On the coefficient quantization of Multiplicative FIR filters

  • Authors:

  • Jean-Jacques Vandenbussche;Peter Lee;Joan Peuteman

  • Affiliations:

  • University of Kent, School of Engineering and Digital Arts, Jennison building, Canterbury, Kent, CT2 7NT, UK and KHBO, Faculty of Engineering Technology, Technical University College KHBO, Zeedijk ...;University of Kent, School of Engineering and Digital Arts, Jennison building, Canterbury, Kent, CT2 7NT, UK;KHBO, Faculty of Engineering Technology, Technical University College KHBO, Zeedijk 101, 8400 Ostend, Belgium and Katholieke Universiteit Leuven, Department of Electrical Engineering (ESAT), Onder ...

  • Venue:
  • Digital Signal Processing
  • Year:
  • 2013

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Abstract

This paper analyzes the effects of coefficient quantization of Multiplicative Finite Impulse Response (MFIR) filters used to approximate the behavior of pole filters. Statistical analysis, zero displacement sensitivity and frequency domain analysis are used as measures of the filter performance for different coefficient lengths. A practical expression for determining the required number of bits for the coefficient quantization as a function of a predefined maximum deviation in the magnitude response is proposed in combination with an alternative method based on a time domain analysis. The time domain analysis allows, for a specific pole approximation, to investigate the sensitivity of the MFIR structure to coefficient variations. The paper concludes that, statistically, the MFIR pole approximation filter does not require a larger number of quantization bits for its coefficients than the corresponding Infinite Impulse Response (IIR) filter.