کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4604996 1337536 2015 23 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Phase retrieval from coded diffraction patterns
ترجمه فارسی عنوان
بازیابی فاز از الگوهای پراکندگی کد شده
کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
چکیده انگلیسی

This paper considers the question of recovering the phase of an object from intensity-only measurements, a problem which naturally appears in X-ray crystallography and related disciplines. We study a physically realistic setup where one can modulate the signal of interest and then collect the intensity of its diffraction pattern, each modulation thereby producing a sort of coded diffraction pattern. We show that PhaseLift, a recent convex programming technique, recovers the phase information exactly from a number of random modulations, which is polylogarithmic in the number of unknowns. Numerical experiments with noiseless and noisy data complement our theoretical analysis and illustrate our approach.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied and Computational Harmonic Analysis - Volume 39, Issue 2, September 2015, Pages 277–299
نویسندگان
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