Study on the sparse representation of power quality disturbance signal based on the redundant dictionary

The most necessary and difficult step of CS(Compressed Sensing) is the sparse representation of the signal. The paper uses DCT(Discrete Cosine Transformation) and DWT(Discrete Wavelet Transform) as the sparse matrix and different power quality signal as the test signal to research and verify the sparse representation and the reconstruction performance. Compare and analyze the performance of the redundant dictionary which is made with DCT and DWT. Experiment results show the effectiveness of the redundant dictionary applied to acquire the vessel power quality data.