Title :
Signal reconstruction from Fourier transform magnitude using Markov random fields in X-ray crystallography
Author :
Doerschuk, Peter C.
Author_Institution :
Sch. of Electr. Eng., Purdue Univ., West Lafayette, IN, USA
Abstract :
A Bayesian binary signal reconstruction problem which includes noisy magnitude of Fourier transform measurements and a Markov random field a priori model is solved. The solution is analytical and is based on the spherical model and small noise asymptotic approximations. Parameters in the solution are used for data adaptation. The problem is motivated by the phase retrieval problem in X-ray crystallography
Keywords :
Bayes methods; Fourier transforms; Markov processes; X-ray crystallography calculation methods; signal synthesis; Bayesian binary signal reconstruction; Fourier transform measurements; Markov random fields; X-ray crystallography; data adaptation; noisy magnitude; phase retrieval problem; small noise asymptotic approximations; spherical model; Atomic measurements; Bayesian methods; Bonding; Crystallography; Electrons; Fourier transforms; Lattices; Markov random fields; Sampling methods; Signal reconstruction;
Conference_Titel :
Acoustics, Speech, and Signal Processing, 1992. ICASSP-92., 1992 IEEE International Conference on
Conference_Location :
San Francisco, CA
Print_ISBN :
0-7803-0532-9
DOI :
10.1109/ICASSP.1992.226466
