The paper deals with the blind equalization problem of a single-input single-output infinite impulse response (SISO-IIR) system with additive Gaussian noise. To solve the problem, we propose a new "super-exponential method" (SEM). The novel point of the proposed SEM is that even when Gaussian noise is added to the output of the system, blind equalization can be achieved with as little influence of Gaussian noise as possible; hence the proposed SEM is referred to as a "robust super-exponential method" (RSEM). Simulation results show the validity of the proposed RSEM.