Source and Channel Coding Strategies for Wireless Sensor Networks Page: 50
View a full description of this dissertation.
Extracted Text
The following text was automatically extracted from the image on this page using optical character recognition software:
inter-cluster phase. The system outage probability is given by
2Rc -- i
(56) Pout- P(lHcfVbl2 < 2R)f
P-2
ncf
which I use as a performance measure for the proposed system. System optimization requires
us to find the optimum power allocation strategy for the system to minimize this outage
probability.
5.3.2. Optimum Power Allocation Strategy
In this section, I discuss an optimum power allocation strategy for the proposed system.
The discussion is divided into two parts: broadcasting and random beamforming.
In the intra-cluster phase, I assume that the broadcast rate for all the nodes in the
cluster is the same and can be represented as Rsc. Each node will broadcast its data to all
other nodes. According to Shannon limit, when
P1
(57) Rsc < Iog2(1 + ,
K07
sc
the receiver is expected to reconstruct the source correctly, where o represents noise on
the broadcast channel. The inequality of (57) can also be rewritten as,
(58) P1 > K(2Rsc- 1)u2
-- nsc
which shows the lower bound on power used for broadcasting (Pi) for reliable transmission.
I choose P1 and Rsc such that they satisfy (58). Therefore, there is no outage during
broadcasting.
Given two statistically independent random variables X and Y, the distribution of the
random variable Z that is formed as the product Z = XY [49]. Therefore, in the inter-cluster
phase, given that Hcf ~ (0, /) and Vb ~ U(0, /), HcfVb ~ PDF of Hcf x PDF of Vb
PDF of Hcf, thus, HcfVb A(0, /), and HcfVb 2 x(2 (Chi-Square distributed random50
Upcoming Pages
Here’s what’s next.
Search Inside
This dissertation can be searched. Note: Results may vary based on the legibility of text within the document.
Tools / Downloads
Get a copy of this page or view the extracted text.
Citing and Sharing
Basic information for referencing this web page. We also provide extended guidance on usage rights, references, copying or embedding.
Reference the current page of this Dissertation.
Li, Li. Source and Channel Coding Strategies for Wireless Sensor Networks, dissertation, December 2012; Denton, Texas. (https://digital.library.unt.edu/ark:/67531/metadc177226/m1/60/: accessed April 25, 2024), University of North Texas Libraries, UNT Digital Library, https://digital.library.unt.edu; .