  We propose a decomposition method for the spectral peaks in an observed
frequency spectrum, which is efficiently acquired by utilizing the Fast Fourier
Transform. In contrast to the traditional methods of waveform fitting on the
spectrum, we optimize the problem from a more robust perspective. We model the
peaks in spectrum as pseudo-symmetric functions, where the only constraint is a
nonincreasing behavior around a central frequency when the distance increases.
Our approach is more robust against arbitrary distortion, interference and
noise on the spectrum that may be caused by an observation system. The time
complexity of our method is linear, i.e., $O(N)$ per extracted spectral peak.
Moreover, the decomposed spectral peaks show a pseudo-orthogonal behavior,
where they conform to a power preserving equality.
