Inner-product quasilinear spaces with applications in signal processing
Küçük Resim Yok
Tarih
2021
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Tbilisi Centre Math Sci
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
If certain characteristics of a non-deterministic signal are known, can some approximate results be obtained concerning the frequency, deterministic autocorrelation or other characteristics of the signal? The mathematical techniques we have developed allow us to obtain some approximate estimations of this type. In this way we use some new mathematical methods so called quasilinear functional analysis. Interval analysis also in the scope of this area and we use complex interval-valued signals in calculations. Especially, in this work, we give some special properties and results of inner-product quasilinear spaces which are generalizations of classical inner-product spaces. By this results we give easy examples of approximate estimations of deterministic autocorrelation of some semi non-deterministic signals or signals with inexact data. Further, we have constructed the space Il(2) and we have showed that Il(2) is an inner-product quasilinear space. This space provides a basis for an estimation of deterministic autocorrelation of the signals with inexact data.
Açıklama
Anahtar Kelimeler
inner-product quasilinear spaces, non-deterministic signals, complex interval-valued signals, deterministic auto-correlation, Hilbert quasilinear spaces
Kaynak
Advanced Studies-Euro-Tbilisi Mathematical Journal
WoS Q Değeri
N/A
Scopus Q Değeri
Q4
Cilt
14
Sayı
4
