A method of system identification by use of exponentially weighted antisymmetric M-sequence.

概要

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A new method is proposed for the identification of a linear system as well as a nonlinear system by use of a exponentially weighted antisymmetric M-sequence signal.At first, some properties of the exponentially weighted antisymmetric M-sequence are summarized and it is shown that the Wiener-Hopf type integral equation can be easily deconvoluted when we use the exponentially weighted antisymmetric M-sequence as an input to the system. The impulse response can be easily obtained from the crosscorrelation function between the input and the output of the system, by simply multiplying by the known factors.This method can be applied for identifying a non-linear system, and the first-order Volterra kernel is obtained without being affected by the second-order kernel.The results of computer simulation show good agreement with the theoretical consideration.
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