Signature Maximization in Designing Wireless Binary Pyroelectric Sensors

This paper explores the segmentation of a monitoring space generated by binary pyroelectric sensors and reference structure. Each segment in the monitoring space can be identified by a state of a family of binary sensors, called a signature. In this paper, we show that the maximum number of signatures in a sensor network with n binary sensors is 2ⁿ and that it can be achieved by n modulators under a defined procedure and one assumption. Furthermore, we prove that the maximum number of signatures can be achieved in a sensor network with n binary sensors without the constraint of the number of modulators. Finally, we explore the signature combination for several simple cases.