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» Lattices and Spherical Designs
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FIWAC
1993
153views Cryptology» more  FIWAC 1993»
13 years 10 months ago
New lower bounds for some spherical designs
A new method for obtaining lower bounds for spherical t-designs is proposed. Applications and new bounds are given for t = 9, 10. Some restrictions on the distribution of the inne...
Peter Boyvalenkov, Svetla Nikova
JCT
2011
104views more  JCT 2011»
13 years 1 months ago
Bounds for solid angles of lattices of rank three
We find sharp absolute constants C1 and C2 with the following property: every well-rounded lattice of rank 3 in a Euclidean space has a minimal basis so that the solid angle spann...
Lenny Fukshansky, Sinai Robins
TASLP
2010
113views more  TASLP 2010»
13 years 1 months ago
Spherical Harmonic Analysis of Wavefields Using Multiple Circular Sensor Arrays
Spherical harmonic decomposition of wavefields is not only an active problem in acoustic signal processing but also a useful tool in a plethora of applications such as 3D beamform...
Thushara D. Abhayapala, Aastha Gupta
DCC
2005
IEEE
14 years 6 months ago
A Note on the Tight Spherical 7-Design in R23 and 5-Design in R7*
In this note we prove the uniqueness of the tight spherical 7-design in R23 consisting of 4600 vectors and with automorphism group 2 ? Co2 as well as the uniqueness of the tight s...
Hans Cuypers