Wannamaker, R.A. "The Mathematical Theory of Dithered
Quantization," Ph.D. Thesis, Dept. of Applied Mathematics, Univ. of Waterloo,
Waterloo, ON, 1997 Jul.
A detailed mathematical model is presented for the
analysis of multibit quantizing systems. Dithering is examined as a means for
eliminating signal-dependent quantization errors, and subtractive and non-subtractive
dithered systems are thoroughly explored within the established theoretical framework.
Of primary interest are the statistical interdependences of signals in dithered
systems and the spectral properties of the total error produced by such systems.
Regarding dithered systems, many topics of practical
interest are explored. These include the use of spectrally shaped dithers, dither
in noise-shaping systems, the efficient generation of multi-channel dithers,
and the uses of discrete-valued dither signals.
The complete dissertation
as a PDF file (1068 KB).