Adjacency matrix-based transmit power allocation strategies in wireless sensor networks.

Area of Science:

• Computer Science
• Electrical Engineering
• Network Engineering

Background:

• Wireless Sensor Networks (WSNs) commonly employ Carrier Sense Multiple Access with Collision Avoidance (CSMA/CA) for medium access control.
• Optimizing transmit power is crucial for efficient WSN operation, impacting packet error rates and network performance.

Purpose of the Study:

• To develop an innovative transmit power control scheme for WSNs using optimization theory.
• To minimize packet error rate (PER) at the access point (AP) under finite power and low traffic load assumptions.

Main Methods:

• Modeling the CSMA/CA MAC protocol using a finite state machine.
• Deriving an optimal transmit power allocation strategy based on network adjacency matrix and connectivity.
• Formulating the power allocation problem as a convex constrained minimization problem.

Main Results:

• The optimal transmit power allocation strategy minimizes PER at the AP.
• Under low traffic load, minimal delay is achieved by maximizing network connectivity.
• Maximizing connectivity is equivalent to maximizing the number of non-zero entries in the network adjacency matrix.

Conclusions:

• The proposed transmit power control scheme effectively minimizes PER in WSNs.
• Maximizing network connectivity is key to achieving minimal delay in low-traffic WSNs.
• Theoretical findings are validated through simulations on unslotted Zigbee WSNs.