A theoretical analysis for the evaluation of the probability of error occuring in resampling a noise-like band-limited Gaussian signal with flat power spectrum available through its digitized samples, is presented. The analysis assumes the use of an ideal sinc-based interpolation algorithm for the digitized signal reconstruction, which is proved to be optimum for the considered class of signals and quantization functions. The particular case of lowest order, i.e., 1 bit, quantization function, is fully treated in analytical terms and a theoretical prediction for the error probability is derived. Validation of the presented analysis is made through a comparison with numerical simulations.

Lanucara, M., Borghi, R. (2007). Resampling of band-limited Gaussian random signals with flat power spectrum, available through 1-Bit quantized samples. IEEE TRANSACTIONS ON SIGNAL PROCESSING, 55(8), 3987-3994 [10.1109/TSP.2007.894396].

Resampling of band-limited Gaussian random signals with flat power spectrum, available through 1-Bit quantized samples

BORGHI, Riccardo
2007-01-01

Abstract

A theoretical analysis for the evaluation of the probability of error occuring in resampling a noise-like band-limited Gaussian signal with flat power spectrum available through its digitized samples, is presented. The analysis assumes the use of an ideal sinc-based interpolation algorithm for the digitized signal reconstruction, which is proved to be optimum for the considered class of signals and quantization functions. The particular case of lowest order, i.e., 1 bit, quantization function, is fully treated in analytical terms and a theoretical prediction for the error probability is derived. Validation of the presented analysis is made through a comparison with numerical simulations.
2007
Lanucara, M., Borghi, R. (2007). Resampling of band-limited Gaussian random signals with flat power spectrum, available through 1-Bit quantized samples. IEEE TRANSACTIONS ON SIGNAL PROCESSING, 55(8), 3987-3994 [10.1109/TSP.2007.894396].
File in questo prodotto:
Non ci sono file associati a questo prodotto.

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11590/122025
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 3
  • ???jsp.display-item.citation.isi??? 3
social impact