Low-degree solar oscillation spectrum with wavelet decomposition

We present the technique and results of processing the observations of the solar oscillations with frequencies of 1.5–4.0 mHz. We used the time series obtained in the period 1990–1996 in the International IRIS project. The power spectrum averaged over the entire observing period was estimated from the spectra of each year preaveraged with five orthogonal tapers. The spectral profiles of the individual modes with degree l = 0 and orders n ? 12–26 were fitted using a wavelet decomposition with thresholding of the high-frequency decomposition levels. The smoothed power spectrum estimate has a considerably smaller variance, but also a lower density of reference points. The derived smoothed profiles were used to determine the eigenfrequencies by two methods: from the local peak and from the correlation between the neighboring peaks, which correspond to a nonparametric estimation procedure. For the radial modes (l = 0), there is good agreement with the independent parametric maximum likelihood frequency estimates.