Application of dither injection to quantization
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The non-linearity in amplitude quantization can be smoothed by adding dither, or external noise-type signal to the input of a linear quantizer followed by an estimation filter. Although the optimum type of dither for a linear quantizer, or quantizer with uniform steps, is known to be one whose probability characteristic function must be band-limited in the "quantization frequency" domain, it is shown in this thesis that such a dither is physically unrealizable. In continuous or sampled-data systems with random inputs, one is often more interested in obtaining output averages and correlation estimates rather than finding the probability density of the input. In such cases the uniform density dither turns out to be optimum but not necessarily unique.Dithers with three types of probability densities, namely, uniformly distributed (triangular waveforms included), Gaussian and that of a sinusoidal waveform are examined and compared. The constraints and performances of these dithers are further investigated using a PDP-8 small computer and its peripheral equipment at Carleton. A 3-bit quantizer system with dithering is shown to yield performance comparable to that of a 7-bit quantizer.
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This work is available on request. You can request a copy at https://library.carleton.ca/forms/request-pdf-copy-thesis
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Copyright © 1971 the author(s). Theses may be used for non-commercial research, educational, or related academic purposes only. Such uses include personal study, research, scholarship, and teaching. Theses may only be shared by linking to Carleton University Institutional Repository and no part may be used without proper attribution to the author. No part may be used for commercial purposes directly or indirectly via a for-profit platform; no adaptation or derivative works are permitted without consent from the copyright owner.
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- 1971
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