A very fast Jacobi-like algorithm for the parallel solution of symmetric eigenvalue problems is proposed. It becomes possible by not focusing on the realization of the Jacobi rotation with a CORDIC processor, but by applying approximate rotations and adjusting them to single steps of the CORDIC i Igorithm, Le., only one angle of the CORDIC angle sequence defines the Jacobi rotation in each step. This angle can be determined by some shift, add and compare operations. Although mly linear convergence is obtained for the most simple version of the new algorithm, the overall operation count (shifts and adds) decreases dramatically. A slow increase of the number of involved CORDIC angles during the runtime retains quadratic Iconvergence.
SUMMARYIn this paper, a low-complexity and highly integrated IP Core for image/video transformations is presented. It can perform quantized 8×8 DCT and quantized 8×8/4×4 H.264 integer transforms on the presented configurable architecture using integer shift-add arithmetic operations. The MPEG-4/H.264 experimental and circuit simulation results show that the reconfigurable modules and the CORDIC-Scaler can not only approximate the arbitrary scaling values for different video standards efficiently but also achieve very high throughput and retain good transformation quality compared with the default methods in terms of PSNR. Therefore, the proposed IP Core is very suitable for low-complexity multi-purpose Video Codecs in SoC designs.
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.