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 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 IEEE Xplore Open Preview Click here to view in IEEE Xplore Virtual Presentation Click here to watch in the Virtual Conference 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.