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    On the error in phase transition computations for compressed sensing

    , Article IEEE Transactions on Information Theory ; Volume 65, Issue 10 , 2019 , Pages 6620-6632 ; 00189448 (ISSN) Daei, S ; Haddadi, F ; Amini, A ; Lotz, M ; Sharif University of Technology
    Institute of Electrical and Electronics Engineers Inc  2019
    Evaluating the statistical dimension is a common tool to determine the asymptotic phase transition in compressed sensing problems with Gaussian ensemble. Unfortunately, the exact evaluation of the statistical dimension is very difficult and it has become standard to replace it with an upper-bound. To ensure that this technique is suitable, [1] has introduced an upper-bound on the gap between the statistical dimension and its approximation. In this work, we first show that the error bound in [1] in some low-dimensional models such as total variation and ell _{1} analysis minimization becomes poorly large. Next, we develop a new error bound which significantly improves the estimation gap... 

    Solving Nonlinear Systems of Mixed Iqualities and Inequalities Via Trust Region Quadratic Methods

    , M.Sc. Thesis Sharif University of Technology Ghasemi, Shojaeddin (Author) ; Razvan, Mohammad Reza (Supervisor) ; Payghami, Mohammad Reza (Supervisor)

    MIMO radar waveform design in the presence of clutter

    , Article IEEE Transactions on Aerospace and Electronic Systems ; Volume 47, Issue 2 , 2011 , Pages 770-781 ; 00189251 (ISSN) Naghibi, T ; Behnia, F ; Sharif University of Technology
    Waveform design for target identification and classification in multiple-input multiple-output (MIMO) radar systems has been studied in several recent works. In previous works, optimal signals for an estimation algorithm are found assuming that only signal- independent noise exists. This work extends previous research by studying the case where clutter is also present. We develop a procedure to design the optimal waveform which minimizes estimation error at the output of the minimum mean squared error (MMSE) estimators in two scenarios. In the first one different transmit antennas see uncorrelated aspects of the target, and we consider the correlated target aspects in the second one....