DocumentCode :
934660
Title :
The hexagon theorem
Author :
Newman, Donald J.
Volume :
28
Issue :
2
fYear :
1982
fDate :
3/1/1982 12:00:00 AM
Firstpage :
137
Lastpage :
139
Abstract :
We wish to 
the unit square, over all choices of 
which take just n values. For large n it is shown that approaches that function which on each face of a "hexagonal mesh" has the value of the centroid of that face. This problem in the design of quantizers for a pulse-code modulation (PCM) system arose in which pairs of adjacent samples are quantized in an effort to capitalize on the correlation between samples and on the geometry of the plane.
the unit square, over all choices of which take just n values. For large n it is shown that approaches that function which on each face of a "hexagonal mesh" has the value of the centroid of that face. This problem in the design of quantizers for a pulse-code modulation (PCM) system arose in which pairs of adjacent samples are quantized in an effort to capitalize on the correlation between samples and on the geometry of the plane.Keywords :
Optimization methods; PCM communication; Quantization (signal); Signal quantization; Filtering; Geometry; Least squares methods; Mathematics; Phase change materials; Pulse modulation; Random variables; Sampling methods; Signal processing; Statistics;
fLanguage :
English
Journal_Title :
Information Theory, IEEE Transactions on
Publisher :
ieee
ISSN :
0018-9448
Type :
jour
DOI :
10.1109/TIT.1982.1056492
Filename :
1056492
Link To Document :
