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Laurent Duval
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Without information on $Φ$, you can obtain almost anything, since $\lambda Φ$ could be a validevalid CS matrix as well. Generally, one imposes structure contraints, such as unit energy for their rows or columns;columns.

This being said, compressive sensing does not compress data in a strict sense, and energy is a poor measure of compressibility. Entropy and norm ratios could be more interesting measures.

Without information on $Φ$, you can obtain almost anything, since $\lambda Φ$ could be a valide CS matrix as well. Generally, one imposes contraints, such as unit energy for their rows or columns;

This being said, compressive sensing does not compress data in a strict sense, and energy is a poor measure of compressibility. Entropy and norm ratios could be more interesting measures.

Without information on $Φ$, you can obtain almost anything, since $\lambda Φ$ could be a valid CS matrix as well. Generally, one imposes structure contraints, such as unit energy for their rows or columns.

This being said, compressive sensing does not compress data in a strict sense, and energy is a poor measure of compressibility. Entropy and norm ratios could be more interesting measures.

Source Link
Laurent Duval
  • 32.3k
  • 3
  • 35
  • 105

Without information on $Φ$, you can obtain almost anything, since $\lambda Φ$ could be a valide CS matrix as well. Generally, one imposes contraints, such as unit energy for their rows or columns;

This being said, compressive sensing does not compress data in a strict sense, and energy is a poor measure of compressibility. Entropy and norm ratios could be more interesting measures.