Sell Your Projects | My Account | Careers | This email address is being protected from spambots. You need JavaScript enabled to view it. | Call: +91 9573777164

Relaxing Tight Frame Condition in Parallel Proximal Methods for Signal Restoration

1 1 1 1 1 Rating 4.75 (2 Votes)


A fruitful approach for solving signal deconvolution problems consists of resorting to a frame-based convex variational formulation. In this context, parallel proximal algorithms and related alternating direction methods of multipliers have become popular optimization techniques to approximate iteratively the desired solution. Until now, in most of these methods, either Lipschitz differentiability properties or tight frame representations were assumed. In this paper, it is shown that it is possible to relax these assumptions by considering a class of non-necessarily tight frame representations, thus offering the possibility of addressing a broader class of signal restoration problems. In particular, it is possible to use non-necessarily maximally decimated filter banks with perfect reconstruction, which are common tools in digital signal processing. The proposed approach allows us to solve both frame analysis and frame synthesis problems for various noise distributions. In our simulations, it is applied to the deconvolution of data corrupted with Poisson noise or Laplacian noise by using (non-tight) discrete dual-tree wavelet representations and filter bank structures.

Did you like this research project?

To get this research project Guidelines, Training and Code... Click Here

Relaxing Tight Frame Condition in Parallel Proximal Methods for Signal Restoration - 4.5 out of 5 based on 2 votes

Project EnquiryLatest Ready Available Academic Live Projects in affordable prices

Included complete project review wise documentation with project explanation videos and Much More...