Estimation of The Amplitude of Sinusoid in White Noise

The estimation of frequencies and amplitude of sinusoids in noise has many applications in various fields such as fault diagnosis, communications, radar, sonar, and so on. Many algorithms are available to estimate the frequencies of sinusoids either in white noise or in colored noise. This paper is mainly concerned with the estimation of the amplitude of a sinusoid with high resolution in white noise in case of knowing its frequency. The algorithm is suitable not only for stochastic process, but also for deterministic process. To compare effectiveness of the algorithm with that of other estimators, two simulation examples are presented to estimate the amplitudes of sinusoids in white noise with elliptic filter and the algorithm given in this paper. The algorithm is also testified in estimation of the sinusoid´s amplitude at some frequency in a fuel cell system.