For example, if I could do some filtering operation on original signal, is there way a to do the same filtering operation directly on the compressed measurements as long as the filter preserves the sparsity of the signal? I.e. say the filter keeps all k-sparse signals to remain k-sparse?
A good place to start is Mark Davenport et al.'s "Signal processing with compressive measurements" (http://users.ece.gatech.edu/~mdavenport/publications/dbwb-jstsp-2010.pdf / http://dx.doi.org/10.1109/JSTSP.2009.2039178).
An example of one of the methods, compressed classification, can been seen applied in reception of spread spectrum signals in our paper "Demodulating Subsampled Direct Sequence Spread Spectrum Signals using Compressive Signal Processing" (http://vbn.aau.dk/en/publications/demodulating-subsampled-direct-sequence-spread-spectrum-signals-using-compressive-signal-processing%280a9dc47a-e849-4321-9b0d-8bbac6d3159e%29.html).
- Badges
- Science topic
- Similar topics
- Engineering
- Electrical Engineering
- Signal Processing