Source and Channel Coding Strategies for Wireless Sensor Networks Page: 29
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Transmitter VFC
L
Figure 4.1. Phase 1: Intra-cluster broadcasting
Transmitting Cluster VFC
Random Beamforming
KndsM nodes
K nodes
(Antennas)
Figure 4.2. Phase II: Random beamforming between a cluster and VFC
for communicating their observations to the VFC is Protai. The transmission occurs in two
phases as described below.
Intra-cluster Broadcasting. During the first phase, each sensor broadcasts its observations
to all other nodes in the same cluster with certain power. Assume that all nodes decode the
received data simultaneously [47]. Half-duplexing transmission is assumed in this phase, where
all the nodes in cluster can not send and receive at the same time on the same frequency.
The total power used for all nodes to accomplish broadcasting (each node using one time
unit to broadcast) is P1. Therefore, the number of cooperative nodes, K, in each cluster
depends on the selection of P1.
Random Beamforming between a Cluster and VFC. During this phase, all nodes in the
cluster will transmit the data they aggregated to the VFC using total power P2, and the com-
plete transmission process takes one time unit. I propose a random beamforming technique
during this phase with a transmit power for each cooperative node set to be a;. I pre-multiply
the input vector with a beamforming matrix Vb consisting of K x K number of complex num-29
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Li, Li. Source and Channel Coding Strategies for Wireless Sensor Networks, dissertation, December 2012; Denton, Texas. (https://digital.library.unt.edu/ark:/67531/metadc177226/m1/39/: accessed March 28, 2024), University of North Texas Libraries, UNT Digital Library, https://digital.library.unt.edu; .