TY - GEN
T1 - Compressive-domain interference cancellation via orthogonal projection
T2 - 2012 IEEE Wireless Communications and Networking Conference, WCNC 2012
AU - Chang, Ling Hua
AU - Wu, Jwo-Yuh
PY - 2012/8/1
Y1 - 2012/8/1
N2 - Knowledge of the achievable restricted isometry constant (RIC) of the sensing matrix is crucial for assessing the signal reconstruction performance of compressive sensing systems. In this paper we consider compressive-domain interference cancellation via orthogonal projection, and study the achievable RIC of the effective sensing matrix, namely, the product of the orthogonal projection matrix and the original sensing matrix. While existing algebraic based methods resorted to the polarization identity to find an upper bound of the considered RIC, motivated by geometric interpretations of the orthogonal projection and the restricted isometry property we derive an improved RIC in a closed form. The proposed solution is shown to be tighter than the existing upper bound. Our analytical results, and the asserted performance advantages, are further evidenced via computer simulations.
AB - Knowledge of the achievable restricted isometry constant (RIC) of the sensing matrix is crucial for assessing the signal reconstruction performance of compressive sensing systems. In this paper we consider compressive-domain interference cancellation via orthogonal projection, and study the achievable RIC of the effective sensing matrix, namely, the product of the orthogonal projection matrix and the original sensing matrix. While existing algebraic based methods resorted to the polarization identity to find an upper bound of the considered RIC, motivated by geometric interpretations of the orthogonal projection and the restricted isometry property we derive an improved RIC in a closed form. The proposed solution is shown to be tighter than the existing upper bound. Our analytical results, and the asserted performance advantages, are further evidenced via computer simulations.
KW - Compressive sensing
KW - interference cancellation
KW - restricted isometry constant (RIC)
KW - restricted isometry property (RIP)
UR - http://www.scopus.com/inward/record.url?scp=84864353766&partnerID=8YFLogxK
U2 - 10.1109/WCNC.2012.6214232
DO - 10.1109/WCNC.2012.6214232
M3 - Conference contribution
AN - SCOPUS:84864353766
SN - 9781467304375
T3 - IEEE Wireless Communications and Networking Conference, WCNC
SP - 256
EP - 261
BT - 2012 IEEE Wireless Communications and Networking Conference, WCNC 2012
Y2 - 1 April 2012 through 4 April 2012
ER -