Practical Spectrum Aggregation for Secondary Networks with Imperfect Sensing

We investigate a collision-sensitive secondary network that intends to opportunistically aggregate and utilize spectrum of a primary network to achieve higher data rates. In opportunistic spectrum access with imperfect sensing of idle primary spectrum, secondary transmission can collide with primary transmission. When the secondary network aggregates more channels in the presence of the imperfect sensing, collisions could occur more often, limiting the performance obtained by spectrum aggregation. In this context, we aim to address a fundamental query, that is, how much spectrum aggregation is worthy with imperfect sensing. For collision occurrence, we focus on two different types of collision: one is imposed by asynchronous transmission; and the other by imperfect spectrum sensing. The collision probability expression has been derived in closed-form with various secondary network parameters: primary traffic load, secondary user transmission parameters, spectrum sensing errors, and the number of aggregated sub-channels. In addition, the impact of spectrum aggregation on data rate is analysed under the constraint of collision probability. Then, we solve an optimal spectrum aggregation problem and propose the dynamic spectrum aggregation approach to increase the data rate subject to practical collision constraints. Our simulation results show clearly that the proposed approach outperforms the benchmark that passively aggregates sub-channels with lack of collision awareness.

The Effects of Social Class and Ethnicity on Gender Differences in GCSE Attainment: A Secondary Analysis of the Youth Cohort Study of England and Wales 1997-2001

This article is based upon a secondary analysis of the Youth Cohort Study of England and Wales 1998 and examines the effects of social class and ethnicity on gender differences in GCSE attainment for those who left school in 1997 (n = 14,662). The article shows that both social class and ethnicity exert a far greater influence on the GCSE performance of boys and girls than gender. Moreover, the article also shows that an interaction effect is present between social class and gender and also between ethnicity and gender in relation to their impact upon GCSE attainment. More specifically, the findings suggest that a strong correlation exists such that the lower the overall levels of educational attainment for any group (whether that group is defined in terms of social class or ethnicity), the higher the gender differences that exist between those within that group.