Method and system for jointly separating noise from signals

Patent metadata

Field	Value
Publication number	US-2016341814-A1
Application number	US-201615175886-A
Country	US
Kind code	A1
Filing date	Jun 7, 2016
Priority date	Mar 9, 2012
Publication date	Nov 24, 2016
Grant date	—

Abstract

A system for reception of electromagnetic waves in a spectrum in which interference with radio frequencies of other electronics devices occurs comprising a transmitter; at least one receiver configured to receive the received signal; each received signal organized into a digital vector; at least one memory portion configured to store a plurality of received signals in a vector form; the vectors being combined into a matrix, each vector of the matrix being a digital data record representing a received signal; at least one processor operatively connected to the at least one memory portion; the at least one processor configured to estimate that portion of the received signal attributable to noise; the at least one processor operating to jointly estimate a minimal number of distinctive noise patterns and minimize the simplicity of the data of interest; the at least processor operating to process the noise and data of interest separately.

First claim

What is claimed is:

1 . A system for reception of electromagnetic waves in a spectrum in which interference with radio frequencies of other electronics devices occurs comprising:
at least one transmitter configured to transmit signals at a wide range of frequencies, including frequencies in which RF devices transmit; at least one receiver configured to receive the received signal; each received signal organized into a digital vector; at least one memory portion configured to store a plurality of received signals in a vector form; the vectors being combined into a matrix, each vector of the matrix being a digital data record representing a received signal; at least one processor operatively connected to the at least one memory portion; the at least one processor configured to estimate that portion of the received signal attributable to noise; the at least one processor operating to jointly estimate a minimal number of distinctive noise patterns and minimize the simplicity of the data of interest; the at least processor operating to process the noise and data of interest separately.

2 . The system of claim 1 wherein the at least one memory portion comprises a first portion for storing the received signal, a second portion in which the processor stores the noise and a third memory portion in which the at least one processor stores the data of interest.

3 . The system of claim 1 wherein the noise and data is separated by using the optimization problem:

{

R
^

,

X
^

}

=

arg



min

R
,
X





rank


(
R
)

+

λ



X


0




subject



to



Y

=

X
+
R

where Y is the received signal which is separated into components X representing the data of interest and R representing the noise; the rank operator computes the matrix rank of R whereas the to-norm of the matrix X counts the number of its non-zero entries, and searches for the lowest-rank matrix R and the sparsest matrix X with respect to the constraint that the noise R and data X to the received signal matrix Y

4 . The system of claim 1 wherein the noise and data is separated by using the optimization problem:

{

R
^

,

X
^

}

=

arg



min

R
,
X




R


*

+

λ



X


1




subject



to



Y

=

X
+
R

where Y is the received signal which is separated into components X representing the data of interest and R representing the noise, ∥R∥* is the nuclear norm of R, approximating its rank, while ∥X∥ 1 is the l 1 entry norm of X , approximating its simplicity level, and the λ parameter controls the trade-off between the two components with respect to the constraint that the noise R and data X to the received signal matrix Y.

5 . The system of claim 1 wherein the noise and data is separated by using the optimization problem:

{

R
^

,

S
^

}

=

arg



min

R
,
S




R


*

+

λ


Assignees

• U S Army Res Laboratory Attn: Rdrl-Loc-I

Inventors

• Nguyen Lam H
• Tran Trac D

Classifications

• G01S13/90

  using synthetic aperture techniques {, e.g. synthetic aperture radar [SAR] techniques} · CPC title

• G01S7/023 Primary

  Interference mitigation, e.g. reducing or avoiding non-intentional interference with other HF-transmitters, base station transmitters for mobile communication or other radar systems, e.g. using electro-magnetic interference [EMI] reduction techniques (auxiliary means for detecting or identifying radar signals or the like G01S7/021; means for anti-jamming G01S7/36) · CPC title

• H04B17/345

  Interference values ({signal-to-interference ratio [SIR] or carrier-to-interference ratio [CIR]} H04B17/336) · CPC title

• G01S13/0209

  Systems with very large relative bandwidth, i.e. larger than 10 %, e.g. baseband, pulse, carrier-free, ultrawideband · CPC title

• H04L25/03305

  Joint sequence estimation and interference removal (joint detection of several desired signals H04L25/03331) · CPC title