16,514 research outputs found
Gap sequences of 1-Weierstrass points on non-hyperelliptic curves of genus 10
In this paper, we compute the 1-gap sequences of 1-Weierstrass points on
non-hyperelliptic smooth projective curves of genus 10. Furthermore, the
geometry of such points is classified as flexes, sextactic and tentactic
points. Also, an upper bounds for their numbers are estimated.Comment: 12 page
Performance Analysis of Best Relaying Protocol Selection with Interferences at Relays
In this paper, we investigate the performance of selecting the best protocol between amplify and forward (AF) and decode and forward (DF) in multiple relay networks with multiple interferences at relays. In the selection scheme, the best protocol between AF and DF is selected depending on the comparisons of signal-to-interference and noise ratio (SINR) for all source-relay links. All relays measure the received SINR to decide forwarding signal or not. When SINR is above a certain threshold then DF is used otherwise AF is used. Particularly, we develop an accurate mathematical model for best relaying protocol by considering the effect of interferences to our scheme. Firstly, we derive the asymptotic closed form expression for the symbol error rate (SER) for the system under study. Also we derive an upper and lower bound of symbol error rate and show how they were tight with exact SER. Furthermore an approximate expression for the outage probability is derived. Numerical results are finally presented to validate the theoretical analysis with a different number of relays
- …