Wang, Chih-Hong and Leong, Alex S. and Dey, Subhrakanti
(2011)
Distortion Outage Minimization and Diversity
Order Analysis for Coherent Multi-Access.
IEEE Transactions on Signal Processing, 59 (12).
pp. 6144-6159.
ISSN 1053-587X
Abstract
In this paper we investigate the distortion outage performance of distributed estimation schemes in wireless
sensor networks, where a distortion outage is defined as the event that the estimation error or distortion exceeds a
pre-determined threshold. The sensors transmit their observation signals using the analog amplify and forward
scheme through coherent multi-access channels to the fusion center, which reconstructs a minimum mean
squared error (MMSE) estimate of the physical quantity observed. We consider three power allocation schemes
- 1) equal power allocation (EPA), 2) short-term optimal power allocation (ST-OPA), where we minimize the
distortion subject to a power constraint at each time step, and 3) long-term optimal power allocation (LT-OPA),
where we minimize the distortion outage probability subject to a long-term average power constraint. We study
their diversity orders of distortion outage in terms of increasing numbers of sensors, and show that under
Rayleigh fading EPA and ST-OPA achieve the same diversity order of N logN, where N is the number of
sensors. This suggests that in the case of a large number of sensors, the spatial diversity gain in EPA can
overcome fading equally well as in ST-OPA. On the other hand, in LT-OPA, we find that for N > 1 the outage
probability can be driven to zero with a finite amount of total power.
| Item Type: |
Article
|
| Keywords: |
Distortion; Outage; Minimization; Diversity;
Analysis; Coherent Multi-Access; |
| Academic Unit: |
Faculty of Science and Engineering > Electronic Engineering |
| Item ID: |
12713 |
| Identification Number: |
https://doi.org/10.1109/TSP.2011.2165950 |
| Depositing User: |
Subhrakanti Dey
|
| Date Deposited: |
07 Apr 2020 09:05 |
| Journal or Publication Title: |
IEEE Transactions on Signal Processing |
| Publisher: |
Institute of Electrical and Electronics Engineers |
| Refereed: |
Yes |
| URI: |
|
| Use Licence: |
This item is available under a Creative Commons Attribution Non Commercial Share Alike Licence (CC BY-NC-SA). Details of this licence are available
here |
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