Some Bounds and the Conditional Maximum Bound for Restricted Isometry Constants

Shiqing WANG; Limin SU

Makale detayları

Some Bounds and the Conditional Maximum Bound for Restricted Isometry Constants

Yazarlar:

Shiqing WANG | Limin SU

Yayıncı:

Gazi University

Ana Başlıklar:

Uygulamalı fizik

Dergi:

Gazi University Journal of Science 2014 Vol.27 Issue 4, pp.1021-1030

Belge Tipi:

Makale

Yayın Tarihi:

11/2014

Belge Dili:

İngilizce

Document ID (Org No.):

2000429002

eISSN:

2147-1762

Özet:

 


Compressed sensing seeks to recover an unknown sparse signal with  entries by making far fewer than  measurements. The restricted isometry Constants (RIC) has become a dominant tool used for such cases since if RIC satisfies some bound then sparse signals are guaranteed to be recovered exactly when no noise is present and sparse signals can be estimated stably in the noisy case. During the last few years, a great deal of attention has been focused on bounds of RIC, see, e. g., Candes (2008), Foucart et al (2009), Foucart (2010), Cai et al (2010), Mo et al (2011), Ji et al (2012). Finding bounds of RIC has theoretical and applied significance. In this paper, we obtain a bound of RIC. It improves the results by Cai et al (2010) and Ji et al (2012). Further, we discuss the problems related larger bound of RIC, and give the conditional maximum bound.

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Makale detayları

Some Bounds and the Conditional Maximum Bound for Restricted Isometry Constants

Yazarlar: Shiqing WANG | Limin SU

Yayıncı: Gazi University

Ana Başlıklar: Uygulamalı fizik

Dergi: Gazi University Journal of Science 2014 Vol.27 Issue 4, pp.1021-1030

Belge Tipi: Makale

Yayın Tarihi: 11/2014

Belge Dili: İngilizce

Document ID (Org No.): 2000429002

eISSN: 2147-1762

Sayı

Yazarlar:

Shiqing WANG | Limin SU

Yayıncı:

Gazi University

Ana Başlıklar:

Uygulamalı fizik

Dergi:

Gazi University Journal of Science 2014 Vol.27 Issue 4, pp.1021-1030

Belge Tipi:

Makale

Yayın Tarihi:

11/2014

Belge Dili:

İngilizce

Document ID (Org No.):

2000429002

eISSN:

2147-1762