... Electronics Engineering and Computer Science, Peking University, Beijing, China 2School of Electronic and Information Engineering, Beihang Page of 10 University, Beijing, China 3School of Engineering, ... loading using order mapping in OFDM systemswith limited feedback IEEE Signal Process Lett 15, 545–548 (2008) 18 C Chen, L Bai, B Wu, J Choi, Downlink throughput maximization for OFDMA systemswith ... and in particular, E X [·] denotes that with respect to X Page of 10 1.1 Overview We continue the introduction with a brief review of related work in Section 1.2 Section outlines the downlink...
... symbols minimizing the frequency-domain channel estimate MSE and are in general more preferable than pilot symbols minimizing the time-domain channel estimate MSE Pilot symbols minimizing the ... optimize the remaining pilot symbols Similarly, for the ith iteration, after removing subcarriers corresponding (i) to Nr minimum power, we optimize pilot power for the remaining set again with SDP When ... h2 in (23) or h∞ in (25) under the constraint (26) We first consider the minimization h2 The optimal power distribution can be obtained by minimizing the squared h in (23) with respect to l...
... presented in Section In Section 4, we reduce a delay difference system to a delay- free linear system of higher dimension, thus obtaining explicit stability conditions for the solutions Preliminaries ... which combined with the “freezing technique,” will allow us to derive explicit estimations to their solutions, namely, introducing new variables; one can reduce system 4.1 to a delay- free linear ... of 2.2 - 2.3 is absolutely stable in the class of nonlinearities in 2.6 Advances in Difference Equations Proof Condition 3.29 implies the inequality 3.26 , and in addition Nq γN 1− 1−η 1−η −1
... definition in [49], since limP→∞ (log log P/ log P) = 0, diversity min{M, N }R can be obtained The results in Theorem are obtained by considering only the highest-order term of P in the PEP formula In ... analyzed in Section In Section 4, the diversity for the network with an in nite number of relays is discussed Then, the diversity for the general case is obtained in Section Section contains the ... from the first training step Define t t t f = f1 · · · fR (11) By stacking the columns of X into one single column vector, we can rewrite (9) as ⎡ 2.2 Assumptions and training In this paper, we...
... The main steps in obtaining (12) are outlined in the appendix As vI and τ are integers, the estimation range of the normalized IFO vI is in [0, N − 1] and the search range of timing τ is in [0, ... Chengdu, China, in 1994 and the M.S degree from the Guilin University of Electronic Technology, Guilin, China, in 2002 He received the Ph.D degree in information and communication engineering from ... degree in electronic engineering from Guilin University of Electronic Technology, Guilin, in 1986, and the M.S and Ph.D degrees in electronic engineering from Xidian University, Xi’an, in 1992...
... transmitted power during the K probings Inserting (43) into (42), we obtain that in the case of using optimal orthogonal weighting matrices, the expression for optimal weighting coefficients can ... one can compensate for this effect by increasing the total transmitted power in the probing mode Another interesting observation is that the error in (23) is independent of the channel realization ... condition on optimal probing matrices Using (36), we obtain that in the optimal probing case, W Since tr{Rh } > 0, we see from (26) that JSLS is a monotonically increasing function of JLS Note...
... typical pumping systemswith air entrainment is presented In Chapter 6, experiment study of the check valve performances in fluid transient with air entrainment is provided Finally, in Chapter ... occurs in several types of hydraulic systems (cooling water systems, long pipelines with high points, oil pipelines, etc.) Dissolved gas is an important consideration in sewage water lines and ... conditions In short, air always presents in a pressurized pipeline The pockets of air accumulating at a high point can result in a line restriction which increases head loss, extends pumping cycles...
... stabilization of linear singular time delaysystemswith control delay To the best of our knowledge, finite-time stabilization problem for linear control systemswith multiple state and control delays has ... Lyapunov sence of linear control state -delay systems without control delays In this paper, we propose a new design tool to solve the finite-time stabilization for linear systemswith time delays via memoryless ... Main result The existing methods developed so far for Lyapunov stability are mainly for linear systemswith state delayIn this section we give delay- dependent sufficient conditions for designing...
... t distinct initial points are shifted in time t into distinct points for For a given parameter value k ∈ K and an initial state x ∈ X, the ω-limit set ω(x, k) is the set of all limit points of ... relaxations insystems without parameter EJDE-2004/MON 05 SINGULARITIES OF TRANSITION PROCESSES Let us recall the definition of non-wandering points A point x∗ ∈ X is the non-wandering point for ... coincides with f in some neighbourhood of this point The from the fact that f ˜ continuity of f in the point (t, x∗ ) follows from the continuity of f and the fact that ˜ any sequence converging in...
... KLsr}) including best relay selection, random relay selection, and all-decoding -relay participation The relays in these three methods use a single orthogonal subchannel with repetition coding We ... decoding relay transmits some known information to the destination, and the destination estimates each relay- to-destination channel The destination chooses the relaywith the largest sum-squared relay- to-destination ... channel results in a more pronounced coding gain than increasing the frequency diversity in the relay- to-destination channel, as Scenario has a larger coding gain than Scenario in Figure As shown...
... growing motions with initial time difference Problems Nonlinear Anal Eng Syst 1, 50–66 (2000) 19 Yakar, C: Strict Stability Criteria of Perturbed Systemswith respect to Unperturbed Systemsin ... equation with Caputo’s derivative that differs in initial position and initial time with respect to the unperturbed fractional order differential equation with Caputo’s derivative has been investigated ... both in initial position and in initial time [2,12-20] In this work, we have dissipated this complexity and have a new comparison result that again gives the null solution a central role in the...
... A(t) and f(t) are contina uous matrices Bonnet et al [15] analyzed several properties linked to the robust control of fractional differential systemswith delays They delt with the BIBO stability ... studied the finite time stability for it Preliminaries Let L1[a, b] be the space of Lebesgue integrable functions on the interval [a, b], ≤ a
... 35 Braaksma, B.: Singular Hopf bifurcation insystemswith fast and slow variables J Nonlinear Sci 8, 457–490 (1998) 36 Guckenheimer, J.: Singular Hopf bifurcation insystemswith two slow variables ... coupled cells where such intrinsic transient dynamics might play a role in forming new attractors In many physiological models, we are interested in the onset of oscillations, i.e in the existence and ... variables In calcium models, the total calcium concentration might also be included in the slow variables n By taking the singular limit ε → in (3), we obtain the layer problem, which possesses, in...
... combining scheme for 1-D signal modulations in multipath fading channel At GR discussed in [19], the N diversity branches are split into 2N in- phase and quadrature subbranches Then, the GR with ... DS-CDMA systems discussed, for example in [20] With this result, a reasonable PCF can quickly be determined without using any time-consuming Monte Carlo simulations It is worth mentioning that ... selection/maximal ratio combining and synchronous DS-CDMA, and recall the main functioning EURASIP Journal on Advances in Signal Processing principles of GR We carry out the performance analysis in Section where...
... concerned with the investigation of fixed points in Caputo linear fractional dynamic systems of real order α which involved delayed dynamics subject to a finite set of bounded point delays which ... differential dynamic systems 23, 24 , involving point delays which leads to a formalism of a class of functional differential equations, 25–31 Functional equations involving point delays are a crucial ... Fractional Linear Dynamic Systemswith Point Constant Delays and the Contraction Mapping Theorem Consider the linear functional Caputo fractional dynamic system of order α with r delays: α D0...
... Networking the cross-layer approach for wireless resource allocation in multiaccess and broadcasting queueing systems, respectively Specifically, in order to collect all the parameters together in ... scheduling in [9] In [10], Mandelbaum and Stolyar extended this method to the continuous strictly increasing convex function of the queue length and proved the optimality of C − μ law scheduling ... system with multiple wireless interfaces [13] In [14], Fu et al solved the dual problems of maximizing expected throughput given limited energy and of minimizing expected energy given the minimum...
... multiuser OFDM cognitive radio systems, ” in Proceedings of the 2nd International Conference on Communications and Networking in China (ChinaCom ’07), pp 115–119, Shanghai, China, August 2007 [16] Y ... in Section and the main findings are summarized in Section System Model We consider the problem of allocating resources on the downlink of an MU-OFDM CR system with one base station (BS) serving ... unconstrained binary quadratic programming problem,” BioSystems, vol 78, no 1−3, pp 99–118, 2004 [27] P Merz, “On the performance of memetic algorithms in combinatorial optimization,” in Proceedings...
... determine the time domain and frequency domain spreading in VSF-OFCDM systems [10, 11] The amount of time domain spreading can be varied by varying the allocated time domain OVSF code This is in ... the same time domain code is low However, when the number of users using the same time domain code increases, intercode interference increases In order to reduce the intercode interference, users ... multicode interference, whereas increasing frequency domain spreading increases frequency diversity Thus a trade-off between reduction of multicode interference and increased frequency domain spreading...
... contraction mapping in M with constant 3/d By the contraction mapping principle, P has a unique fixed point x in M, which is a solution of 1.2 with x s ψ s on −r, and supt≥−r |x t | ≤ L In order to ... contraction mapping with contraction constant α By the contraction mapping principle, P has a unique fixed point x in M which is a solution of 1.1 with x s ψ s on −r, and x t → as t → ∞ In order to ... given Then, choose m > so that m < min{ε, L} Replacing L with m in M, we see there is a δ > such that ψ < δ implies that the unique continuous solution x agreeing with ψ on −r, satisfies |x t | ≤...
... of an interference-mitigation strategy with the use of channel correlation information in a multiuser MIMO relay system Along with the interference mitigation, it is also of an interesting topic ... the coordinated eigen-beamforming with physical interpretation 3.1 Eigen-Beamforming (Eig.BF) With the transmit correlation information, the transmitter can determine the eigenbeamforming vector ... shadowing effect [2] The transmit beamforming and receive combining vector for user i can be determined in a similar manner Proposed Coordinated Transmission In this section, we design a coordinated...