Applied Harmonic Analysis and Sparse Approximation

Efficiently analyzing functions, in particular multivariate functions, is a key problem in applied mathematics. The area of applied harmonic analysis has a significant impact on this problem by providing methodologies both for theoretical questions and for a wide range of applications in technology and science, such as image processing. Approximation theory, in particular the branch of the theory of sparse approximations, is closely intertwined with this area with a lot of recent exciting developments in the intersection of both. Research topics typically also involve related areas such as convex optimization, probability theory, and Banach space geometry. The workshop was the continuation of a first event in 2012 and intended to bring together world leading experts in these areas, to report on recent developments, and to foster new developments and collaborations

Hadamard Coded Modulation for Wavelet based Radio Over Fiber Networks

With the advancements in the technology of communication, there has been an increase in demand of higher data rates for the services such as voice, multimedia and data over both wired and wireless links. Therefore there is the requirement of new modulation schemes to transfer the large amount of data that existing techniques may not be capable of supporting in future. OFDM so far has resulted in good performance on the implementation level but, these techniques must be able to provide high data rate, allowable Bit Error Rate (BER), and minimum delay. In this paper, PAPR, CCDF of OFDM is implemented using wavelet transform based Hadamard Coded Modulation (HCM) and discusses relationship between them for RoF networks. This paper also presents comparison of OFDM and DWT-HCM BER performance for different SNR values