MIXED NORMS WITH OVERLAPPING GROUPS AS SIGNAL PRIORS


Bayram I.

IEEE International Conference on Acoustics, Speech, and Signal Processing (ICASSP), Prague, Çek Cumhuriyeti, 22 - 27 Mayıs 2011, ss.4036-4039 identifier

  • Yayın Türü: Bildiri / Tam Metin Bildiri
  • Basıldığı Şehir: Prague
  • Basıldığı Ülke: Çek Cumhuriyeti
  • Sayfa Sayıları: ss.4036-4039
  • İstanbul Teknik Üniversitesi Adresli: Evet

Özet

In a number of signal processing applications, problem formulations based on the l(1) norm as a sparsity inducing signal prior lead to simple algorithms with good performance. However, l(1) norm is not flexible enough to handle certain signal structures that are represented using a few groups of coefficients. Formulations that make use of mixed norms provide an alternative that can handle such signals by forcing sparsity on a group level and allowing non-sparse distributions within the groups. However, conventional mixed norms allow only non-overlapping groups - a restriction that leads to characteristics unlikely for natural signals. In this paper, we investigate mixed norms with overlapping groups. We consider a simple denoising formulation that gives a convex optimization problem and provide an algorithm that solves the problem. We use the algorithm to evaluate the performance of mixed norms with overlapping groups as signal priors.