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Estimation of q for $\ell _{q}$-minimization in signal recovery with tight frame

Estimation of q for $\ell _{q}$-minimization in signal recovery with tight frame

Abstract This study aims to reconstruct signals that are sparse with a tight frame from undersampled data by using the $\ell _{q}$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msub> <mml:mi>ℓ</mml:mi> <mml:mi>q</mml:mi> </mml:msub> </mml:math> -minimization method. This problem can be cast as a $\ell _{q}$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msub> <mml:mi>ℓ</mml:mi> <mml:mi>q</mml:mi> </mml:msub> </mml:math> -minimization problem with …