Estimation of the impulse response of a system on the basis of binary observations
First Claim
1. A device for identifying an electronic or electromechanical system, comprising:
- a noise generator for generating a noise signal (uk), intended to generate the noise signal at the input of said system;
a one-bit analog digital converter, to which an output signal (sk) of the system is intended to be applied;
an estimation device for carrying out an estimation (ĥ
) of the impulse response of said system comprising;
first calculation means to perform an iterative calculation of a plurality of nh (with nh being an integer) elements (J0, . . . , Ji, . . . , Jnh−
1) of a given criterion J, each element including at least one correlation term between said signal output from said converter and said noise signal;
means for making an estimation (ĥ
k) of the output of said system with the aid of said estimation of the impulse response of said system, said means comprising a second calculation means to apply, to the calculated elements (J0, . . . , Ji, . . . , Jnh−
1) of said given criterion J, a passage function f predetermined as a function of the noise signal (uk) transmitted at the input of said system, and such that;
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Abstract
A method of identifying an electronic or electromechanical system includes: applying at least one noise signal (u) as input to the system, applying an output signal of the system to a one-bit analog digital converter, acquiring a signal at the output of the converter, carrying out an estimation of the output of the system with aid of performing an estimation (ĥ) of the impulse response of the system. The estimation (ĥ) of the impulse response includes: iterative calculation of a plurality of nh elements (J0, . . . , Ji, . . . , Jnh−1) of a given criterion (J), each element including, respectively: at least one term of correlation between the signal at the output of the converter and the noise signal.
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Citations
16 Claims
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1. A device for identifying an electronic or electromechanical system, comprising:
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a noise generator for generating a noise signal (uk), intended to generate the noise signal at the input of said system; a one-bit analog digital converter, to which an output signal (sk) of the system is intended to be applied; an estimation device for carrying out an estimation (ĥ
) of the impulse response of said system comprising;first calculation means to perform an iterative calculation of a plurality of nh (with nh being an integer) elements (J0, . . . , Ji, . . . , Jnh−
1) of a given criterion J, each element including at least one correlation term between said signal output from said converter and said noise signal;means for making an estimation (ĥ
k) of the output of said system with the aid of said estimation of the impulse response of said system, said means comprising a second calculation means to apply, to the calculated elements (J0, . . . , Ji, . . . , Jnh−
1) of said given criterion J, a passage function f predetermined as a function of the noise signal (uk) transmitted at the input of said system, and such that; - View Dependent Claims (2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12)
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13. A method of identifying an electronic or electromechanical system comprising:
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applying at least one noise signal (uk) as input to the system; applying an output signal (sk) of said system to a one-bit analogue digital converter; carrying out an estimation of the output of said system with the aid of means for performing an estimation (ĥ
) of the impulse response of said system, the estimation (ĥ
) of said impulse response comprising;the iterative calculation of a plurality of nh (nh being an integer) elements (J0, . . . , Ji, . . . , Jnh−
1) of a given criterion J, each element including at least one term of correlation between said signal at the output of said converter and said noise signal,estimating the output of said system with the aid of said estimation of the impulse response of said system, said estimating comprising the application to said calculated elements (Ji) of the given criterion (J) of a passage function (f), said passage function (f) being predetermined as a function of said signal applied at the input of said system, and such that; - View Dependent Claims (14)
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15. A device for identifying an electronic or electromechanical system, comprising:
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a noise generator for generating a noise signal (uk), intended to generate a noise signal at the input of said system; a one-bit analog digital converter, to which an output signal (sk) of the system is intended to be applied; an estimation device for carrying out an estimation (ĥ
) of the impulse response of said system comprising;first calculation means to perform an iterative calculation of a plurality of nh (with nh being an integer) elements (J0, . . . , Ji, . . . , Jnh−
1) of a given criterion J, each element including at least one correlation term between said signal output from said converter and said noise signal;means for making an estimation (ĥ
k) of the output of said system with the aid of said estimation of the impulse response of said system, said means comprising a second calculation means to apply, to the calculated elements (J0, . . . , Ji, . . . , Jnh−
1) of said given criterion J, a passage function f predetermined as a function of the noise signal (uk) transmitted at the input of said system, and such that;
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16. A device for identifying an electronic or electromechanical system, comprising:
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a noise generator for generating a noise signal (uk), intended to generate a noise signal at the input of said system; a one-bit analog digital converter, to which an output signal (sk) of the system is intended to be applied; an estimation device for carrying out an estimation (ĥ
) of the impulse response of said system comprising;first calculation means to perform an iterative calculation of a plurality of nh (with nh being an integer) elements (J0, . . . , Ji, . . . , Jnh−
1) of a given criterion J, each element including at least one correlation term between said signal output from said converter and said noise signal;means for making an estimation (ĥ
k) of the output of said system with the aid of said estimation of the impulse response of said system, said means comprising a second calculation means to apply, to the calculated elements (J0, . . . , Ji, . . . , Jnh−
1) of said given criterion J, a passage function f predetermined as a function of the noise signal (uk) transmitted at the input of said system, and such that;
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Specification