Capacity per Unit Energy of Fading Channels with a Peak Constraint

A discrete-time single-user scalar channel with temporally correlated Rayleigh fading is analyzed. There is no side information at the transmitter or the receiver. A simple expression is given for the capacity per unit energy, in the presence of a peak constraint. The simple formula of Verdu for capacity per unit cost is adapted to a channel with memory, and is used in the proof. In addition to bounding the capacity of a channel with correlated fading, the result gives some insight into the relationship between the correlation in the fading process and the channel capacity. The results are extended to a channel with side information, showing that the capacity per unit energy is one nat per Joule, independently of the peak power constraint. A continuous-time version of the model is also considered. The capacity per unit energy subject to a peak constraint (but no bandwidth constraint) is given by an expression similar to that for discrete time, and is evaluated for Gauss-Markov and Clarke fading channels.Comment: Journal version of paper presented in ISIT 2003 - now accepted for publication in IEEE Transactions on Information Theor

Family Planning Market in India

This literature review captures existing knowledge across a range of products and players in India's family planning market. The product scope covers condoms, oral contraceptive pills, injectable contraceptives, intra-uterine devices, and male and female sterilization.The broad reach of this analysis brings diverse perspectives together to provide a complete picture of the current state of the market. The review can be particularly useful for field practitioners, donors, and other players looking to understand the current state of discovery in the India family planning market

Reducing Youth Unemployment in South Africa

South Africa is faced with a crisis of high and rising youth unemployment. Throughout the country, only 1 in 3 young people of working age is employed. This distressing statistic not only plays out through the limited earnings potential and future prospects of these youth, but also emerges within stymied business growth and unsustainable pressure on governmental social programs. The solution will take action from a variety of sectors and actors in order to turn the tide.This report, funded by The Rockefeller Foundation, highlights two cross-sectoral partnerships—the EOH Youth Job Creation Initiative and the Mentec Foundation—that have seen success in placing these disadvantaged youth in jobs throughout South Africa. The report concludes with a table of recommendations for employers, training providers, philanthropic funders, and government officials to begin growing and replicating these efforts.Top TakeawaysThroughout their lives, youth within South Africa are put at an employment disadvantage due to inadequate education and recruiting systems. Despite an estimated 500,000 entry-level vacancies throughout the country, young people often lack the necessary problem-solving skills, business acumen, technological savvy, and communication skills needed for the workplace, and structures that would enable this on-the-job learning (training, mentoring, and coaching) are not standard practice for most workplaces.In order to place more youth in jobs, sectors can bring their unique skills to bear while complementing one another's efforts: government incentives can encourage employers to take calculated risks and reform HR practices; training providers can focus more on skills, including job-readiness skills, that are directly demanded by employers and work with these employers for placement; and funders can strategically deploy grants to such programs and collaboratives.Youth who participate in demand-driven training programs and are then hired into jobs become valuable staff in short order: the youth were more motivated to perform well and assimilated quickly to the work environment