On the hopping pattern design for D2D Discovery

The hopping pattern for D2D Discovery are investi- gated. We propose three metrics for hopping pattern performance evaluation: column period, maximal collision ratio, maximal con- tinual collision number. A class of hopping patterns is constructed based on the metrics, and through simulation the patterns show better discovery performance

On the hopping pattern design for D2D discovery with invariant

In this paper, we focus on the hopping pattern design for device-to-device (D2D) discovery. The requirements of hopping pattern is discussed, where the impact of specific system constraints, e.g., frequency hopping, is also taken into consideration. Specifically speaking, we discover and utilize the novel feature of resource hopping, i.e., "hopping invariant" to design four new hopping patterns and analyze their performance. The hopping invariant can be used to deliver information for specific users without extra radio resources, and due to the connection between hopping invariant and resource location, receiver complexity can be significantly reduced. Furthermore, our schemes are designed to be independent of discovery frame number, which makes them more suitable to be implemented in practical systems

Bioglass®-derived glass-ceramic scaffolds for bone tissue engineering

Imperial Users onl

On the ratio of the sum of divisors and Euler’s totient function II

We find the form of all solutions to ø(n) | σ(n) with three or fewer prime factors, except when the quotient is 4 and n is even