Compressive Sensing Demystified

Frank Bucholtz and Jonathan M. Nichols

A little knowledge about an incoming signal can enable superior performance from an inferior instrument.



Collecting a signal of interest and then reconstructing it for subsequent analysis is a task that virtually every experimentalist encounters. It commonly involves digitizing the signal directly at a predefined rate Q (in samples per second, or Sa/s), storing the data and then plotting or analyzing the data using any of several techniques (often spectral analysis). The overall process is so commonplace that a number of important underlying assumptions are often forgotten.

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