Grandi’s paradox, which was posed for a real function of the form 1/(1+ x), has been resolved and extended to complex valued functions. Resolution of this approximate...
supported by Natural Science Foundation of China(Grant Nos.61561006 and11501132);Natural Science Foundation of Guangxi(Grant No.2016GXNSFAA380049);the support from NSF under the(Grant Nos.DMS-1403400 and DMS-1712602)
The Sobolev space HS(Rd) with s 〉 d/2 contains many important functions such as the bandlimited or rational ones. In this paper we propose a sequence of measurement functions { φj^r,k}∈C H^-S(R^d) to the phase ...
supported by the National Science Foundation of China (No.61371169);the Aeronautical Science Foundation of China(No.20120152001)
The problem of two-dimensional(2 D)direction of arrival(DOA)estimation for double parallel uniform linear arrays is investigated in this paper.A real-valued DOA estimation algorithm of noncircular(NC)signal is propose...
The National Natural Science Foundation of China(No.61561052,61701262);the Science and Technology Foundation of Henan Province(No.182102410062,182102210114);the Science and Technology Foundation of Henan Educational Committee(No.17A510018)
A new real and complex-valued hybrid time-delay neural network(TDNN)is proposed for modeling and linearizing the broad-band power amplifier(BPA).The neural network includes the generalized memory effect of input signa...
Project supported by the National Natural Science Foundation of China(Grant Nos.61503338,61573316,61374152,and 11302195);the Natural Science Foundation of Zhejiang Province,China(Grant No.LQ15F030005)
In this paper, a novel design procedure is proposed for synthesizing high-capacity auto-associative memories based on complex-valued neural networks with real-imaginary-type activation functions and constant delays. S...
Supported by the National Natural Science Foundation of China(Grant Nos.11401262;11271178)
In the paper [properties defined with semi-continuous functions and some related spaces', Houston J. Math., 2015, 41(3): 1097-1106] properties (UL)m^wl, (UL)mK and (UL)m were defined and it was shown that sp...
supported by the National Natural Science Foundation of China(61501142);the Shandong Provincial Natural Science Foundation(ZR2014FQ003);the Special Foundation of China Postdoctoral Science(2016T90289);the China Postdoctoral Science Foundation(2015M571414)
The root multiple signal classification(root-MUSIC) algorithm is one of the most important techniques for direction of arrival(DOA) estimation. Using a uniform linear array(ULA) composed of M sensors, this metho...
supported by Austrian Science Fund Project(Grant No.P23639-N18);National Natural Science Foundation of China(Grant No.11371239)
Continuous, SL(n) and translation invariant real-valued valuations on Sobolev spaces are classified.The centro-affine Hadwiger's theorem is applied. In the homogeneous case, these valuations turn out to be L^p-norms r...
Project supported by the National Natural Science Foundation of China(Grant Nos.61374094 and 61503338);the Natural Science Foundation of Zhejiang Province,China(Grant No.LQ15F030005)
In this paper, the multistability issue is discussed for delayed complex-valued recurrent neural networks with discontinuous real-imaginary-type activation functions. Based on a fixed theorem and stability definition,...
Supported by the National Natural Science Foundation of China (No. 60671049, 61172168)and Graduate Innovation Project of Heilongjiang (No. YJSCX2011-034HLI)
The real-valued self set in immunity-based network intrusion detection system (INIDS) has some defects: multi-area and overlapping, which are ignored before. The detectors generated by this kind of self set may hav...