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This is QR decomposition RLS algorithm implementation based on ASIC, FPGA prototype, Zynq, CPU and cuda GPU acceleration. The code will cover serveral applications: Adaptive Beamformer, RLS algorithm, System Identification, etc. In the Matlab folder: data_gen.m: used to generate test vector file data_acq.m: to import the testbench results back to Matlab err_check.m: call data_acq.m to check the error margin between embedded platform and Matlab In the processor folder: makefile: support Zynq and x86 compiler, Zynq library link is required In the FPGA folder: the RTL code support both floating point and fixed point. Also, the generic can configure the hardware to be complex and real number computation.