On the Geometry and Quantization of Manifolds of Positive Semi-Definite Matrices Journal Article uri icon



  • The geometry of different spaces of positive semi-definite matrices buffeted by rank and trace constraints is studied. In addition to revealing their Riemannian structure, we derive the normalized volume of a ball over these spaces. Further, we use the leading coefficient from the ball volume expansion to bound the quantization error incurred with finite-sized sphere-packing codebooks as well as random codebooks to represent sources distributed over general Riemannian manifolds.

publication date

  • January 1, 2013

has restriction

  • closed

Date in CU Experts

  • February 3, 2018 6:11 AM

author count

  • 0

Other Profiles

International Standard Serial Number (ISSN)

  • 1053-587X

Additional Document Info

start page

  • 1

end page

  • 1


  • PP


  • 99