Simple method of computing a function in fixed-point arithmetic

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Simple method of computing a function in fixed-point arithmetic

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The authors present a simple method, based on the principle of successive approximation, of computing a function using a fixed-point arithmetic processor. As an example, computing the square root function is considered and the performance is compared with Newton's method, in terms of accuracy and the number of instruction cycles required.

Inspec keywords: digital arithmetic; iterative methods; digital signal processing chips

Other keywords: accuracy; instruction cycles; arithmetic processor; successive approximation; square root function; fixed-point arithmetic

Subjects: Digital arithmetic methods; Microprocessors and microcomputers; Interpolation and function approximation (numerical analysis); Interpolation and function approximation (numerical analysis); Digital signal processing chips

References

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      • J.G. Proakis , D.G. Manolakis . (1995) Digital signal processing principles, algorithms and applications.
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      • Analog Devices, `DSP Applications using ADSP 2100 Family', 1992.
    3. 3)
      • Analog Devices, `ADSP 2101/2102 Ez-Lab Manual', 1990.
    4. 4)
      • Analog Devices, `ADSP 2100 Family User's Manual', 1993.
    5. 5)
      • Deo, S.S.: `Digital signal processing based interface for a fiber optic gyroscope', 1997, M.E., Indian Institute of Science, Department of ECE, Bangalore, India.
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