Applications
Biomedical signals
The acquisition and processing of bioelectrical signals that appear in the human body is a common theme in clinical studies for evaluating the health status of a patient. The current medical monitoring devices become smaller and wireless. Our new sampling technique can be used to reduce the amount of data to be stored or transmitted.
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Transients
Transient detection has applications in power line analysis, speech and image processing, turbulent flow applications, to name just a few. For instance, in a dynamic power system signal with constantly changing loads, transients can be caused by lightnings, equipment faults, switching operations and so on. It is known that it is difficult to take the discontinuities from damped signals starting at different instants into account. Our new method can detect at each instant how many and which components are present in the signal.
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Audio signals
When represented in terms of appropriate elements, most signals have relatively few nonzero coefficients and hence are compressible. We illustrate the new procedure to reconstruct a signal from only a fraction of the number of samples required traditionally, on a simple audio file, and we compare the results with the ones obtained using compressed sensing.
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Sleep analysis
Polysomnography is used to diagnose or rule out many types of sleep disorders including narcolepsy, periodic limb movement disorder, REM behavior disorder, parasomnias, and sleep apnea. We show how a new technique allows to reconstruct an EOG from far less measurements than usual.