185 research outputs found
Urban Experiments and Concrete Utopias:Platform4 a ‘Bottom Up’ Approach to the Experience City
Perfect partial reconstructions for multiple simultaneous sources
A major focus of research in the seismic industry of the past two decades has
been the acquisition and subsequent separation of seismic data using multiple
sources fired simultaneously. The recently introduced method of {\it signal
apparition} provides a new take on the problem by replacing the random
time-shifts usually employed to encode the different sources by fully
deterministic periodic time-shifts. In this paper we give a mathematical proof
showing that the signal apparition method results in optimally large regions in
the frequency-wavenumber space where exact separation of sources is achieved.
These regions are diamond-shaped and we prove that using any other method of
source encoding results in strictly smaller regions of exact separation. The
results are valid for arbitrary number of sources. Numerical examples for
different number of sources (three resp.~four sources) demonstrate the exact
recovery of these diamond-shaped regions. The theoretical proofs'
implementation in the field is illustrated by the results of a conducted field
test.Comment: 16 pages, 5 figures. Expanded Section 3 with an additional numerical
experiment and the results of a field test. Added reference
Utzon(x) 2013: Tetraleaf:Exhibition Catalogue - The Utzon(x) Architecture Summer School Project 2013
- …