ROM-based special purpose multiplication and its applications

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ROM-based special purpose multiplication and its applications

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A special-purpose ROM-based component is proposed to calculate x sin (θ) and x cos (θ). The method significantly reduces the memory requirement of look-up tables. Applying the method to the design of a co-ordinate rotator, a low-cost pipelined architecture is proposed that provides a throughput of 0.25 rotations per addition time.

Inspec keywords: read-only storage; digital arithmetic; table lookup; computerised signal processing; pipeline processing

Other keywords: memory requirement; co-ordinate rotator; pipelined architecture; ROM-based component; through-put; look-up tables

Subjects: Digital signal processing; Digital arithmetic methods; Data handling techniques

References

    1. 1)
      • K. Hwang . (1979) , Computer arithmetic.
    2. 2)
      • E.J. Taylor , R. Gill , J. Joseph , J. Radke . A 20 bit logarithmic number system processor. IEEE Trans. , 190 - 200
    3. 3)
      • Considine, V.: `CORDIC trigonometric function generator for DSP', Proc. IEEE ICASSP, 1989, p. 2381–2384.
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