FIR Filter Design Using Vedic Mathematics

Research Area: Volume 2 Issue 6, Nov. 2013 Year: 2013
Type of Publication: Article Keywords: FIR Filter, DSP, Urdhava-Tiryagbhyam, Vedic Mathematics, Linear Convolution
Authors:
  • Shashank Chaturvedi
  • Vandana Roy
  • Ankur Soni
  • Komal Kanojia
Journal: IJEIR Volume: 2
Number: 6 Pages: 496-500
Month: November
Abstract:
Digital Signal Processing 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. The use of multiplier with higher speed is of utmost importance to any DSP. Convolution is the basic concept of designing Finite Impulse Response (FIR) filter. FIR filter is also called convolution filter. Our effort has proved the efficiency of Urdhava-Tiryagbhyam method for multiplication which delivers a difference in the actual process of multiplication itself. In this paper, we design FIR filter using Urdhava-Tiryagbhyam sutra. This algorithm is implemented in MATLAB and performed in GUI. FIR filter based on Urdhava-Tiryagbhyam reduces the processing time as compared to inbuilt function of MATLAB. The results show that Urdhava-Tiryagbhyam has greater impact on improving the speed of FIR filter.

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