Finding zero points for maximal monotone operator is a very active topic in different branches of mathematical and engineering sciences since many physically significant problems can be ultimately converted to it. Con...
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ISBN:
(纸本)0780390911
Finding zero points for maximal monotone operator is a very active topic in different branches of mathematical and engineering sciences since many physically significant problems can be ultimately converted to it. Consequently, considerable research efforts have been devoted, especially within the past 20 years or so, to the study of iterative algorithms of zero points for maximal monotone operators. By now, there already exist some algorithms, such as proximal point algorithm, hybrid algorithm and regularity algorithm, etc. But all those methods are not quite enough to deal with problems defined in a more general space. In this paper, a new iterative algorithm with errors is introduced which is proved to be weakly convergent to zero point of maximal monotone operator by using some techniques of Lyapunov functional and generalized projection operator, etc. Moreover, some applications of the new algorithm are demonstrated. One of it is to solve a kind of variational inequalities which play a significant role in economics, finance, transportation, elasticity, optimization and structural analysis, etc. The other is to find a minimizer of a given convex function, which is also a very important topic in applied mathematics.
In-line holography is a simple approach for high resolution imaging. It has been extensively investigated due to it can effectively utilize the space-bandwidth of the digital recording instrument, such as CCD or CMOS....
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ISBN:
(纸本)0819458562
In-line holography is a simple approach for high resolution imaging. It has been extensively investigated due to it can effectively utilize the space-bandwidth of the digital recording instrument, such as CCD or CMOS. However, since the fact that the reference wave and the object wave are overlapped during the hologram was recorded, the reconstructed image is blurred by the ghost image. This shortcoming limits the applications of the in-line holography. Therefore, an effective reconstruction algorithm is important for generalizing the application of the in-line holography. In this presentation, some approaches based on the iterative phase retrieval algorithms are reported for in-line holograms reconstruction. Firstly, the YG algorithm and the GS algorithm are used to reconstruct pure absorption object from their in-line holograms, respectively. The differences between these two algorithms on in-line hologram reconstruction are analyzed. Then the GS algorithm is extended to reconstruct whole optical field form double or multiple holograms. At last, a new approach for reconstructing object from a hologram series is presented. Experimental results show that all these methods can reconstruct original object well.
In nonparametric complex spectral estimation, higher resolution is achieved when the covariance matrix is allowed to be rank-deficient. Several approaches are applied to remedy matrix singularity, such as diagonal loa...
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ISBN:
(纸本)9781479921867
In nonparametric complex spectral estimation, higher resolution is achieved when the covariance matrix is allowed to be rank-deficient. Several approaches are applied to remedy matrix singularity, such as diagonal loading, rank reduction and additional constraints. Conventional solution of the optimal Capon filter is derived from the gradient functions of the constraint minimization problem, and calculated via the input covariance matrix inversion. In this paper, the gradient functions are reformulated as a single one with the same solution, which is solved by an adaptive-step algorithm based on conjugate gradient method. The optimal Capon filter is iteratively calculated without any matrix inversion. The proposed algorithm is also directly applied to the computation of the optimal Capon filter with rank-deficient input covariance matrix. In simulations, performances of the proposed algorithm are compared with the existing methods. Higher convergence speed is achieved. The iteration number is selected to offset the frequency resolution and the signal mismatch problem.
A Holographic-QR (H-QR) code is a hologram numerically generated from a QR code pattern. When an H-QR hologram is illuminated by a coherent beam, the QR code it represents will be reconstructed as a visually observabl...
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ISBN:
(纸本)9781479966493
A Holographic-QR (H-QR) code is a hologram numerically generated from a QR code pattern. When an H-QR hologram is illuminated by a coherent beam, the QR code it represents will be reconstructed as a visually observable image. A H-QR code is less sensitive to damage than the classical QR code, but is still unreadable if the defective area is too extensive. In this paper, we propose a fast method to further strengthen the resiliency of the H-QR code to large scale damage. Experimental evaluation demonstrates that with our proposed algorithm, a QR code can be fully reconstructed from a H-QR hologram that has been damaged in over 50% of its area.
In this paper, the convergence characterization of a special implicit iterative algorithm with a tuning parameter for continuous coupled Markov jump Lyapunov matrix equation is investigated. First, a necessary conditi...
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ISBN:
(纸本)9789881563972
In this paper, the convergence characterization of a special implicit iterative algorithm with a tuning parameter for continuous coupled Markov jump Lyapunov matrix equation is investigated. First, a necessary condition for the convergence of the iterative algorithm is given. Then, a necessary and sufficient condition is proposed and the optimal tuning parameter such that the algorithm has the fastest convergence rate is analyzed in two cases according to the distribution of eigenvalues. Finally, a numerical example is given to illustrate the effectiveness of the algorithm and the effects of different tuning parameters.
A new iterative parameter estimation algorithm is proposed to estimate all parameters of dual-frequency signals including the unknown amplitudes, frequencies and phases. The observation data of the signals are disturb...
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ISBN:
(纸本)9781538654163
A new iterative parameter estimation algorithm is proposed to estimate all parameters of dual-frequency signals including the unknown amplitudes, frequencies and phases. The observation data of the signals are disturbed by stochastic noise. The key is that the signal model is a highly nonlinear function in regard to the frequencies and phases. A gradient based iterative algorithm is presented to compare the algorithm performance. The performance of the proposed method is tested by simulation.
The results of computational investigation of the generalized iterative algorithm GIA GMDH with active neurons are presented. The algorithm's architecture is based on hybridization of iterative and combinatorial s...
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ISBN:
(纸本)9781538616390
The results of computational investigation of the generalized iterative algorithm GIA GMDH with active neurons are presented. The algorithm's architecture is based on hybridization of iterative and combinatorial search schemes and comprises six standard variants of typical GMDH algorithms. The experiments demonstrate high performance and accuracy of the algorithm. Results of using the GIA GMDH are given for modeling of Ukraine's Black Sea economic region GRP as dependent on socio-economic indicators of the region.
In this paper, we consider a generalized mixed equilibrium problem and its related an auxiliary problem in real Hilbert space. We prove a result for the existence and uniqueness of solutions of the auxiliary problem. ...
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In this paper, we consider a generalized mixed equilibrium problem and its related an auxiliary problem in real Hilbert space. We prove a result for the existence and uniqueness of solutions of the auxiliary problem. This result is then used to define proximal mapping for generalized mixed equilibrium problem. Further, based on this result, we give an iterative algorithm which consists of a proximal mapping technique step followed by a suitable orthogonal projection onto a moving half-space for solving generalized mixed equilibrium problem. Furthermore we prove that the sequences generated by iterative algorithm converge weakly to a solution of generalized mixed equilibrium problem. Finally, we discuss some special cases of the main result.
We present a terahertz phase contrast imaging technique based on the iterative phase retrieval method which can be realized readily on the conventional terahertz intensity measurement system. The complex wave field of...
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ISBN:
(纸本)9781424466573
We present a terahertz phase contrast imaging technique based on the iterative phase retrieval method which can be realized readily on the conventional terahertz intensity measurement system. The complex wave field of terahertz radiation in the object plane (i.e., the terahertz phase image) is reconstructed from its measured Fourier transform magnitude using the Gerchberg-Saxton-Fienup algorithm with a known object support constraint. Preliminary experimental tests for a nearly transparent sample are performed to demonstrate the feasibility of this new imaging concept.
An iterative algorithm is proposed and investigated for phase noise estimation of discrete Fourier transform spread (DFT-S) orthogonal frequency division multiplexing (OFDM). Compared with common phase estimation (CPE...
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An iterative algorithm is proposed and investigated for phase noise estimation of discrete Fourier transform spread (DFT-S) orthogonal frequency division multiplexing (OFDM). Compared with common phase estimation (CPE), significant improvement of tolerance to laser bandwidth is obtained and 2.7 dB improvement at BER of 3.8 x 10(-3) is found using the CPE-iter scheme in 103.3 Gb/s coherent polarization-division-multiplexed DFT-S OFDM system over 480-km transmission through simulation. (C) 2017 Society of Photo-Optical Instrumentation Engineers (SPIE)
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