This paper introduced a matrix parametrization method based on the Loeffler discrete cosine transform (DCT) algorithm. As a result, a new class of eight-point DCT approximations was proposed, capable of unifying the mathematical formalism of several eight-point DCT approximations archived in the literature. Pareto-efficient DCT approximations are obtained through multicriteria optimization, where computational complexity, proximity, and coding performance are considered. Efficient approximations and their scaled 16- and 32-point versions are embedded into image and video encoders, including a JPEG-like codec and H.264/AVC and H.265/HEVC standards. Results are compared to the unmodified standard codecs. Efficient approximations are mapped and implemented on a Xilinx VLX240T FPGA and evaluated for area, speed, and power consumption.

翻译：本文介绍了基于Loeffler离散的cosine变异(DCT)算法的矩阵超光化方法,因此,提议了8点DCT近似值的新类别,能够统一文献中存档的数个8点DCT近似值的数学形式;通过多标准优化获得高效DCT近似值,考虑计算复杂性、近距离和编码性能;在图像和视频编码器中嵌入高效近似16点和32点的版本,包括类似JPEG的编码器和H.264/AVC和H.265/HEVC的标准;将结果与未修改的标准编码器进行比较;在Xilinx VLX240T FPGA上绘制并实施高效近光度近光,并按面积、速度和电耗量进行评估。