System and method for decoding a signal using compressed sensor measurements
AssigneeAT&T Corp.
InventorsGraham Cormode, Shanmugavelayutham Muthukrishnan
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Abstract
Described is a system and method for receiving a plurality of linear projections representing a signal and decoding the plurality of linear projections to produce a reconstruction of the signal. The decoding includes defining a transform matrix and reconstructing coefficients and transforming a dictionary into a modified dictionary for a vector of real numbers. The transforming the transform matrix is performed through a macroseparation matrix, a microseparation matrix, and an estimation vector.
Claims20
A method, comprising:
- receiving, by a signal processor, a plurality of linear projections representing a signal;
- and
- decoding, by the signal processor, the plurality of linear projections to produce a reconstruction of the signal, the decoding including defining a transform matrix and reconstructing coefficients, the decoding further including determining a norm of an error of a difference of a first value and a second value, the first value being a function of a signal vector, the second value being a function of an optimal sparse representation of the signal vector.
A system, comprising:
- a receiving element to receive a plurality of linear projections representing a signal;
- and
- a decoding element to decode the plurality of linear projections to produce a reconstruction of the signal,
- wherein the decoding element includes a defining element to define a transform matrix and reconstruct coefficients, the decoding element further including a determining element to determine a norm of an error of a difference of a first value and a second value, the first value being a function of a signal vector, the second value being a function of an optimal sparse representation of the signal vector.
A computer readable storage medium including a set of instructions executable by a processor, the set of instructions operable to:
- receive a plurality of linear projections representing a signal;
- and
- decode the plurality of linear projections to produce a reconstruction of the signal,
- wherein the decoding includes defining a transform matrix and reconstructing coefficients, the decoding further including determining a norm of an error of a difference of a first value and a second value, the first value being a function of a signal vector, the second value being a function of an optimal sparse representation of the signal vector.
Dependencies are inferred from the claim text.