Interim Report, Grant AFOSR-81-0047, 1 October 1981 to 30 September 1982,
TEXAS UNIV AT AUSTIN
Pagination or Media Count:
Much of our work during the previous grant year was concerned with quantization theory. Quantization forms the heart of analog to digital conversion and it is a key element in virtually all of digital signal processing. Although quantization theory has been a subject of interest for many years, much remains to be done in this area. The difficulty in this area is compounded by the fact that some of the commonly held beliefs are actually misconceptions. For example, it has often been assumed in the literature that in the scalar case a minimum mean squared error optimum quantizer for a symmetrically distributed random variable will be symmetric i.e. the quantization levels will be symmetrically distributed about the origin.
- Numerical Mathematics