Design and development of interval arithmetic library using Q format data representation: A FPGA approach

Basic digital signal operations are addition, subtraction, multiplication, division, multiply accumulate etc. Performance consideration depends on speed, area, power, precision, correctness and reliability of computed results. Digital signal processing is basically operating on the input signals to improve the output quality of the signal. To introduce the novel approach of interval arithmetic hardware modelling of basic building blocks using Q format in digital signal processing. Develop the interval arithmetic adder, subtractor, multiplier. Design and implement the novel interval arithmetic FIR filter using Q format data operations.