Abstract:A pulse shaping filter at the transmitter was set up to reduce the modulation bandwidth and inhibit the out-of-band spurious, and made use of a matched filter at the receiver to obtain the maximum signal noise ratio. A cascaded multistage half-band shaping filter was designed and the minimum phase and maximum phase decomposition method was used, which facilitated the filter available in the practical communication system. Simulation result indicates that distinguished from the raised cosine finite impulse response filter, the designed filter has many advantages: the pass-band with lower ups and downs, less cost on the hardware resource, and extra power gain at low SNR for different modulation.