Method of Harmonic Analysis when Any One of the Observed Values is unknown

[摘要] If a periodic phenomena y shown by a functionis observed at six equidistant points throughout the period, the coefficients A0, A1, B1, A2 and B2 can be determined by the method of harmonic analysis. But, when one of the observed values, y1, for example, is unknown, the usual method can not be used. The author proposes a method of harmonic analysis for such a case. In this case' we may estimate graphically the unknown value, namely y1", and with this estimated value togather with the observed values, we can determine the coefficients provisionally. From these coefficients we can calculate the value of y1, and call it y1". Then the true value of y1, is given by the following equation, Generally, when the periodic phenomena is shown by the function, above method is applied repeatedly, and the most probable value of y1, may be determined.Similarly, when one of the observed values at 2m equidistant points throughout the period of the function is unknown, the same method may be applied, and the most probable value of the unknown one is given by the equation

[学科分类] 大气科学