Does the Orthogonal Matching Pursuit (OMP) algorithm work well when applied for complex measurement vector with complex dictionary and complex noise?

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Mohamed-Mourad Lafifi

Dear Elie Sfeir,

I suggest you to see links and attached files on topic.

Positioning and Navigation in Complex Environments

https://books.google.dz › books

Information Technologies in Biomedicine

algorithms for simultaneous sparse approximation part i: greedy pursuit

citeseerx.ist.psu.edu › viewdoc › download

Recovery of Quantized Compressed Sensing Measurements

www.physis-project.eu › _docs › Recovery of Quantize...

Applications of the Orthogonal Matching Pursuit - IntechOpen

cdn.intechopen.com › pdfs › InTech-Applications_of_t...

Best regards

A K M Sharoar Jahan Choyon

Complex Orthogonal Matching Pursuit and Its Exact Recovery Conditions

June 2012

Rong Fan, Qun Wan, Yipeng Liu, Xiao Zhang

Zehao Lee

Have you solved this problem？ because I have doubts about it too

Evelyn Wang

I also have the same problem.

It seems that OMP/MP could solve complex values according to the papers below. However, I wonder whether the process would need to change or not change (like converting a complex matrix to a concatenate of its real and image part) when applied to complex values.

Matching pursuits with time-frequency dictionaries(https://www.di.ens.fr/~mallat/papiers/MallatPursuit93.pdf)

A compressed sensing method for complex-valued signals with application to through-the-wall radar imaging to through-the-wall radar image(https://ro.uow.edu.au/cgi/viewcontent.cgi?referer=&httpsredir=1&article=2641&context=eispapers)