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Topical Meeting on Signal Recovery and Synthesis with Incomplete Information and Partial Constraints最新文献

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Maximum Entropy Image Reconstruction from Phaseless Fourier Data 基于无相傅里叶数据的最大熵图像重建
Topical Meeting on Signal Recovery and Synthesis with Incomplete Information and Partial Constraints Pub Date : 1986-03-01 DOI: 10.1080/713821934
R. Bryan, J. Skilling
{"title":"Maximum Entropy Image Reconstruction from Phaseless Fourier Data","authors":"R. Bryan, J. Skilling","doi":"10.1080/713821934","DOIUrl":"https://doi.org/10.1080/713821934","url":null,"abstract":"We investigate the reconstruction of a real and positive spatial pattern or \"image\" (1) from incomplete phaseless Fourier data Dkwith noise σk, (2) The first step is to define the set of \"feasible\" images, any of which is consistent with the data. This involves comparing the actualdata Dkwith the simulated data |Fk|2which wouldbe observed (apart from noise) from a trial image f. The simplest comparison measure is chisquared (3) Any trial image f for which \u0000χ2>M+3⋅3M (M = number of data) is rejected with 99% confidence: the surviving images are feasible and only these need be considered further. In N-dimensional image-space, the feasible set forms a 2M-dimensional toroid, projected linearly to infinity in any unmeasured Fourier planes. Much of the difficulty encountered with phaseless data stems from the connected topology of this constraint.","PeriodicalId":279385,"journal":{"name":"Topical Meeting on Signal Recovery and Synthesis with Incomplete Information and Partial Constraints","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1986-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129135914","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 18
A Novel Hankel Approximation Method for Arma Pole-Zero Estimation from Noisy Covariance Data* 基于噪声协方差数据的Arma极点零估计的一种新的Hankel近似方法*
Topical Meeting on Signal Recovery and Synthesis with Incomplete Information and Partial Constraints Pub Date : 1983-12-01 DOI: 10.1364/srs.1983.wa19
S. Kung, K. S. Arun
{"title":"A Novel Hankel Approximation Method for Arma Pole-Zero Estimation from Noisy Covariance Data*","authors":"S. Kung, K. S. Arun","doi":"10.1364/srs.1983.wa19","DOIUrl":"https://doi.org/10.1364/srs.1983.wa19","url":null,"abstract":"Model based methods have been gaining popularity in high resolution spectral estimation, and have recently demonstrated a great deal of success. Such methods allow us to parameterize the spectrum in terms of a relatively small number of unknown parameters, and thus reduce the spectral estimation problem to that of first, selecting the appropriate model, and second, estimating its parameters. The most popular models used today, are\u0000 1) Autoregressive model (AR),\u0000 2) Sinusoids plus noise model (S+N) and\u0000 3) Autoregressive moving average model (ARMA)","PeriodicalId":279385,"journal":{"name":"Topical Meeting on Signal Recovery and Synthesis with Incomplete Information and Partial Constraints","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1983-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121857340","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
Frequency Sampling of the Short-Time Fourier Transform Magnitude* 短时傅里叶变换幅度的频率采样*
Topical Meeting on Signal Recovery and Synthesis with Incomplete Information and Partial Constraints Pub Date : 1983-11-01 DOI: 10.1364/JOSA.73.001523
T. Quatieri, S. Nawab, J. Lim
{"title":"Frequency Sampling of the Short-Time Fourier Transform Magnitude*","authors":"T. Quatieri, S. Nawab, J. Lim","doi":"10.1364/JOSA.73.001523","DOIUrl":"https://doi.org/10.1364/JOSA.73.001523","url":null,"abstract":"Under mild restrictions, a sequence x(n) is uniquely specified by its short-time Fourier transform magnitude at one or two frequencies for each n.","PeriodicalId":279385,"journal":{"name":"Topical Meeting on Signal Recovery and Synthesis with Incomplete Information and Partial Constraints","volume":"72 ","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1983-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"120929771","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 6
Spectral Extrapolation of Constrained Signals 约束信号的谱外推
Topical Meeting on Signal Recovery and Synthesis with Incomplete Information and Partial Constraints Pub Date : 1983-11-01 DOI: 10.1364/JOSA.73.001476
R. Mammone
{"title":"Spectral Extrapolation of Constrained Signals","authors":"R. Mammone","doi":"10.1364/JOSA.73.001476","DOIUrl":"https://doi.org/10.1364/JOSA.73.001476","url":null,"abstract":"There are many applications where it is desirable to restore the high frequency components of a signal, for example, in radar and sonar, greater range accuracy can be obtained by spectral extrapolation, In imaging systems, the restoration of an image will provide increased resolution, The ability to restore the fine details of an image is of obvious value in such diverse fields as astronomy, electron microscopy, satelite survailance, medical image processing, remote sensing, and in image data compression applications.","PeriodicalId":279385,"journal":{"name":"Topical Meeting on Signal Recovery and Synthesis with Incomplete Information and Partial Constraints","volume":"54 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1983-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115655166","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 22
Analysis of Time-Sequential Sampling with a Spatially Hexagonal Lattice 空间六边形晶格的时序采样分析
Topical Meeting on Signal Recovery and Synthesis with Incomplete Information and Partial Constraints Pub Date : 1983-11-01 DOI: 10.1364/JOSA.73.001510
R. M. Cramblitt, J. Allebach
{"title":"Analysis of Time-Sequential Sampling with a Spatially Hexagonal Lattice","authors":"R. M. Cramblitt, J. Allebach","doi":"10.1364/JOSA.73.001510","DOIUrl":"https://doi.org/10.1364/JOSA.73.001510","url":null,"abstract":"Hexagonal sampling of 2-D signals has been considered a useful alternative to rectangular systems. Mersereau [1] analyzed hexagonal sampling and showed that when images are circularly or elliptically bandlimited the sampling density can be 13.6% less than that required for a rectangular sampling system. Murphy and Gallagher [2] studied hexagonal sampling in the context of optical systems. Here we investigate spatially hexagonal sampling of spatiotemporal signals. Since obtaining samples at every point in space at the same time instant is impractical for many applications, we constrain the sampling to be time-sequential. We examine the performance of various sampling patterns as we sample below the temporal Nyquist rate, and we compare their performance with that of the corresponding rectangular case that was analyzed previously [3].","PeriodicalId":279385,"journal":{"name":"Topical Meeting on Signal Recovery and Synthesis with Incomplete Information and Partial Constraints","volume":"52 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1983-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124615371","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 8
On Some Explicit Deconvolution formulas 关于一些显式反卷积公式
Topical Meeting on Signal Recovery and Synthesis with Incomplete Information and Partial Constraints Pub Date : 1983-03-01 DOI: 10.1088/0150-536X/14/2/003
C. Berenstein, B. A. Taylor, A. Yger
{"title":"On Some Explicit Deconvolution formulas","authors":"C. Berenstein, B. A. Taylor, A. Yger","doi":"10.1088/0150-536X/14/2/003","DOIUrl":"https://doi.org/10.1088/0150-536X/14/2/003","url":null,"abstract":"Given several measuring devices defined by convolution with distributions μ1,…,μm of compact support in ℝn one would like to construct explicitly deconvolutors, i.e. distributions v1,…,vm, also of compact support, such that This would allow us to reconstruct exactly an arbitrary signal ϕ ∈ C∞(ℝn) which was measured as g1 = μ1 * ϕ,…,gm = μm * ϕ by.","PeriodicalId":279385,"journal":{"name":"Topical Meeting on Signal Recovery and Synthesis with Incomplete Information and Partial Constraints","volume":"8 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1983-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126899598","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 19
Phase Retrieval for Functions with Sufficiently Disconnected Support 具有充分断开支持的函数的相位检索
Topical Meeting on Signal Recovery and Synthesis with Incomplete Information and Partial Constraints Pub Date : 1983-02-01 DOI: 10.1364/JOSA.73.000218
T. Crimmins, J. Fienup
{"title":"Phase Retrieval for Functions with Sufficiently Disconnected Support","authors":"T. Crimmins, J. Fienup","doi":"10.1364/JOSA.73.000218","DOIUrl":"https://doi.org/10.1364/JOSA.73.000218","url":null,"abstract":"The problem of phase retrieval is to reconstruct a function, f(x),from the modulus, |F(u)|, of its Fourier transform, This is equivalent to reconstructing the phase of F(u) from |F(u)| or to reconstructing f(x) from its autocorrelation function, which is given by the in verse Fourier transform of |F(u)|2. This problem arises in many fields, including astronomy, x-ray crystallography, wavefront sensing, pupil function determination, electron microscopy, and particle scattering. In this paper the function, f, is assumed to be a square-integrable, one-dimensional, complex-valued function. If f has disconnected compact support contained in the union of a sequence of intervals satisfying a certain separation condition, then it can be shown that f is almost always essentially the only solution with support contained in the union of those intervals. This holds no matter how many non-real zeroes F has.","PeriodicalId":279385,"journal":{"name":"Topical Meeting on Signal Recovery and Synthesis with Incomplete Information and Partial Constraints","volume":"31 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1983-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125338926","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 63
Some Signal Processing Issues in Radar Target Identification 雷达目标识别中的若干信号处理问题
Topical Meeting on Signal Recovery and Synthesis with Incomplete Information and Partial Constraints Pub Date : 1900-01-01 DOI: 10.1364/srs.1983.wa20
E. Miller
{"title":"Some Signal Processing Issues in Radar Target Identification","authors":"E. Miller","doi":"10.1364/srs.1983.wa20","DOIUrl":"https://doi.org/10.1364/srs.1983.wa20","url":null,"abstract":"When an object (target) is illuminated by an electromagnetic field, the energy it scatters to a given observation point depends upon its geometry and material characteristics, the conditions of illumination (angle of incidence, polarization, frequency(ies), etc.) and the medium through which the field propagates. It is intuitively obvious, and demonstrated by analysis and measurement, that the scattered field (which will also contain, in general, interference and/or noise energy) has impressed or encoded on it information about the target which might somehow be extracted for purposes of: 1) detection (i.e., is there a target?); 2) classification (determine whether the target belongs to a class of interest); 3) recognition (if in the class of interest, which one of that class is it?) and 4) imaging or inversion (reconstruct the target's geometry and/or material properties).*","PeriodicalId":279385,"journal":{"name":"Topical Meeting on Signal Recovery and Synthesis with Incomplete Information and Partial Constraints","volume":"35 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116649080","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Phase Retrieval in Astronomy 天文学中的相位检索
Topical Meeting on Signal Recovery and Synthesis with Incomplete Information and Partial Constraints Pub Date : 1900-01-01 DOI: 10.1364/srs.1983.tha8
J. Fienup
{"title":"Phase Retrieval in Astronomy","authors":"J. Fienup","doi":"10.1364/srs.1983.tha8","DOIUrl":"https://doi.org/10.1364/srs.1983.tha8","url":null,"abstract":"Atmospheric turbulence severely limits the resolution of images from large earth-bound optical telescopes to about one second of arc or worse, as compared with the theoretical diffraction-limited resolution of 0.02 seconds of arc for a 5-meter diameter telescope.","PeriodicalId":279385,"journal":{"name":"Topical Meeting on Signal Recovery and Synthesis with Incomplete Information and Partial Constraints","volume":"149 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125956461","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
Restoration of Multichannel Microwave Imagery To Estimate Rainfall Rates in Hurricanes 恢复多通道微波图像估算飓风降雨率
Topical Meeting on Signal Recovery and Synthesis with Incomplete Information and Partial Constraints Pub Date : 1900-01-01 DOI: 10.1364/srs.1983.wa21
R. Chin, C. Yeh, W. Olson, J. Weinman
{"title":"Restoration of Multichannel Microwave Imagery To Estimate Rainfall Rates in Hurricanes","authors":"R. Chin, C. Yeh, W. Olson, J. Weinman","doi":"10.1364/srs.1983.wa21","DOIUrl":"https://doi.org/10.1364/srs.1983.wa21","url":null,"abstract":"Multichannel microwave radiometers on the Seasat and Nimbus 7 satellites offer a quantitative method to measure rainfall amounts over the ocean. The emissivity of the ocean surface is low and varies predictably with wind speed; it thus provides a good background for observing precipitation. The theory and initial validation of this concept was given by Wilheit et al. [1]","PeriodicalId":279385,"journal":{"name":"Topical Meeting on Signal Recovery and Synthesis with Incomplete Information and Partial Constraints","volume":"4 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126938039","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
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