TY - GEN
T1 - Bounds on space-time-frequency dimensionality
AU - Hanlen, Leif W.
AU - Abhayapala, Thushara D.
PY - 2007
Y1 - 2007
N2 - We bound the number of electromagnetic signals which may be observed over a frequency range 2W for a time T within a region of space enclosed by a radius R. Our result implies that broadband fields in space cannot be arbitrarily complex: there is a finite amount of information which may be extracted from a region of space via electromagnetic radiation. Three-dimensional space allows a trade-off between large carrier frequency and bandwidth. We demonstrate applications in super-resolution and broadband communication.
AB - We bound the number of electromagnetic signals which may be observed over a frequency range 2W for a time T within a region of space enclosed by a radius R. Our result implies that broadband fields in space cannot be arbitrarily complex: there is a finite amount of information which may be extracted from a region of space via electromagnetic radiation. Three-dimensional space allows a trade-off between large carrier frequency and bandwidth. We demonstrate applications in super-resolution and broadband communication.
UR - http://www.scopus.com/inward/record.url?scp=51649096623&partnerID=8YFLogxK
M3 - Conference contribution
SN - 1424407419
SN - 9781424407415
T3 - 8th Australian Communication Theory Workshop, AusCTW 2007
SP - 144
EP - 149
BT - 8th Australian Communication Theory Workshop, AusCTW 2007
T2 - 8th Australian Communication Theory Workshop, AusCTW 2007
Y2 - 5 February 2007 through 7 February 2007
ER -