{"title":"L-Shape Array for Estimating 2-D directions of Mu 11ip1e-Wave Arrival","authors":"Y. Hua, T. Sarkar","doi":"10.1364/srs.1989.thb2","DOIUrl":"https://doi.org/10.1364/srs.1989.thb2","url":null,"abstract":"For high resolution wave direction finding, much attention has been recently paid on linear arrays which are used to extract 1-D directions of wave arrival. The techniques based on linear (1-D) arrays can be used to extract 2-D directions of wave arrival if two linear arrays oriented to different directions are used and if an additional pairing process is employed. However, we believe that for the 2-D direction estimation, more efficient techniques should be explored based on 2-D arrays.","PeriodicalId":193110,"journal":{"name":"Signal Recovery and Synthesis III","volume":"17 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":"126183246","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}
{"title":"Extending the Measurement Range of Interferometers Through the Use of a Priori Information","authors":"J. Greivenkamp, Russell J. Palum","doi":"10.1364/srs.1989.tha2","DOIUrl":"https://doi.org/10.1364/srs.1989.tha2","url":null,"abstract":"The primary limitation of conventional phase-shifting interferometry (PSI) is its inability to measure the shapes of surfaces or wavefronts with large departures from a best-fit reference sphere. The surface must have limited asphericity. The reason for this limitation is that the current phase-shifting algorithms will correctly reconstruct the wavefront only if the change of the wavefront between adjacent measurement points is less than a half wave. This requirement arises from the need to remove the 2π phase discontinuities that result from an inverse tangent in the data reduction algorithm for PSI. These statements are equivalent to saying that the maximum permissible fringe frequency in the interferogram is the Nyquist frequency of the sensor (there must be two samples per fringe). Fringes at higher spatial frequencies are aliased by the sensor.","PeriodicalId":193110,"journal":{"name":"Signal Recovery and Synthesis III","volume":"132 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":"130954403","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}
{"title":"On a Remarkable Property of Phase-Closure Imaging: Generalized Inverse via Backprojection Mechanisms","authors":"A. Lannes","doi":"10.1364/srs.1989.wc5","DOIUrl":"https://doi.org/10.1364/srs.1989.wc5","url":null,"abstract":"The phase-restoration procedure, which is a key element in solving the inverse problems of aperture synthesis, can be decomposed into two main stages. The first one is characterizing the space of solutions resulting from the phase-closure data; the second amounts to localizing the final solution in this space by taking into account additional constraints. Although these problems are closely imbricated, as revealed by the hybrid approaches [1], it is essential to examine them separately to clarify the analysis. This should help in defining the optimal method to be implemented in each particular situation. All the elements presented in this paper appear in the general framework of what may be called spectral extrapolation in phase-closure imaging. As shown in Refs. [2-4], the compromise to be found between resolution and robustness requires a good understanding of the inverse problems encountered in this field. In this paper, we simply propose a new formulation of the algebraic properties of phase-closure imaging, and outline some algorithmic implications concerning the first stage of the phase-restoration procedure.","PeriodicalId":193110,"journal":{"name":"Signal Recovery and Synthesis III","volume":"22 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":"130138328","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}
M. Nieto-Vesperinas, M. J. Pérez-Ilzarbe, R. Navarro
{"title":"Object reconstruction from experimental far-field data using phase retrieval algorithms","authors":"M. Nieto-Vesperinas, M. J. Pérez-Ilzarbe, R. Navarro","doi":"10.1364/srs.1989.fb4","DOIUrl":"https://doi.org/10.1364/srs.1989.fb4","url":null,"abstract":"Recently a Simulated Annealing (S.A.) algorithm has been put forward [1] for phase retrieval from the power spectrum of a real and positive object. This method has been succesfully used in computer simulations, of object reconstruction, with different signal to noise ratios [2] and also of photon-limited stellar speckle interferometry [3]. The algorithm is flexible and permits an easy introduction of additional constraints. Its performance is uniformly high. However, it requires a rather lengthy computing time. In some cases, it can be accelerated by using first the hybrid input-output version of the iterative Fourier trasform (I.F.T.) algorithm [4-6].","PeriodicalId":193110,"journal":{"name":"Signal Recovery and Synthesis III","volume":"44 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":"130337867","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}
{"title":"Reconstruction of Objects Viewed through Turbulence Using the Triple Correlation","authors":"J. Dainty, M. Northcott, G. Ayers","doi":"10.1364/srs.1989.wa2","DOIUrl":"https://doi.org/10.1364/srs.1989.wa2","url":null,"abstract":"Since the invention in 1970 by Labeyrie1 of the technique of stellar speckle interferometry, there have been many attempts to extend it to produce diffraction-limited images through turbulence. In speckle interferometry, short exposure (≈10ms) images i(x) are recorded through a narrowband filter (≈10nm) and an estimate is made of the average energy spectrum <|I(u)|2> of the image, where I(u) is the Fourier transform of i(x).","PeriodicalId":193110,"journal":{"name":"Signal Recovery and Synthesis III","volume":"27 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":"125655632","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}
{"title":"Regularized Reconstruction of Nonnegative Images Degraded by a Point-spread Function with a Band-limited Transfer Function","authors":"M. Koshy, J. Sedat, D. Agard","doi":"10.1364/srs.1989.wc3","DOIUrl":"https://doi.org/10.1364/srs.1989.wc3","url":null,"abstract":"In the reconstruction of images obtained from diffraction-limited optical systems such as two and three-dimensional light microscopic images, the observed image can be modeled as the convolution of the actual image with a point spread function, whose transfer function is band limited [1]. In addition, such images are contaminated by additive noise, whose signal to noise ratio we assume can be estimated. To obtain a reconstruction which contains information about the actual images in the frequency region where the optical transfer function is zero, additional constraints, such as positivity must be imposed [2].","PeriodicalId":193110,"journal":{"name":"Signal Recovery and Synthesis III","volume":"20 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":"125090684","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}