Digital Signal Processing (DSP) operation using Vedic mathematics which performs the signal processing operations like Convolution, Circular Convolution, Cross Correlation, auto-correlation and filter design. Digital Signal Processing (DSP) operations are very important part of engineering as well as medical discipline. Designing of DSP operations have many approaches. This design process provides the analysis of signals for improving the accuracy of the mathematical calculations. It facilitates the time sharing for all signals to compute mathematical operations simultaneously. Vedic mathematics is the ancient mathematics which has a unique technique of mental calculation with the help of simple rules and principles based on 16 sutras.