Signal characterization using scale transform pair

We present the "direct inverse scale transform" which is the extension to the "direct scale transform" method originally proposed by Williams, Zalubas and Hero III (see Advanced Signal Processing Algorithms, Architectures and Implementations VI, SPIE, vol.2846, p.262-72, 1996). This scheme completes the calculation of analysis and synthesis equations for the scale transform pair which is suitable especially for non-integer values of dilation or compression of signals. Several examples of transformed and reconstructed synthetic and real 1-D and 2-D signals are included.