Atomic Decomposition by Basis Pursuit
SIAM Journal on Scientific Computing
Multiple period estimation and pitch perception model
Speech Communication
Discrete Time Processing of Speech Signals
Discrete Time Processing of Speech Signals
IEEE Transactions on Signal Processing
Orthogonal, exactly periodic subspace decomposition
IEEE Transactions on Signal Processing
IEEE Transactions on Audio, Speech, and Language Processing
Image decomposition via the combination of sparse representations and a variational approach
IEEE Transactions on Image Processing
Learning dictionaries of stable autoregressive models for audio scene analysis
ICML '09 Proceedings of the 26th Annual International Conference on Machine Learning
Phase registration of a single quasi-periodic signal using self dynamic time warping
ACCV'10 Proceedings of the 10th Asian conference on Computer vision - Volume Part III
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This study proposes a method to decompose a signal into a set of periodic signals. The proposed decomposition method imposes a penalty on the resultant periodic subsignals in order to improve the sparsity of decomposition and avoid the overestimation of periods. This penalty is defined as the weighted sum of the l2 norms of the resultant periodic subsignals. This decomposition is approximated by an unconstrained minimization problem. In order to solve this problem, a relaxation algorithm is applied. In the experiments, decomposition results are presented to demonstrate the simultaneous detection of periods and waveforms hidden in signal mixtures.