By the mean of FTIR coordinated and uncoordinated perchlorate can be distinguished by the presence of a band near 650 cm−1, see details in publication below (in the case of copper(II) perchlorate). Second publication is about Ni(II) complexes):
From my experience, there is two zones in the IR spectrum to study: near 600 cm-1 and near 1.000-1100 cm-1. When the ClO4 is a free anión (is a counter-ion species) a sharpe and strong band appears near 600 cm-1 and a broad and very strong band at 1100 cm-1. When this species is coordinating to a metal center the first split in two bands or more (depending on the symmetry) as well as the pattern of the last one become more complicated (the broad appearance becomes in a split pattern) because the stretching mode of the vibration Cl-O is not the same for the four bonds in the coordinated species as well as the Td symmetry of the CLO4 species has changed to a minor symmetry. In addition, if the CLO4 species is coordinating to a metal center there will be appeared in the FAR-IR spectrum the correspondent band(s) due to the metal-O stretching modes.