compsense.problems.problemBase

class compsense.problems.problemBase(name, noseed=False)

Base class for all CS problems. The problems follow the quation below:

where is an operator acting on a sparse signal and is the observation vector. can be factored into which represents the system response and basis that sparsifies the signal.

Attributes :

name : string

Name of problem.

A : Instance of a subclass of opBase

The matrix of the problem.

M : Instance of a subclass of opBase

, sampling matrix of the problem.

B : Instance of a subclass of opBase

, sparsifying basis matrix of the problem.

b : array of arbitrary shape

:math:’b’, observation array.

signal : array of arbitrary shape

Signal in original basis (Not in the sparsifying basis)

signal_shape : tuple of integers

:math:’b’, Shape of the signal in the sparsifying basis.

Methods :

reconstruct : Reconstruct signal from sparse coefficients.

Parameters :

name : str

Name of the problem

noseed: Boolean, optional (default=False) :

When False, the random seed is reset to 0.

Attributes

A	Response of the problem
B	Base matrix
M	Sampling matrix
b	Observation vector
name	Name of the problem
signal	Signal (Not in sparsifying basis)
signal_shape	Shape of the signal
x0	Solution to problem