MUSIC ESTIMATION OF REAL-VALUED SINE-WAVE FREQUENCIES

The main focus of this paper is on the estimation of the frequencies of real-valued sinusoidal signals by using the MUSIC methodology. The MUSIC problem associated with real-valued sine waves turns out to be more intricate than the similar problem corresponding to complex-valued sinusoidal signals. A whole class of weighted MUSIC estimates which solve the real-valued problem is shown to exist. The paper discusses the selection of an appropriate estimate in that class, from both computational and statistical performance standpoints. The unweighted MUSIC estimate is identified as the choice with a good trade-off between computational complexity and statistical accuracy.