Unsynchronized time series visualization
As far as estimating similarity between the time series series there is a variety of methods you may want to investigate. Some of those are:

cross correlation: this will be affected by the amplitude and will not be able to estimate lagged correlations, prone to noise.
coherence: normalised frequency based correlation (cross-spectrum), not prone to amplitude or noise.
wavelet coherence: similar to above but based on wavelet transformations instead of STFFT.
dynamic time warping: measuring similarity between two temporal sequences, which may vary in speed.