We present here a detailed multifractal scaling study for the electronictransmission resonances with the system size for an infinitely large onedimensional perfect and imperfect quasiperiodic system represented by asequence of $\delta$-function potentials. The electronic transmissionresonances in the energy minibands manifest more and more fragmented nature ofthe transmittance with the change of system sizes. We claim that when a smallperturbation is randomly present at a few number of sites, the nature ofelectronic states will change and this can be understood by studying theelectronic transmittance with the change of system size. We report thedifferent critical states manifested in the size variation of the transmittancecorresponding to the resonant energies for both perfect and imperfect casesthrough multifractal scaling study for few of these resonances.
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