  Having reviewed the aspects of the linear and synchrosqueezed time-frequency
representations (TFRs) needed for their understanding and correct use in Part I
of this review, we now consider three more subtle issues that are nonetheless
of crucial importance for effective application of these methods. (i) What
effect do the window/wavelet parameters have on the resultant TFR, and how can
they most appropriately be chosen? (ii) What are the errors inherent in the two
reconstruction methods (direct and ridge) and which of them is the better?
(iii) What are the advantages and drawbacks associated with synchrosqueezing?
To answer these questions, we perform a detailed numerical and theoretical
study of the TFRs under consideration. We consider the relevant estimates in
the presence of the complications that arise in practical applications
including interference between components, amplitude modulation, frequency
modulation, and noise. Taken together, the results provide an in-depth
understanding of the issues in question.
