Title :
On the autocorrelation function of quantized signal plus noise
fDate :
1/1/1965 12:00:00 AM
Abstract :
We derive, in this paper, an exact formula for the autocorrelation function of a quantized sum of a deterministic signal and Gaussian noise. This result shows that if the voltage between quantizing levels is small compared to the rms noise voltage, the quantized autocorrelation function differs from the unquantized autocorrelation function by an error term of simple form. An example is included to illustrate the analysis.
Keywords :
Correlation functions; Quantization (signal); Signal quantization; Autocorrelation; Entropy; Fourier series; Gaussian noise; Mutual information; Noise level; Quantum dots; Voltage;
Journal_Title :
Information Theory, IEEE Transactions on
DOI :
10.1109/TIT.1965.1053732
