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Fast algorithm for digital logarithmic conversion

Fast algorithm for digital logarithmic conversion

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The use of homomorphic filtering in many problems involving nonlinear combination of signals requires complex logarithmic converters. A fast algorithm for digital logarithmic conversion is developed which uses simple computer manipulations. The algorithm trades accuracy for speed, but is found to be adequate in a number of applications tested so far.

References

    1. 1)
      • A.V. Oppenheim , R.W. Schafer , T.G. Stockham . Non-linear filtering of multiplied and convolved signals. Proc. Inst. Elect. Electron. Engrs. , 1264 - 1291
    2. 2)
      • R.C. Dobkin . Logarithmic convertors. IEEE Spectrum , 69 - 72
    3. 3)
      • T.G. Stockham . The application of generalised linearity to automatic gain control. IEEE Trans. , 267 - 270
    4. 4)
      • W.K. Roots , G.A. Jullien . Digital instrumentation of slowly moving arcs. IEEE Trans. , 124 - 128
    5. 5)
      • Jullien, G.A.: `Filtering non-linearly combined signals', DECUS 4th Canadian Symposium, 1970, p. 101–104.
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