2004
DOI: 10.1080/00207720412331297929
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Blind parametric identification of non-Gaussian FIR systems using higher order cumulants

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Cited by 19 publications
(27 citation statements)
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“…A detailed presentation of the theory of cumulants estimation can be found in [9], [4]. As cumulants are expressed in terms of moments, the estimates of cumulants are obtained as follows: …”
Section: Cumulants Estimationmentioning
confidence: 99%
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“…A detailed presentation of the theory of cumulants estimation can be found in [9], [4]. As cumulants are expressed in terms of moments, the estimates of cumulants are obtained as follows: …”
Section: Cumulants Estimationmentioning
confidence: 99%
“…In the literature there is many important algorithms based on higher order cumulant [1][2][3][4]. In this work, structure of the model is generally used single variable, discrete time, invariant in time.…”
Section: Algorithm Based On Cumulantsmentioning
confidence: 99%
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“…In the literature we have important results, established that blind identification of finite impulse response (FIR) single-input single-output (SISO) communication channels is possible only from the output second order statistics of the observed sequences [1]. But these approaches are sufficient only to identify Gaussian processes with minimal phase [2][3][4]. Moreover, the system to be identified has no minimum phase, excited by non Gaussian distribution input, and is contaminated by a Gaussian noise [2,3] where the autocorrelation function (second order statistics) does not allow identifying the system correctly [2][3][4].…”
Section: Introductionmentioning
confidence: 99%
“…But these approaches are sufficient only to identify Gaussian processes with minimal phase [2][3][4]. Moreover, the system to be identified has no minimum phase, excited by non Gaussian distribution input, and is contaminated by a Gaussian noise [2,3] where the autocorrelation function (second order statistics) does not allow identifying the system correctly [2][3][4]. To overcome these problems, another approach was proposed by several authors [5-9, 11, 12, 13].This approach allow the resolution of the insoluble problems using the second order statistics.…”
Section: Introductionmentioning
confidence: 99%