Browsing by Subject "Novel techniques"
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Item Open Access Large bandwidth mode order converter by differential waveguides(Optical Society of American (OSA), 2015) Oner, B.B.; Üstün, K.; Kurt H.; Okyay, Ali Kemal; Turhan-Sayan G.In this article, we propose a large bandwidth mode-order converter design by dielectric waveguides with equal lengths but different cross-sectional areas. The efficient conversion between even and odd modes is verified by inducing required phase difference between the equal length waveguides of different widths. Y-junctions are composed of both tapered mode splitter and combiner to connect mono-mode waveguide to multi-mode waveguide. The converted mode profiles at the output port show that the device operates successfully at designed wavelengths with wide bandwidth. This study provides a novel technique to implement compact mode order converters and direction selective/sensitive photonic structures. © 2015 Optical Society of America.Item Open Access A novel technique for a linear system of equations applied to channel equalization(IEEE, 2009) Pilancı, Mert; Arıkan, Orhan; Oǧuz, B.; Pınar, Mustafa Ç.In many inverse problems of signal processing the problem reduces to a linear system of equations. Accurate and robust estimation of the solution with errors in both measurement vector and coefficient matrix is a challenging task. In this paper a novel formulation is proposed which takes into account the structure (e.g. Toeplitz, Hankel) and uncertainties of the system. A numerical algorithm is provided to obtain the solution. The proposed technique and other methods are compared in a channel equalization example which is a fundamental necessity in communication.Item Open Access Polar compressive sampling: A novel technique using polar codes(IEEE, 2010) Pilancı, Mert; Arıkan, Orhan; Arıkan, ErdalRecently introduced Polar coding is the first practical coding technique that can be proven to achieve the Shannon capacity for a multitude of communication channels. Polar codes are close to Reed-Muller codes except the fact that they are tuned for the parameters of the channel. Hence, Polar codes are shown to offer better performance, e.g., in the erasure channel. It is known that second order Reed-Muller codes can be used for Compressed Sensing. Inspired by that result, we propose Polar codes as measurement matrices in CS and compare their numerical performances. We also present the algebraic relation between the erasure channel and CS theory, and discuss fast solution techniques. ©2010 IEEE.