Name
Title | ||
|---|---|---|
Regularized signal reconstruction for level-crossing sampling using Slepian functions |
Abstract | ||
|---|---|---|
In this paper, we propose a method for efficient signal reconstruction from non-uniformly spaced samples collected using level-crossing sampling. Level-crossing (LC) sampling captures samples whenever the signal crosses predetermined quantization levels. Thus the LC sampling is a signal-dependent, non-uniform sampling method. Without restriction on the distribution of the sampling times, the signal reconstruction from non-uniform samples becomes ill-posed. Finite-support and nearly band-limited signals are well approximated in a low-dimensional subspace with prolate spheroidal wave functions (PSWF) also known as Slepian functions. These functions have finite support in time and maximum energy concentration within a given bandwidth and as such are very appropriate to obtain a projection of those signals. However, depending on the LC quantization levels, whenever the LC samples are highly non-uniformly spaced obtaining the projection coefficients requires a Tikhonov regularized Slepian reconstruction. The performance of the proposed method is illustrated using smooth, bursty and chirp signals. Our reconstruction results compare favorably with reconstruction from LC-sampled signals using compressive sampling techniques. |
Year | DOI | Venue |
|---|---|---|
2012 | 10.1016/j.sigpro.2011.11.017 | Signal Processing |
Keywords | Field | DocType |
signal reconstruction,regularized signal reconstruction,non-uniform sampling method,level-crossing sampling,tikhonov regularized slepian reconstruction,reconstruction result,compressive sampling technique,lc sampling,lc quantization level,efficient signal reconstruction,sampling time,slepian function,tikhonov regularization,compressive sampling | Tikhonov regularization,Mathematical optimization,Subspace topology,Bandwidth (signal processing),Chirp,Sampling (statistics),Quantization (signal processing),Mathematics,Compressed sensing,Signal reconstruction | Journal |
Volume | Issue | ISSN |
92 | 4 | 0165-1684 |
Citations | PageRank | References |
9 | 0.59 | 17 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Seda Senay | 1 | 65 | 6.99 |
| Jinsung Oh | 2 | 32 | 4.91 |
| Luis F. Chaparro | 3 | 276 | 29.37 |