Title :
Robustness of Compressive Sensing under multiplicative perturbations: The challenge of fading channels
Author :
Daniel, H Chae ; Sadeghi, Parastoo ; Rodney, A Kennedy
Author_Institution :
Res. Sch. of Inf. Sci. & Eng., Australian Nat. Univ., Canberra, ACT, Australia
fDate :
Oct. 31 2010-Nov. 3 2010
Abstract :
We investigate the robustness of Compressive Sensing (CS) as a direct signal acquisition and reconstruction method at the wireless receiver in fading channels. The wireless channel introduces additive as well as multiplicative random perturbations to the received signal. The original CS theory considers only additive and bounded perturbations for signal reconstruction with an a priori known basis. However, the impact of multiplicative perturbations, which manifests itself as basis mismatch, on the CS reconstruction performance is largely unknown. In this paper we first formulate such multiplicative perturbations due to wireless fading channel in the CS acquisition and reconstruction problem. We then show that these perturbations can result in significant errors in signal reconstruction if the basis is not properly adjusted. Furthermore, we will propose a method for adjusting the elements of basis to the fading channel coefficients and discuss possible improvements in the signal reconstruction.
Keywords :
fading channels; perturbation techniques; signal reconstruction; compressive sensing; direct signal acquisition; multiplicative perturbation; multiplicative random perturbation; reconstruction method; robustness; signal reconstruction; wireless fading channel coefficient; wireless receiver; Dictionaries; Fading; Noise; Receivers; Transmitters; Wireless communication; Wireless sensor networks;
Conference_Titel :
MILITARY COMMUNICATIONS CONFERENCE, 2010 - MILCOM 2010
Conference_Location :
San Jose, CA
Print_ISBN :
978-1-4244-8178-1
DOI :
10.1109/MILCOM.2010.5680105