Course number and name:

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Instructors:

Venue:

Syllabus:

Week Date Subject
1 25 Sept WSH/LMD - Introduction WSH - Conventional Beamforming Time delay and sum (arbitrary distribution of elements).
2 30 Sept, 2 Oct WSH - Conventional Beamforming Line array beamforming (plane wave beamforming, spatial transfer function, grating lobes and visible/invisible space, ocean acoustics examples). FFT beamforming (plane wave beamforming, FFT as a spatial transform, normalization for absolute values, ocean acoustics examples).
3 7,9 Oct WSH - Adaptive Beamforming Constrained and unconstrained adaptation (adaptive spatial filtering and relationship to adaptive filtering, incorporation of look direction constraints, ocean acoustics examples).
4 14,16 Oct WSH - Matched Field Processing Incorporation of full-wavefield propagation models (comparison with plan-wave signal models, replica vector generation, generalization of beamforming equations, ocean acoustics examples).
5 21,23 Oct LMD - Introduction The wave equation and representations of simple solutions. Phase velocity. Useful expansions and transforms. Impulse response. Array output maximization. Waves in a homogeneous space.
6 28,30 Oct LMD - Beamforming in Geophysics Response of simple linear and planar arrays. Subarrays. Arrays as spatial filters. Estimation of signal and noise fields, The cross-spectral matrix and its properties .
7 4,6 Nov LMD - Beamforming in Geophysics Implications of array design. Sparse array techniques. Kinds of horizontal wavefunctions.
8 11,13 Nov LMD - Beamforming in Geophysics Subspace methods. Seafloor application.
9 18,20 Nov LMD - Beamforming in Geophysics. Land applications.
10 25 Nov Gerald D'Spain - Swallow Floats / Vertical DIFAR Array or Peter Gerstoft - Genetic Algorithms in Array Processing.
11 2,4 Dec Presentation of student projects.
12 10 Dec Final projects due (Wed).

Note: There will be no exams. Students will prepare mid-term and ---- end-term projects (which can be incremental steps with a single focus). Students are encouraged to select projects from their own area of research. Analysis of real data sets is particularly appropriate and is encouraged. For students who have no data of their own, we can provide data sets. WSH has extensive data from linear hydrophone arrays and LMD had data from Ocean-Bottom seismometers and land geophones. For examples see ABM Experiment .