陶然
现代信号处理理论及应用、雷达系统与技术、通信系统与技术、高速实时信号处理等
个性化签名
 姓名：陶然
 目前身份：
 担任导师情况：
 学位：

学术头衔：
博士生导师， 国家杰出青年科学基金获得者
 职称：

学科领域：
通信技术
 研究兴趣：现代信号处理理论及应用、雷达系统与技术、通信系统与技术、高速实时信号处理等
陶然，男,1964年11月生于安徽省南陵县，现任北京理工大学电子工程系信息与通信工程学科教授、博士生导师，校学术委员会委员。是国家杰出青年科学基金、高校青年教师奖和中国兵工青年科技奖获得者，入选新世纪百千万人才工程国家级人选。1985年于解放军电子工程学院获学士学位，1990年、1993年于哈尔滨工业大学获硕士、博士学位，1996年于北京理工大学电子学与通信学科博士后出站并留校任副教授，1999年破格晋升为教授，2000年受聘博士生导师。2001年3月2002年4月在美国密西根大学 （The University of Michigan, Ann Arbor）任高级访问学者一年。 在国家自然科学基金重点项目及面上项目、博士点基金、总装重点基金项目、总装基金项目、总装预研、总装型号、国防基础预研、242信息安全专项等项目的支持下，对现代信号处理理论及应用、雷达系统与技术、通信系统与技术、高速实时信号处理等进行了广泛而深入的研究。已获部级科技进步一等奖2项（排名均为第二）、二等奖2项（排名第一、第二）、三等奖4项、教材一等奖1项；以第一发明人获发明专利10项、获软件著作权8项；以第一作者出版著作《分数阶Fourier变换的原理与应用》、教材《多抽样率数字信号处理理论及其应用》；以第一、第二作者在IEEE Transactions on Signal Processing、IEEE Transactions on Antennas and Propagation、IEEE Signal Processing Letters、Optics Express、Optics Letters、Signal Processing、中国科学、电子学报上发表论文60余篇，被SCI收录20余篇、EI收录80余篇。 指导23名博士生（包括2名外国留学生），其中5名已毕业，2次获得校优秀博士学位论文指导教师奖；指导了49名硕士生，其中41名已毕业，2次获得校优秀硕士论文指导教师奖；作为专家组成员，指导3名博士后，均已出站。 兼任中国雷达行业协会副理事长，中国电子学会会士、理事会理事、学术工作委员会委员、青年及志愿者工作委员会副主任、无线电定位技术分会副主任，中国兵工学会信息安全与对抗专业委员会总干事，《兵工学报》常务编委，《现代雷达》编委，《雷达科学与技术》编委，国家242信息安全计划评审组专家，国防科工委基础科研“十一五”规划探测、信息与控制专家组成员，Senior Member of the IEEE， IEEE Trans. on Signal Processing及IET Signal Processing审稿人。曾任中国科学院青年创新联合会执行理事。2001年3月2002年4月访美期间，任美国密西根大学中国学生、学者联合会副主席。

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成果数
13
【期刊论文】Optical image encryption based on the multipleparameter fractional Fourier transform
陶然
，0001，（）：
1年11月30日
A novel image encryption algorithm is proposed based on the multipleparameter fractional Fourier transform, which is a generalized fractional Fourier transform, without the use of phase keys. The image is encrypted simply by performing a multipleparameter fractional Fourier transform with four keys. Optical implementation is suggested. The method has been compared with existing methods and shows superior robustness to blind decryption.
Optical image,， encryption,， multipleparameter fractional Fourier transform

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【期刊论文】Generalization of the Fractional Hilbert Transform
陶然
，0001，（）：
1年11月30日
In this letter, we generalize the fractional Hilbert transform of a real signal to get an analytic version which contains no negative spectrum while maintaining the essential information of the real signal. We also present a secure singlesideband (SSB) modulation system in which the angle of the fractional Fourier transform and the phase of the fractional Hilbert transform are used as double keys for demodulation.
Fractional Fourier transform,， fractional Hilbert

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【期刊论文】Twostage method for joint time delay and Doppler shift estimation
陶然
，0001，（）：
1年11月30日
The focus of this research is to provide a fast and precise method for joint time delay and Doppler shift estimation. The main procedure is divided into two stages. In the first stage, the preweighted Zoom fast Fourier transform and quadratic surface fitting methods are used for fast computing the ambiguity function and the for coarse estimation, respectively. In the second stage, the values near the coarse estimates are calculated and quadratic surface fitting method is used again for fine estimation. The twostage method reduces the computational load without losing the precision. Simulation and experimental results are used to demonstrate the effectiveness of the proposed method.
Radar,， time delay,， Doppler shift

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【期刊论文】Double image encryption based on random phase encoding in the fractional Fourier domain
陶然， Ran Tao， Yi Xin， Yue Wang
26 November 2007, Vol. 15, No. 24, OPTICS EXPRESS 16067，0001，（）：
1年11月30日
A novel image encryption method is proposed by utilizing random phase encoding in the fractional Fourier domain to encrypt two images into one encrypted image with stationary white distribution.By applying the correct keys which consist of the fractional orders,the random phase masks and the pixel scrambling operator,the two primary images can be recovered without crosstalk.The decryption process is robust against the loss of data.The phasebased image with a larger key space is more sensitive to keys and disturbances than the amplitudebased image.The pixel scrambling operation improves the quality of the decrypted image when noise perturbation occurs.The novel approach is verified by simulations.
Data processing by optical means， Holography， Digital image processing

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【期刊论文】The Fractional Fourier Domain Analysis of Decimation and Interpolation
陶然
，0001，（）：
1年11月30日
The sampling rate conversion is always used in order to decrease computational amount and storage load in a system. The fractional Fourier transform (FRFT) is a powerful tool for the analysis of nonstationary signals, especially, chirplike signal. Thus, it has become an active area in the signal processing community, with many applications of radar, communication, electronic warfare, and information security. Therefore, it is necessary for us to generalize the theorem for Fourier domain analysis of decimation and interpolation. Firstly, this paper defines the digital frequency in the fractional Fourier domain (FRFD) through the sampling theorems with FRFT. Secondly, FRFD analysis of decimation and interpolation is proposed in this paper with digital frequency in FRFD followed by the studies of interpolation filter and decimation filter in FRFD. Using these results, FRFD analysis of the sampling rate conversion by a rational factor is illustrated. The noble identities of decimation and interpolation in FRFD are then deduced using previous results and the fractional convolution theorem. The proposed theorems in this study are the bases for the generalizations of the multirate signal processing in FRFD, which can advance the filter banks theorems in FRFD. Finally, the theorems introduced in this paper are validated by simulations.
decimation,， interpolation,， fractional Fourier transform,， sampling rate conversion,， the digital frequency in the fractional Fourier domain

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【期刊论文】Convolution Theorems for the Linear Canonical Transform and their Applications
陶然
，0001，（）：
1年11月30日
As generalization of the fractional Fourier transform (FRFT), the linear canonical transform (LCT) has been used in several areas, including optics and signal processing. Many properties for this transform are already known, but the convolution theorems, similar to the version of the Fourier transform, are still to be determined. In this paper, the authors derive the convolution theorems for the LCT, and explore the sampling theorem and multiplicative filter for the band limited signal in the linear canonical domain. Finally, the sampling and reconstruction formulas are deduced, together with the construction methodology for the above mentioned multiplicative filter in the time domain based on fast Fourier transform (FFT), which has much lower computational load than the construction method in the linear canonical domain.
linear canonical transform,， convolution theorems,， sampling,， multiplicative filter

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【期刊论文】Research progress of the fractional Fourier transform in signal processing
陶然
，0001，（）：
1年11月30日
The fractional Fourier transform is a generalization of the classical Fourier transform, which is introduced from the mathematic aspect by Namias at first and has many applications in optics quickly. Whereas its potential appears to have remained largely unknown to the signal processing community until 1990s. The fractional Fourier transform can be viewed as the chirpbasis expansion directly from its definition, but essentially it can be interpreted as a rotation in the timefrequency plane, i.e. the unified timefrequency transform. With the order from 0 increasing to 1, the fractional Fourier transform can show the characteristics of the signal changing from the time domain to the frequency domain. In this research paper, the fractional Fourier transform has been comprehensively and systematically treated from the signal processing point of view. Our aim is to provide a course from the definition to the applications of the fractional Fourier transform, especially as a reference and an introduction for researchers and interested readers.
fractional Fourier transform,， signal processing,， timefrequency analysis

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【期刊论文】New sampling formulae related to linear canonical transform
陶然
，0001，（）：
1年11月30日
Linear canonical transform (LCT) is an integral transform with four parameters a, b, c, d and has been shown to be a powerful tool for optics, radar system analysis, filter design, phase retrieval, pattern recognition, and many other applications. Many wellknown transforms such as the Fourier transform, the fractional Fourier transform, and the Fresnel transform can be seen as special cases of the linear canonical transform. In this paper, new sampling formulae for reconstructing signals that are bandlimited or timelimited in the linear canonical transform sense have been proposed. Firstly, the sampling theorem representation of bandlimited signals associated with linear canonical transform from the samples taken at Nyquist rate is derived in a simple way. Then, based on the relationship between the Fourier transform and the linear canonical transform, the other two new sampling formulae using samples taken at half the Nyquist rate from the signal and its first derivative or its generalized Hilbert transform are obtained. The wellknown sampling theorems in Fourier domain or fractional Fourier domain are shown to be special cases of the achieved results. The experimental results are also proposed to verify the accuracy of the obtained results. Finally, discussions about these new results and future works related to the linear canonical transform are proposed.
Linear canonical transform， Sampling theorem， Nyquist rate， Generalized Hilbert transform

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【期刊论文】An improved selforganizing CPNbased fuzzy system with adaptive backpropagation algorithm
陶然
，0001，（）：
1年11月30日
This paper describes an improved selforganizing CPNbased (CounterPropagation Network) fuzzy system. Two selforganizing algorithms IUSOCPN and ISSOCPN, being unsupervised and supervised respectively, are introduced. The idea is to construct the neuralfuzzy system with a twophase hybrid learning algorithm, which utilizes a CPNbased nearestneighbor clustering scheme for both structure learning and initial parameters setting, and a gradient descent method with adaptive learning rate for 8ne tuning the parameters. The obtained network can be used in the same way as a CPN to model and control dynamic systems, while it has a faster learning speed than the original backpropagation algorithm. The comparative results on the examples suggest that the method is fairly e:cient in terms of simple structure, fast learning speed, and relatively high modeling accuracy.
Neurofuzzy systems， Counterpropagation network， Fuzzy logic， Neural network， SelfOrganization， Gradient descent method， BackPropagation learning scheme

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【期刊论文】A New SINR Equation Based on the Polarization Ellipse Parameters
陶然
，0001，（）：
1年11月30日
For optimal polarization reception in the presence of interference and noise, a new signaltointerferenceandnoiseratio (SINR) equation is derived from two triangles in polarization sphere based on the polarization ellipse parameters. The local optimal solutions of SINR on the great circle tracks and the small circle tracks are obtained. Some analytic solutions in special polarization schemes are presented. Several optimal strategies are proposed. An optimal polarization scheme called Three Steps’ Searching and Comparing (TSSC) is suggested. The comparison among these optimal schemes is given. Simulation results show that TSSC scheme closely approaches the global optimum quickly and efficiently.
Optimal polarization,， polarization ellipse

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