Inner Product Determining in Spread Spectrum Signals Representation and Detection

Author

Dragan, Yaroslav ; Yavorskyy, Bohdan

Author_Institution

Ternopil State Tech. Univ., Ternopil

fYear

2006

fDate

Feb. 28 2006-March 4 2006

Firstpage

239

Lastpage

242

Abstract

The given work is devoted for developing based on a reproducing kernel Hilbert space (RKHS) methodics to the rigged Hilbert space (RHS) obtained from a Hilbert space over Hilbert Space (HSOHS). Are obtained an analog to digital conversion (ADC) of a signal with the spectrum spreaded in the wide band representation and accuracy inner product. Furthermore, we apply this technique in the problem of the spread spectrum signal (SSS) detection and provide a computationally feasible optimum detector.

Keywords

Hilbert spaces; signal detection; signal representation; spread spectrum communication; stochastic processes; Hilbert space over Hilbert Space; accuracy inner product; analog to digital conversion; optimum detector; reproducing kernel Hilbert space; rigged Hilbert space; signal detection; signal representation; spread spectrum signals; wide band representation; Analog-digital conversion; Detectors; Eigenvalues and eigenfunctions; Hilbert space; Kernel; Signal detection; Signal representations; Spread spectrum communication; Stochastic processes; Wideband; Analog to Digital Conversion; Detection; Inner Product; Representation; Signal; Spread Spectrum;

fLanguage

English

Publisher

ieee

Conference_Titel

Modern Problems of Radio Engineering, Telecommunications, and Computer Science, 2006. TCSET 2006. International Conference

Conference_Location

Lviv-Slavsko

Print_ISBN

966-553-507-2

Type

conf

DOI

10.1109/TCSET.2006.4404507

Filename

4404507