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| 1 | Blind recognition of k/n rate convolutional encoders from noisy observation显示文摘Blind recognition of convolutional codes is not only essential for cognitive radio, but also for non-cooperative context.This paper is dedicated to the blind identification of rate k/n convolutional encoders in a noisy context based on Walsh-Hadamard transformation and block matrix(WHT-BM). The proposed algorithm constructs a system of noisy linear equations and utilizes all its coefficients to recover parity check matrix. It is able to make use of fault-tolerant feature of WHT, thus providing more accurate results and achieving better error performance in high raw bit error rate(BER) regions. Moreover, it is more computationally efficient with the use of the block matrix(BM) method. | Li Huang Wengu Chen Enhong Chen Hong Chen | 2017 | Journal of Systems Engineering and Electronics2017，28，2： | 13 |
| 2 | ON A MULTILINEAR OSCILLATORY SINGULAR INTEGRAL OPERATOR(I)显示文摘ONAMULTILINEAROSCILLATORYSINGULARINTEGRALOPERATOR(I)CHENWENGUHUGUOENLUSHANZHENManuscriptreceivedOctober18,1994.RevisedDece... | CHEN WENGU * HU GUOEN * LU SHANZHEN * Manuscript received October 18, 1994. Revised December 13, 1995. *Department of Mathematics, Beijing Normal University, Beijing 100875, China. **Project supported by the National Natural Scienc | 1997 | Chinese Annals of Mathematics,Series B1997，18，2： | 8 |
| 3 | A Besov Estimate for Multilinear Singular Integrals | Wengu Chen Department of Mathematics, Capital Normal University. Beijing 100037. P. R. China | 2000 | Acta Mathematica Sinica,English Series2000，16，4： | 6 |
| 4 | Stable recovery of low-rank matrix via nonconvex Schatten p-minimization显示文摘In this paper, a sufficient condition is obtained to ensure the stable recovery(ε≠ 0) or exact recovery(ε = 0) of all r-rank matrices X ∈ Rm×nfrom b = A(X) + z via nonconvex Schatten p-minimization for anyδ4r∈ [3~(1/2))2, 1). Moreover, we determine the range of parameter p with any given δ4r∈ [(3~(1/2))/22, 1). In fact, for any given δ4r∈ [3~(1/2))2, 1), p ∈(0, 2(1- δ4r)] suffices for the stable recovery or exact recovery of all r-rank matrices. | CHEN WenGu LI YaLing | 2015 | Science China Mathematics2015，58，12： | 3 |
| 5 | BOUNDEDNESS OF FRACTIONAL INTEGRALS IN HARDY SPACES WITH NON-DOUBLING MEASURE—In Memory of Professor Sun Yongsheng显示文摘Let μ be a Borel measure on Rd which may be non doubling. The only condition that μ must satisfy is μ(Q) ≤ c0l(Q)n for any cube Q ? Rd with sides parallel to the coordinate axes and for some fixed n with 0 < n ≤ d. The purpose of this paper is to obtain a boundedness property of fractional integrals in Hardy spaces H1(μ). | Wengu Chen Yixin Lai | 2006 | Analysis in Theory and Applications2006，22，2： | 2 |
| 6 | A sharp recovery condition for block sparse signals by block orthogonal multi-matching pursuit显示文摘We consider the block orthogonal multi-matching pursuit(BOMMP) algorithm for the recovery of block sparse signals.A sharp condition is obtained for the exact reconstruction of block K-sparse signals via the BOMMP algorithm in the noiseless case,based on the block restricted isometry constant(block-RIC).Moreover,we show that the sharp condition combining with an extra condition on the minimum l_2 norm of nonzero blocks of block K-sparse signals is sufficient to ensure the BOMMP algorithm selects at least one true block index at each iteration until all true block indices are selected in the noisy case.The significance of the results we obtain in this paper lies in the fact that making explicit use of block sparsity of block sparse signals can achieve better recovery performance than ignoring the additional structure in the problem as being in the conventional sense. | CHEN WenGu GE HuanMin | 2017 | Science China Mathematics2017，60，7： | 2 |
| 7 | THE HIGH ORDER BLOCK RIP CONDITION FOR SIGNAL RECOVERY显示文摘In this paper,we consider the recovery of block sparse signals,whose nonzero entries appear in blocks (or clusters)rather than spread arbitrarily throughout the signal,from incomplete linear measurements.A high order sufficient condition based on block RIP is obtained to guarantee the stable recovery of all block sparse signals in the presence of noise,and robust recovery when signals are not exactly block sparse via mixed l2/l1 minimization.Moreover,a concrete example is established to ensure the condition is sharp.The significance of the results presented in this paper lies in the fact that recovery may be possible under more general conditions by exploiting the block structure of the sparsity pattern instead of the conventional sparsity pattern. | Yaling Li Wengu Chen | 2019 | Journal of Computational Mathematics2019，37，1： | 2 |
| 8 | A note on commutators of fractional integrals with RBMO(μ) functions显示文摘 | Chen Wengu Sawyer E | 2002 | Illions J of Math2002，46，4： | 1 |
| 9 | Exfoliation of graphite flake and its nanocomposites 显示文摘 | CHEN GUOHUA WU DAJUN WENG WENGU | 2003 | Carbon2003，41，3： | 1 |
| 10 | NON-CONVOLUTION TYPE OSCILLATORY SINGULAR INTEGRAL ON HARDY SPACE HK_p(R^n)显示文摘The authors considered non-convolution type oscillatory singular integral operators with real-analytic phases. A uniform boundedness from HKp to Hp of such operators is established. The result is false for general C phases. | Chen Wengu Yang Dachun (Beijing Normal University China) | 1997 | Analysis in Theory and Applications1997，13，2： | 1 |
| 11 | Vector valued commutators on non-homogeneous spaces显示文摘 | Miao Changxing | | Submitted0，，： | 1 |
| 12 | Vector valued commutators on non-homogeneous spaces显示文摘 | Chen Wengu Miao Changxing | | Submitted0，，： | 1 |
| 13 | A note on commutators of fractional integrals with RBMO(μ) functions显示文摘 | Chen Wengu Sawyer E | 2002 | Illinois Journal of Mathematics2002，46，4： | 1 |
| 14 | BOUNDEDNESS CRITERION FOR SOME COMMUTATORS OF LINEAR OPERATORS显示文摘The paper is to establish a boundedness criterion for some commutators of linear operators when these linear operators don’t satisfy the general A p weight estimates but satisfy some radial weight estimates. | Chen Wengu Hu Guoen | 2001 | Analysis in Theory and Applications2001，17，3： | 0 |
| 15 | Weighted ■_(p)-Minimization for Sparse Signal Recovery under Arbitrary Support Prior显示文摘Weighted ■_(p)(0 | Yueqi Ge Wengu Chen Huanmin Ge Yaling Li | 2021 | Analysis in Theory and Applications2021，37，3： | 0 |
| 16 | Signal recovery under mutual incoherence property and oracle inequalities显示文摘We consider the signal recovery through an unconstrained minimiza- tion in the framework of mutual incoherence property.A sufficient condition is provided to guarantee the stable recovery in the noisy case.Furthermore, oracle inequalities of both sparse signals and non-sparse signals are derived under the mutual incoherence condition in the case of Gaussian noises.Finally, we investigate the relationship between mutual incoherence property and robust null space property and find that robust null space property can be deduced from the mutual incoherence property. | Peng LI Wengu CHEN | 2018 | Frontiers of Mathematics in China2018，13，6： | 0 |
| 17 | STABLE RECOVERY OF SPARSELY CORRUPTED SIGNALS THROUGH JUSTICE PURSUIT DE-NOISING显示文摘This paper considers a corrupted compressed sensing problem and is devoted to recover signals that are approximately sparse in some general dictionary but corrupted by a combination of interference having a sparse representation in a second general dictionary and measurement noise.We provide new restricted isometry property(RIP)analysis to achieve stable recovery of sparsely corrupted signals through Justice Pursuit De-Noising(JPDN)with an additional parameter.Our main tool is to adapt a crucial sparse decomposition technique to the analysis of the Justice Pursuit method.The proposed RIP condition improves the existing representative results.Numerical simulations are provided to verify the reliability of the JPDN model. | Ningning Li Wengu Chen Huanmin Ge | 2024 | Journal of Computational Mathematics2024，42，1： | 0 |
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