Now showing items 1-20 of 35

    • Approximate MLFMA as an efficient preconditioner 

      Malas, Tahir; Ergül, Özgür; Gürel, Levent (IEEE, 2007)
      In this work, we propose a preconditioner that approximates the dense system operator. For this purpose, we develop an approximate multilevel fast multipole algorithm (AMLFMA), which performs a much faster matrix-vector ...
    • Calculation of the scalar diffraction field from curved surfaces by decomposing the three-dimensional field into a sum of Gaussian beams 

      Şahin, E.; Onural, L. (Optical Society of America, 2013)
      We present a local Gaussian beam decomposition method for calculating the scalar diffraction field due to a twodimensional field specified on a curved surface. We write the three-dimensional field as a sum of Gaussian beams ...
    • Capacity bounds for an ultra-wideband channel model 

      Arıkan, Erdal (IEEE, 2004-10)
      There is an ongoing effort by the IEEE 802.15.3a subcommittee to reach a UWB personal area network standard. We estimate the achievable rates for such networks using a channel model specified by the same group. The analysis ...
    • Compressive sampling and adaptive multipath estimation 

      Pilancı, Mert; Arıkan, Orhan (IEEE, 2010)
      In many signal processing problems such as channel estimation and equalization, the problem reduces to a linear system of equations. In this proceeding we formulate and investigate linear equations systems with sparse ...
    • Computing moments of first passage times to a subset of states in Markov chains 

      Dayar T.; Akar, N. (SIAM, 2005)
      This paper presents a relatively efficient and accurate method to compute the moments of first passage times to a subset of states in finite ergodic Markov chains. With the proposed method, the moment computation problem ...
    • Continuous and discrete fractional fourier domain decomposition 

      Yetik, İ. Şamil; Kutay, M. A.; Özaktaş, H.; Özaktaş, Haldun M. (IEEE, 2000)
      We introduce the fractional Fourier domain decomposition for continuous and discrete signals and systems. A procedure called pruning, analogous to truncation of the singular-value decomposition, underlies a number of ...
    • Controller redesign for delay margin improvement 

      Gündeş, A. N.; Özbay, Hitay (Elsevier, 2020-01)
      Two important design objectives in feedback control are steady-state error minimization and delaymargin maximization. For many practical systems it is not possible to have infinite delay margin andzero steady state error ...
    • Cost-efficient approximation of linear systems with repeated and multi-channel filtering configurations 

      Kutay, Mehmet Alper; Erden, M. F.; Özaktaş, Haldun M.; Arıkan, Orhan; Candan, Ç.; Güleryüz, Ö. (IEEE, 1998-05)
      It is possible to obtain either exact realizations or useful approximations of linear systems or matrix-vector products arising in many different applications, by synthesizing them in the form of repeated or multi-channel ...
    • Delay margin optimization for systems with ınternal delayed feedback 

      Özbay, Hitay (Elsevier, 2021-07-16)
      In this brief paper, controller design for delay margin optimization is considered for systems with internal feedback delays (systems with delays in the state variables). Similar to existing results on delay margin ...
    • An effective preconditioner based on schur complement reduction for integral-equation formulations of dielectric problems 

      Malas, Tahir; Gürel, Levent (IEEE, 2009)
      The author consider effective preconditioning of recently proposed two integral-equation formulations for dielectrics; the combined tangential formulation (CTF) and the electric and magnetic current combined-field integral ...
    • Electromagnetic modeling of split-ring resonators 

      Gürel, Levent; Ünal, Alper; Ergül, Özgür (IEEE, 2007)
      In this paper, we report our efforts to model splitring resonators (SRRs) and their large arrays accurately and efficiently in a sophisticated simulation environment based on recent advances in the computational electromagnetics. ...
    • Ellipsoid genişletmeyle seyrek sinyal geri oluşturma 

      Gürbüz, A. C.; Pilancı, M.; Arıkan, Orhan (IEEE, 2011-04)
      Bu makalede b = Ax + n şeklinde gürültülü A’nın tam rank ve x’in seyrek olduğu doğrusal bir denklem sistemi için seyrek x sinyallerini doğru olarak geri oluşturmaya yönelik yeni bir yöntem sunulmuştur. Önerilen yöntem ...
    • The fractional Fourier domain decomposition 

      Kutay, M. A.; Özaktaş, H.; Özaktaş, Haldun M.; Arıkan, Orhan (Elsevier, 1999)
      We introduce the fractional Fourier domain decomposition. A procedure called pruning, analogous to truncation of the singular-value decomposition, underlies a number of potential applications, among which we discuss fast ...
    • H∞ filter design for vehicle tracking under delayed and noisy measurements 

      Ezercan, Sami; Özbay, Hitay (IEEE, 2007-06)
      In many intelligent vehicles applications tracking plays an important role. This paper considers tracking of a vehicle under delayed and noisy measurements. For this purpose we design an H∞ optimal filter for linear systems ...
    • Incomplete LU preconditioning for the electric-field integral equation 

      Malas, Tahir; Gürel, Levent (, 2006)
      Linear systems resulting from the electric-field integral equation (EFIE) become ill-conditioned, particularly for large-scale problems. Hence, effective preconditioners should be used to obtain the iterative solution with ...
    • Inverse optimal control and positive real systems 

      Ünal Yılmaz (Bilkent University, 1997)
      In this thesis an inverse optimal control problem for constant output feedbacks is investigated. Necessary and sufficient conditions for optimality of an output feedback are derived for single-input, single-output systems. ...
    • Measurement strategies for input estimation in linear systems 

      Özçelikkale, Ayça; Özaktaş, Haldun M.; Arıkan, Erdal (IEEE, 2007)
      In this work, we present a mathematical approach for some of the measurement problems arising in optics, which is also applicable to other contexts. We see the measurement problem as the problem of determining the best ...
    • Model based anticontrol of discrete-time systems 

      Morgül, Ömer (IEEE, 2003)
      We will consider a model-based approach for the anticontrol of some discrete-time systems. We first assume the existence of a chaotic model in an appropriate form. Then by using an appropriate control input we try to match ...
    • Nonlinear laser lithography for indefinitely large-area nanostructuring with femtosecond pulses 

      Öktem, B.; Pavlov, I.; Ilday, S.; Kalaycıoǧlu, H.; Rybak, A.; Yavaş, S.; Erdoǧan, M.; Ilday F. Ö. (Nature publishing group, 2013)
      Dynamical systems based on the interplay of nonlinear feedback mechanisms are ubiquitous in nature. Well-understood examples from photonics include mode locking and a broad class of fractal optics, including self-similarity. ...
    • A novel technique for a linear system of equations applied to channel equalization 

      Pilancı, Mert; Arıkan, Orhan; Oǧuz, B.; Pınar, Mustafa Ç. (IEEE, 2009)
      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 ...