  We present here a detailed multifractal scaling study for the electronic
transmission resonances with the system size for an infinitely large one
dimensional perfect and imperfect quasiperiodic system represented by a
sequence of $\delta$-function potentials. The electronic transmission
resonances in the energy minibands manifest more and more fragmented nature of
the transmittance with the change of system sizes. We claim that when a small
perturbation is randomly present at a few number of sites, the nature of
electronic states will change and this can be understood by studying the
electronic transmittance with the change of system size. We report the
different critical states manifested in the size variation of the transmittance
corresponding to the resonant energies for both perfect and imperfect cases
through multifractal scaling study for few of these resonances.
