Random Filters for Compressive Sampling
This paper discusses random filtering, a recently proposed method for directly acquiring a compressed version of a digital signal. The technique is based on convolution of the signal with a fixed FIR filter having random taps, followed by downsampling. Experiments show that random filtering is effective at acquiring sparse and compressible signals. This process has the potential for implementation in analog hardware, and so it may have a role to play in new types of analog/digital converters.
© Copyright 2006 IEEE. Reprinted with permission. [Posted online: 2007-01-22] I wish to thank Mike Wakin, Marco Duarte, Dror Baron, and Rich Baraniuk for permission to discuss our joint work.