In order to meet the requirement of high-speed and high-order shaping filter design, an improved DA (Distributed Architecture) algorithm is proposed on the basis of the traditional DA method. Considering zero insertion using in up-sampling process, Look-Up-Table is employed instead of ROM (Read-Only Memory) for reducing the number of effective address and increasing addressing speed. The proposed algorithm takes advantage of tables segmentation and symmetry of filter coefficients to save storage resource and improve processing speed. Meanwhile, pipeline contracture is further exploited to achieve better performance. Compared with commercial finite impulse response filter IP core, the proposed algorithm not only realizes higher rate as well as reduces the utilization of logic resources effectively, but also can design high-order filter without limit of ROM in hardware.