Digital still cameras (DSCs) have already been as one mainstream of consumer products, users consider three major factors, quality of images, prices, and volume, to purchase them or not. Nowadays, although the Color Filter Array (CFA) design has been adopted in DSCs for reducing their cost and volume, the major one disadvantage of such CFA design will lower its quality of the image. In this paper, we propose a high-quality and higt-speed demosaicking algorithm design to improve this poor image quality by interpolating the lost pixels of CFA design. The “demosaicking” is an interpolation process which is to interpolate the lost pixels into its original image on such CFA design. After demosaicking stage, the quality of this interpolated image can approach that of its original image. Simultaneously, without reducing the quality of the image, our proposed algorithm will also lower the filter dimensions to reduce the computation time. From our results of PSNR (Peak Signal to Noise ratio) analysis, the proposed novel design effectively lowers 5.6%, 6.2%, 9%, and 4.4% noise than the methods of the literals [5][8][1][7], respectively. Moreover, compared with the computation time, our proposed algorithm can effectively reduce about 405%、64%、12% and 179% computation time than of methods of the literals [5][8][1][7], respectively.