Title :
Quantization Noise as Superposition of Frequency-Modulated Sinusoids
Author :
Zierhofer, Clemens M.
Author_Institution :
Christian Doppler Lab. for Active Implantable Syst., Univ. of Innsbruck, Innsbruck, Austria
Abstract :
A closed-form deterministic description of the quantization noise introduced by an infinite uniform quantizer as a function of an arbitrary input signal is given. The quantization noise can be regarded as a superposition of frequency-modulated (FM) sinusoids. For a band-limited Gaussian noise input signal, the power density spectrum of the quantization noise is derived. For a discrete-time system, conditions for the quantization noise being uniformly distributed and spectrally white are given. The analytic expressions are in excellent agreement with simulation results.
Keywords :
Gaussian noise; bandlimited signals; discrete time systems; frequency modulation; quantisation (signal); statistical distributions; arbitrary input signal; band-limited Gaussian noise input signal; closed-form deterministic description; discrete-time system; frequency-modulated sinusoid; infinite uniform quantizer; power density spectrum; quantization noise; uniform distribution; Autocorrelation function; Gaussian noise input; frequency modulation; power density spectra; quantization noise decomposition; uniform quantizer;
Journal_Title :
Signal Processing Letters, IEEE
DOI :
10.1109/LSP.2009.2027553
