Nonlinear FIR differentiator for quantised input signals

Nonlinear FIR differentiator for quantised input signals

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The proposed nonlinear finite impulse response (FIR) differentiator is optimised for the reduction of quantisation error when processing signals of constant or slowly varying rate. Judicious use of a number theoretic approach to rate estimation for some input sequences reduces mean-squared error, relative to that of the optimum linear differentiator, whilst facilitating simple implementation.


    1. 1)
      • Quantization noise spectra
    2. 2)
      • FIR differentiators for quantized signals
    3. 3)
      • Recursive implementation of FIR differentiators with optimum noise attenuation
    4. 4)
      • Number theoretic approach to optimum velocity decoding given quantized position
    5. 5)
      • Discrete representation of straight lines
    6. 6)
      • A new parameterization of digital straight lines
    7. 7)
      • The number of digital straight lines on an N×N grid

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