| Paper ID | SPTM-5.3 |
| Paper Title |
SPARSE TIME-FREQUENCY REPRESENTATION VIA ATOMIC NORM MINIMIZATION |
| Authors |
Tsubasa Kusano, Kohei Yatabe, Yasuhiro Oikawa, Waseda University, Japan |
| Session | SPTM-5: Sampling, Multirate Signal Processing and Digital Signal Processing 1 |
| 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 |
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| Virtual Presentation |
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| Abstract |
Nonstationary signals are commonly analyzed and processed in the time-frequency (T-F) domain that is obtained by the discrete Gabor transform (DGT). The T-F representation obtained by DGT is spread due to windowing, which may degrade the performance of T-F domain analysis and processing. To obtain a well-localized T-F representation, sparsity-aware methods using $\ell_1$-norm have been studied. However, they need to discretize a continuous parameter onto a grid, which causes a model mismatch. In this paper, we propose a method of estimating a sparse T-F representation using atomic norm. The atomic norm enables sparse optimization without discretization of continuous parameters. Numerical experiments show that the T-F representation obtained by the proposed method is sparser than the conventional methods. |
