METHOD FOR COLLECTING SIGNAL WITH SAMPLING FREQUENCY LOWER THAN NYQUIST FREQUENCY

摘要

Disclosed is a method for collecting a signal lower than a Nyquist frequency: firstly selecting a suitable transformation base matrix for an input signal, using the transformation basis matrix to carry out sparse representation on the signal, so as to determine a signal sparsity k, then calculating the number M of compressive sampling operations by means of the sparsity, then respectively sampling the signal in fNYQ/M with M channels, next performing integration on a sampling value of each channel, thereby obtaining M measurement values, and then a reconstruction end reconstructs an original signal by solving an optimization problem. Based on the compressive perception theory, the present invention can perform compressive sampling on a sparse signal or a signal which can be represented sparsely with a frequency far lower than the Nyquist frequency, and breaks through the limitations of the typical Nyquist sampling theorem on a sampling frequency, and at the same time, the method is simple in implementation and decreases the pressure of data acquisition, storage, transmission and processing.