A new type of wavelet transform has been developed for analyzing discrete-time signals. Unlike previous methods, this transform uses a discrete-time signal as the mother wavelet and correlates it with continuous dilations to compute wavelet coefficients. By defining a discrete-time scaling operator, the researchers were able to create forward and inverse wavelet transforms. They also derived an admissibility condition and provided examples of constructing discrete-time wavelets. This new form of wavelet transform is specifically designed for discrete-time signals and allows for analysis and synthesis across a continuous range of scaling factors.