The convolution theorem in Section 8.4 is not correct. Multiplication of the DFTs of two signals results in the periodic/circular convolution of the two signals. This is why zero-padding is required ...

Abstract: The offset linear canonical transform (OLCT) plays an important role in many fields of optics and signal processing. In this paper, we address the problem of signal filtering and ...

Abstract: In this paper, generalized representation theorems for acoustic wavefields in perturbed media are derived from convolution- and correlation-type reciprocity theorems. These theorems allow ...