Paper Info
Title
Using 2: 1 Shannon Mapping for Joint Source-Channel Coding
Abstract
The Archimedes' spiral can be used as a 2:1 bandwidth reducing mapping in a joint source-channel coding (JSCC) system. The combined point of two iid Gaussian sources (the source space) is mapped, or approximated, onto a double Archimedes' spiral (the codebook), and the squared angle from the origin to the mapped point is transmitted as an analogue channel symbol (the channel space), e.g. PAM. It is shown that the total distortion of this JSCC system is minimised when the distortion contributions from the approximation noise and channel noise are equal. The given system produces a channel input distribution close to a laplace probability density function (pdf) instead of the optimal Gaussian pdf. The loss when using this mismatched pdf is shown to be approximately equal to the relative entropy of the two pdf's.
Year
DOI
Venue
2005
10.1109/DCC.2005.92
DCC
Keywords
Field
DocType
shannon mapping,analogue channel symbol,distortion contribution,optimal gaussian pdf,jscc system,channel space,channel noise,approximation noise,channel input distribution close,combined point,joint source-channel coding,mismatched pdf,codebook,communication systems,relative entropy,rate distortion theory,bandwidth,channel capacity,channel coding,archimedes spiral,probability density function,gaussian distribution,spirals,space technology,entropy
Artificial intelligence,Distortion,Channel capacity,Rate–distortion theory,Computer vision,Mathematical optimization,Binary erasure channel,Shannon–Hartley theorem,Algorithm,Shannon's source coding theorem,Gaussian,Additive white Gaussian noise,Mathematics
Conference
ISSN
ISBN
Citations 
1068-0314
0-7695-2309-9
23
PageRank 
References 
Authors
2.02
2
3
Name
Order
Citations
PageRank
Fredrik Hekland11458.96
Geir E. Øien238143.38
Tor A. Ramstad323625.99