Loading...
conference paper
The Effective Rank: A Measure of Effective Dimensionality
2007
European Signal Processing Conference (EUSIPCO)
Many signal processing algorithms include numerical problems where the solution is obtained by adjusting the value of parameters such that a specific matrix exhibits rank deficiency. Since rank minimization is generally not practicable owing to its integer nature, we propose a real-valued extension that we term effective rank. After proving some of its properties, the effective rank is provided with an operational meaning using a result on the coefficient rate of a stationary random process. Finally, the proposed measure is assessed in a practical scenario and other potential applications are suggested.
Loading...
Name
RoyV07.pdf
Access type
openaccess
Size
335.14 KB
Format
Adobe PDF
Checksum (MD5)
331dbbf39a840eaed88aa6cc9c9cf0bc