the transmitted information symbols from the received information symbols. As a result, we get a gain in using the signal power for each channel, in general, 2n times.

Pages: 20-27
References
  1. Sovetov V.M. Prostranstvennaya fazovaya manipulyatsiya kvaternionnogo signala // Spetsial'naya tekhnika. 2016. № 5. S. 7–15.
  2. Sovetov V.M., Zhuzhoma V.M., Nazarov O.V. Realizatsiya skhemy MIMO s ispol'zovaniem predstavleniya nesushchej dinamicheskoj model'yu v prostranstve sostoyanij // Uspekhi sovremennoj radioe'lektroniki. 2016. № 8. S. 28–35.
  3. Sovetov V.M. Sintez optimal'nogo priyomnika giperkompleksnykh signalov // Spetsial'naya tekhnika. 2017. № 2. S. 2–10.
  4. Sovetov V.M. Diskretnyj fil'tr Kalmana v zadachakh optimal'nogo priyoma signalov // Radiotekhnika. 2016. № 3.S. 43–48.
  5. Sovetov V.M. Nepreryvnyj fil'tr Kalmana v zadachakh optimal'nogo priyoma signalov // Radiotekhnika. 2016. № 7. S. 111–118.
Date of receipt: 20 сентября 2017 г.