An investigation of the non-uniform sampling technique as applied to digital filter designs will be made. The objective of the design is to reduce the interference problems as one would· encounter in using uniform sampling technique in the synthesis. An analysis of the error function which measures the goodness in approximating a desired frequency response will also be undertaken. An algorithm which determines the optimal parameters.for a high pass filter will be developed and used to synthesize the particular high pass filter. The results of this design, the frequency response and its approximation error will be studied and evaluated.