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» Lattices and Spherical Designs
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FIWAC
1993
153views Cryptology» more  FIWAC 1993»
13 years 9 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 7 days 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 11 hour 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 4 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