Jimmy Jamison (@jjamison)

BS and MS degrees in electrical engineering, working as a signal processing engineer.

I have only used MUSIC for parameter estimation, and haven't heard of using MUSIC to reconstruct a signal.  Could you link to the paper you're referring to?
Maybe this will clear some things up for you.  But there are two common applications for MUSIC (there are probably more but these are the two I know of).  That...
Unless I am misunderstanding your question, you're going to need a linearly increasing sample rate to get a linearly increasing bandwidth which I don't see how you...

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