Sensing

Conditions for unique (not exact) recovery from noisy compressed measurements

Conditions for unique (not exact) recovery from noisy compressed measurements
  1. What is sparse signal processing?
  2. What is compressive sensing theory?
  3. Why is compressed sensing important?
  4. What is compressed sensing in image processing?

What is sparse signal processing?

Sparse signals are characterized by a few nonzero coefficients in one of their transformation domains. This was the main premise in designing signal compression algorithms. Compressive sensing as a new approach employs the sparsity property as a precondition for signal recovery.

What is compressive sensing theory?

The compressive sensing theory states that the signal can be reconstructed using just a small set of randomly acquired samples if it has a sparse (concise) representation in certain transform domain.

Why is compressed sensing important?

Compressive sensing possesses several advantages, such as the much smaller need for sensory devices, much less memory storage, higher data transmission rate, many times less power consumption. Due to all these advantages, compressive sensing has been used in a wide range of applications.

What is compressed sensing in image processing?

Compressed sensing (CS) is an image acquisition method, where only few random measurements are taken instead of taking all the necessary samples as suggested by Nyquist sampling theorem. It is one of the most active research areas in the past decade.

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