General weyl-heisenberg frames
Küçük Resim Yok
Tarih
2009
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Maltepe Üniversitesi
Erişim Hakkı
CC0 1.0 Universal
info:eu-repo/semantics/openAccess
info:eu-repo/semantics/openAccess
Özet
Every function f ? L 2 (R) can be written as an infinite linear combination of translates and modulates versions of the fixed function g ? L 2 (R)as Weyl-Heisenberg (W-H)frames (EmbTnag)m,n?Z = (e 2?imb(0)g(0 ? na))m,n?Z . For a sharp signal f we needed many coefficients of W-H frames to reconstruction f as a superposition of translation and modulation. Now in the present paper we introduce the general W-H frame as the translates, dilation and modulates versions of the fixed function g ? L 2 (R). We find sufficient condition for (EmbDkcTnag)m,k,n?Z to be a frame for L 2 (R).
Açıklama
Anahtar Kelimeler
Kaynak
International Conference of Mathematical Sciences
WoS Q Değeri
Scopus Q Değeri
Cilt
Sayı
Künye
Banaei, S. ve Aghapouramin, V. (2009). General weyl-heisenberg frames. Maltepe Üniversitesi. s. 363.