Resampling and requantization of band-limited Gaussian stochastic signals with flat power spectrum

  • Authors:
  • Marco Lanucara;Riccardo Borghi

  • Affiliations:
  • European Space Operation Centre, European Space Agency, D-64293 Darmstadt, Germany;Dipartimento di Elettronica Applicata, Università degli Studi “Roma Tre”, I-00146 Rome, Italy

  • Venue:
  • Digital Signal Processing
  • Year:
  • 2010

Quantified Score

Hi-index 0.00

Visualization

Abstract

A theoretical analysis, aimed at characterizing the degradation induced by the resampling and requantization processes applied to band-limited Gaussian signals with flat power spectrum, available through their digitized samples, is presented. The analysis provides an efficient algorithm for computing the complete joint bivariate discrete probability distribution associated with the true quantized version of the Gaussian signal and with the quantity estimated after resampling and requantization of the input digitized sequence. The use of Fourier transform techniques allows deriving approximate analytical expressions for the quantities of interest, as well as implementing their efficient computation. Numerical experiments are found to be in good agreement with the theoretical results, and confirm the validity of the whole approach.