Phase Retrieval And Zero Crossings

Phase Retrieval and Zero Crossings

'Et moi, ... , si j'avait su comment en :revenir, One scrvice mathematics has rendered the je n'y scrais point alle.' human race. lt has put common sense back Jules Veme where it bdongs, on the topmost shelf next to the dusty canister labclled 'discarded non- The series is divergent; therefore we may be sense'. able to do something with it. Erle T. Bc1l 0. Heaviside Mathematics is a tool for thought. A highly necessary tool in a world where both feedback and non­ linearities abound. Similarly, all kinds of parts of mathematics serve as tools for other parts and for other sciences. Applying a simple rewriting rule to the quote on the right above one finds such statements as: 'One service topology has rendered mathematical physics .. .'; 'One service logic has rendered com­ puter science .. .'; 'One service category theory has rendered mathematics .. .'.All arguably true. And all statements obtainable this way form part of the raison d'etre of this series.

Phase Retrieval and Zero Crossings

Deals with signal reconstruction from incomplete, noisy data. Two aspects in particular are considered: phase retrieval, which originated in x-ray crystallography and astronomical interferometry; and the problem of signal recovery from zero crossings. Also explores the differences in mathematical re

Phase Retrieval and Zero Crossings