Arithmetic Co-Transformations in the Real and Complex Logarithmic Number Systems

@article{Arnold1998ArithmeticCI,
  title={Arithmetic Co-Transformations in the Real and Complex Logarithmic Number Systems},
  author={Mark G. Arnold and Thomas A. Bailey and John R. Cowles and Mark D. Winkel},
  journal={IEEE Trans. Computers},
  year={1998},
  volume={47},
  pages={777-786}
}
The real logarithmic number system, which represents a value with a sign bit and a quantized logarithm, can be generalized to create the complex logarithmic number system, which replaces the sign bit with a quantized angle in a log/polar coordinate system. Although multiplication and related operations are easy in both real and complex systems, addition and subtraction are hard, especially when interpolation is used to implement the system. Both real and complex logarithmic arithmetic benefit… CONTINUE READING

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