A semidiscrete wavelet transform is realized using optical subband decomposition through which a signal is decomposed into translation-invariant subbands. Correspondingly, the translation parameter within each subband is discretized using a CCD array. since the sampling lattice of a CCD array is fixed, the subband signals can be oversampled, critically sampled, or undersampled. The oversampled subband signals contribute to reduced translation dependence and improved robustness. In the presence of additive noise, we show that oversampling reduces the reconstruction error.