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Chapter 13

  • R. D. M. Hunter
  • T. T. Johnson
Chapter
Part of the Proceedings of the College Park Colloquia book series (PCPC)

Abstract

A certain second order digital filter implements the difference equation:
$${y_n} = {c_n}{x_n} + {c_1}{x_{n - 1}} + {c_2}{x_{n - 2}} - {c_y}{x_{n - 2}}$$
where the coefficients \({c_n} + {c_1} + {c_2} < 1\). The calculated values for the coefficients are:
$$\begin{gathered} {c_n} = 0.21 \hfill \\ {c_1} = 0.42 \hfill \\ {c_2} = 0.21 \hfill \\ {c_y} = 0.1715728 \hfill \\ \end{gathered} $$
Assume a 16-bit register limitation and 8-bit analogue to digital and digital to analogue converters with 0–5V range. The input x is sampled at unit times n, n-1, n-2, etc. The output from the ADC and the input to the DAC are unsigned and 8 bits wide. Create a model for the filter expression yn.

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Copyright information

© R.D.M. Hunter and T.T. Johnson 1997

Authors and Affiliations

  • R. D. M. Hunter
    • 1
  • T. T. Johnson
    • 2
  1. 1.University of PortsmouthUK
  2. 2.Summit Design Inc.USA

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