Paper ID | SPTM-6.2 | ||
Paper Title | PERIODIC SIGNAL DENOISING: AN ANALYSIS-SYNTHESIS FRAMEWORK BASED ON RAMANUJAN FILTER BANKS AND DICTIONARIES | ||
Authors | Pranav Kulkarni, P. P. Vaidyanathan, California Institute of Technology, United States | ||
Session | SPTM-6: Sampling, Multirate Signal Processing and Digital Signal Processing 2 | ||
Location | Gather.Town | ||
Session Time: | Tuesday, 08 June, 16:30 - 17:15 | ||
Presentation Time: | Tuesday, 08 June, 16:30 - 17:15 | ||
Presentation | Poster | ||
Topic | Signal Processing Theory and Methods: [SMDSP] Sampling, Multirate Signal Processing and Digital Signal Processing | ||
IEEE Xplore Open Preview | Click here to view in IEEE Xplore | ||
Abstract | Ramanujan filter banks (RFB) have in the past been used to identify periodicities in data. These are analysis filter banks with no synthesis counterpart for perfect reconstruction of the original signal, so they have not been useful for denoising periodic signals. This paper proposes to use a hybrid analysis-synthesis framework for denoising discrete-time periodic signals. The synthesis occurs via a pruned dictionary designed based on the output energies of the RFB analysis filters. A unique property of the framework is that the denoised output signal is guaranteed to be periodic unlike any of the other methods. For a large range of input noise levels, the proposed approach achieves a stable and high SNR gain outperforming many traditional denoising techniques. |