MDSP for Doctoral Students 2000

1、modern signal processing for doctoral students与传统统计信号处理的三个基本假设：线性、高斯性和平稳性不同，现代信号处理处理的对象是非线性、非高斯和非平稳的信号。现代信号处理已成为现代通信与信息系统、电子科学技术以及自动控制等众多学科的重要理论基础和工具。通过跟踪本学科的最新发展趋势与热门研究课题，来启发培养学生能具备适应未来一些新的交叉学科发展的综合创新能力。自适应滤波器原理adaptive filter theory(third edition) simon haykin电子工业出版社1998北京非平稳信号分析与处理，张贤达，保铮，国防工业出版社

2、1998年9月北京根据上述两本书的内容，每人各自准备其中一部分的内容（勿重复），作重点发言，课上进行讨论。adaptive filter theorybackgroundlinear optimum filtering-weiner filters, linear predictions, kalman filterslinear adaptive filteringlms, ls, rls, square-root adaptive filter, tracking of time-varying systems.nonlinear adaptive filteringblind decon

3、volution, back-propagation learning非平稳信号分析与处理时频分析，gabor 变换，小波分析wavelets，分数阶傅氏变换fractional fourier transform， 循环平稳信号分析与处理，线调频小波变换chirplet transform，调幅调频信号分析处理小波wavelet是一小段被谐波调制的信号波，一小段被窄窗抽取的谐波，一小段具有某种包络的谐波线调频小波chirplet是一小段被窄窗抽取的线性调频波，一小段具有某种包络的线性调频波时间、频率、尺度、频率倾斜、时间倾斜傅氏变换频率（一维线调频小波变换）短时傅氏变换时间、频率（二维线调频

4、小波变换）小波变换时间、尺度（二维线调频小波变换）多窗短时傅氏变换时间、频率、尺度（三维线调频小波变换）非高斯线调频小波变换连续线调频小波变换时间、频率、尺度、频率倾斜、时间倾斜（五维线调频小波变换）(wavelet digest volume 8 : issue 6)following the sine-cosine function, sawtooth wave, square wave, triangular wave, trapezoidal wave and so on become new easily-generated periodic functions in modern

5、electronics. similar to fouriers idea, a natural question is whether a signal can be considered as a superposition of easily-generated functions with different frequencies. therefore it is necessary to generalize fourier analysis based on sine-cosine functions into frequency analysis based on genera

6、l periodic functions. in this paper, we introduce the frequency series and frequency transformation based on general periodic functions. for practical convenience almost all easily-generated functions in electronics are considered carefully as examples. as a new and practical generalization of class

7、ical fourier analysis, these results will become a theoretical foundation for the technique of easily generated function analysis in signal processing. a lot of questions in this .wavelet digest monday, march 20, 2000 volume 9 : issue 2 1. preprint: fast ridge pursuit with gaussian chirps 2. preprin

8、t: reduction of correlated noise. 3. preprint: simple denoising algorithm using wavelet transform 4. preprint: three papers on easily-generated function analysis 5. preprint: 4 papers from a. petukhov (framelets, rational wavelets) 6. preprint: determining local singularities with the wavelet transf

9、orm 7. web: surver of www sites related to visionwavelet digest friday, april 28, 2000 volume 9 : issue 3 1. preprint: fourier transform of hermite interpolatory subdivision schemes 2. preprint: wavelets for adaptive solution of boundary value problems 3. preprint: a compound model of tcp connection

10、 arrivals 4. preprint: efficient encoding of the significance maps. 5. preprint: a wavelet method for film-grain noise corrupted images 6. preprint: fast iterative solution of saddle point problems 7. thesis: combined subdivision schemes (a. levin) 8. thesis: wavelet analysis for detection of rail i

11、rregularities 9. thesis: wavelet thresholding and noise reduction (m. jansen) 10. software: a wavelet based image coder 11. web: a web page on multiscale skeletonswavelet digest friday, june 2, 2000 volume 9 : issue 4 1. book: coherent states, wavelets and their generalizations 2. preprint: wavelet

12、based fractal analysis of airborne pollen 3. preprint: modification of space-frequency quantization . 4. preprint: blind source separation by sparse decomposition 5. preprint: wavelet based image compression by adaptive scanning. 6. preprint: fast block noncoherent decoding 7. thesis: transform doma

13、in algorithms for image compression. wavelet digest friday, june 30, 2000 volume 9 : issue 5 1. note from the editor: call for preprints 2. book: morphological image analysis 3. book: astrophysical dynamics 1999/2000 4. preprint: representation theory for multiple-antenna code design 5. preprint: irregular sampling in sis spaces, and frames, etc. 6. preprint: two papers on multi-scaling for economics and finance 7. preprint: denoising of evoked potentials 8. preprint: wavelets for pdes 9. thesis: ultrasonic arteri