Fig. 7From: Discrete linear canonical wavelet transform and its applicationsBlock diagram representation of the shift sampling and reconstruction procedure in multi-resolution subspaces associated with the LCWT. a The analog input signal f(t) is shift sampled and discretized (the box C/D stands for continuous-to-discrete transformation). b The operator \(\mathcal {T}^{-1}\) maps samples f(t n ) (or D−u[f](n)) to sequences c k . c f(t) can be reconstructed through (59), where \({c_{\delta } }(t) = {\sum \nolimits }_{k \in \mathbb {Z}} {c[k]\delta (t - k)} \)Back to article page