Realization on image 2D-DCT sparse transform based on FPGA

Sampling is a necessary course that the Analog physical world leads to the world of digital information. Compressed sensing (CS) theory breaks through the traditional Nyquist sampling theorem for data acquisition. The research object of CS theory is a sparse representation of signals and here 2-D image sparse transform is achieved based on discrete cosine orthogonal basis. Furthermore, there are a presentation of 2D-DCT algorithm based on row-column decomposition structure and an illustration of the optimization algorithm of 1-D DCT based on FPGA emphatically, as well as the transpose RAM method between two levels 1-D DCT. Finally the rationality of the proposed algorithm is verified by comparing image 2D-DCT transformation based on FPGA and 2D-DCT calculation result in MATLAB.