Abstract: Performance of FFT frequency estimation of single tones based instantaneous frequency estimators for noisy single-tone sinusoid signal is investigated under impulsive multiplicative noise with different value of Poisson parameter as well as comparative study on the performance of the FFT frequency estimation methods under impulsive, Gaussian and uniform multiplicative noise with different values of power is presented. This study presents simulation of impulsive noise and analysis study of its damage effect on FM signalin time domain. Effect of Poisson parameter in damage effect of impulsive noise on FM signal has been investigated. Simulation results show that impulsive noise has less impairment effect at high value of Poisson parameter. FFT frequency estimation method is the best estimator under impulsive multiplicative noise in terms of minimum mean squared estimation error, especially, at high value of Poisson parameter.