Adaptive identification system, adaptive identification device, and adaptive identification method

An adaptive identification device for identifying a characteristic of a propagation system by use of an adaptive filter, the adaptive identification device comprising:

• a signal generator configured to generate an identification input signal including a frequency component that is an integer multiple of a fundamental frequency, the identification input signal having periodicity that is persistently exciting;
• a setting unit configured to set moving average time to a fundamental period of the fundamental frequency of the identification input signal;
• and
• an adaptive algorithm execution unit configured to use a moving average value and a diagonal matrix to update a coefficient of the adaptive filter, the moving average value being obtained by calculating a moving average of a cross-correlation vector of a vector of the identification input signal and an observation signal with the moving average time, and the diagonal matrix being obtained by diagonalizing a matrix obtained by calculating a moving average of an autocorrelation matrix of the vector of the identification input signal with the moving average time.

An adaptive identification method performed by an adaptive identification system for identifying a characteristic of a propagation system by use of an adaptive filter, the adaptive identification method comprising:

• generating an identification input signal including a frequency component that is an integer multiple of a fundamental frequency, the identification input signal having a periodicity that is persistently exciting;
• setting moving average time to a fundamental period of the fundamental frequency of the identification input signal;
• and
• using a moving average value and a diagonal matrix to update a coefficient of the adaptive filter, the moving average value being obtained by calculating a moving average of a cross-correlation vector of a vector of the identification input signal and an observation signal with the moving average time, and the diagonal matrix being obtained by diagonalizing a matrix obtained by calculating a moving average of an autocorrelation matrix of the vector of the identification input signal with the moving average time.