On The Design of Synchronous-Symmetric Channel-Hopping Sequences for Cognitive Radio Ad Hoc Wireless Networks

A family of synchronous-symmetric channel-hopping (CH) sequences for cognitive radio networks is constructed. The CH sequences satisfies the design criteria of channel overlap, even channel use, and full channel utilization. They also carry desirable properties of enlarged cardinality, optimal maximum-time-to-rendezvous (MTTR), full degree-of-rendezvous (DoR), and minimum channel competition. They achieve the unique full-channel-utilization-per-time-slot property and can support the largest number of users without creating channel collisions. Studies of performance metrics, such as rendezvous-success (RS) rate, show that the new CH sequences provide better balance and flexible choices between cardinality, DoR, MTTR, and RS rate than previous works.