Concrete algorithm for estimating unknown frequencies of triple-tone signals

Prony´s method is an approximation approach to decomposing sum of exponents, and thus, is applicable to unknown frequencies estimation of signals. The concrete algorithm to detect the frequencies in triple-tone signals is derived by algebraic approach. The algorithm is evaluated by numerical calculations to find that the algorithm is applicable for the signal processing. Treatment of the discriminant of the equation, and consideration of a multi-tone algorithm are also discussed.