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Estimate of the gain characteristics of systems by using a transient response is essential for the development of our data-driven loop shaping method, and we have proposed an estimation method using a filterbank. Estimate of the l2 gain is also essential for model validation and the extension theorem gives the theoretical basis. In this paper, the relationship between our estimation method and the l2 gain estimation method based on the extension theorem is clarified, and a method for a proper setting of bandpass filter parameters is proposed. Further, the l2 gain estimates by using these methods are compared in accuracy, efficiency, and robustness against noise by numerical experiments.