Realization Of Compression Sampling And The Waveform Reconstruction Based On The Random Demodulation

The data needs are growing rapidly with the development of the electronic scienceand information technology, the signal frequency in the digital system becomes higherand higher, however, subject to the constraints of chip technology, it is very difficult toimprove the indicators of the high speed high accuracy analog-to-digital converter(ADC) chips, the Shannon-Nyquist sampling theorem has undoubtedly brought hugechallenges to the ADC as a guiding protocol for signal sampling. Under the guidance ofthe theorem, the process of information obtaining, storage, integration, processing, hasbecome one of the main bottleneck for further development in the field of information.Recently, scholars proposed the compressed sensing theory, which has the ability toovercome the restrictions of the traditional Nyquist sampling theorem for sparse signalsampling. In this paper, based on sparse characteristics of the analog signal and basis ofthe theory of compressed sensing, study on the key technology of analog signalcompression sampling.Under the premise of sparse signals, this paper presents a realization of hardwarecompression sampling scheme, and through the compression of the sampled signalreconstruction, verify the performance and feasibility of the system. The main line ofresearch are signal sampling and reconstruction, the main work can be summarized asthe following three parts:The first part: Study on the fundamental principles of random demodulationtechnology based on compression sampling, and introduce the fundamentals of thestructure of the sparse representation based on frequency domain.The content of thisportion is the basis of thesis work. The compression sampling systems proposed in thispaper are designed on the basis of the sampled mode.The second part：Study on the implementations of the compressed sampling systemmodel of analog signal. And design compress sampling system for these two signals,and deduce the matrix form of the waveform restoration algorithm based on the design.The third part：Introduce the typical signal reconstruction algorithm, and thenthrough comparative analysis, select the suitable waveform reconstruction algorithms which apply to the hardware sampling systems. Respectively introduce the signal modelof line spectrum signal and frequency band-band sparse signal.