Abstarct: To take advantage of the properties and characteristics of algorithms, we need to implement it in practice. Among the different algorithms, the digital algorithms are of great importance, Because of the advantages of digital systems over analog. Digital hardware such as digital signal processors, FPGA and etc., have a wide range of applications. In this thesis, one of the most important structures of digital filters, wave digital filters was considered. Using Software implementation of filters in MATLAB environment, a comparison between this class of filters and several other important classes of digital filters has been done, in terms of speed and sensitivity. By using assembly language, a cascade of two-level LWD filter has been implemented for TMS320VC5505 processor. This implementation fulfilled in the Code Composer Studio environment. The assembly program has been optimized, By using parallel processing instructions. Then Run time of the optimized assembly program was compared to the none-optimized assembly program. Hardware implementation of this filter has been fulfilled by using evaluation module TMS320VC5505. The output signal of the TMS320VC5505 was observed on the oscilloscope. This signal processor is product of Texas Instrument.