IMPROVING THE QUANTIZATION OF RANDOM SIGNALS BY DITHERING
RAND CORP SANTA MONICA CA
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A numerical solution to the practical problem of determining the effects of independent quantizer activators called dithers upon the statistical processing properties of the quantizer is presented. For the highly important sinusoidal and sawtooth dithers exact analysis yields for the first time answers, as functions of dither amplitude, to the question of what upper bounds does the dither impose on the following 1 correlation between the quantizer input and quantization noise, 2 value of the noise mean square, and 3 fidelity in the transmission of the mean square, mean fourth and other even moments of the input. The above information, which also comprises a theorem for the quantization of sinusoids and sawtooths, indicates that the rarely used saw tooth is superior to the sinusoid.