In this paper we revisit the issue of determining the oscillating primordial scalar power spectrum and oscillating equation of state of dark energy from the astronomical observations .
By performing a global analysis with the Markov Chain Monte Carlo method , we find that the current observations from five-year WMAP and SDSS-LRG matter power spectrum , as well as the “ union ” supernovae sample , constrain the oscillating index of primordial spectrum and oscillating equation of state of dark energy with the amplitude less than |n _ { amp } | < 0.116 and |w _ { amp } | < 0.232 at 95 \% confidence level , respectively .
This result shows that the oscillatory structures on the primordial scalar spectrum and the equation of state of dark energy are still allowed by the current data .
Furthermore , we point out that these kinds of modulation effects will be detectable ( or gotten a stronger constraint ) in the near future astronomical observations , such as the PLANCK satellite , LAMOST telescope and the currently ongoing supernovae projects SNLS .