O. Besson et P. Stoica, Simple test for distinguishing constant from time-varying amplitude in harmonic retrieval, IEEE SIGNAL, 47(4), 1999, pp. 1137-1141
In many harmonic retrieval problems, it is not known a priori whether the a
mplitude of the sinusoidal signals dealt with is constant or time varying.
In such applications, a key problem, prior to or in conjunction with freque
ncy estimation, is to decide between these two alternatives or hypotheses.
In this correspondence, a statistical test for this Problem is derived, bas
ed on the statistics of the difference between two frequency estimates. The
test is computationally efficient and yields, as a by-product, consistent
frequency estimates under either hypothesis. Numerical examples are include
d to show the performance of the proposed test.