Joint time-frequency offset detections using the linear canonical transform

In this paper, a method to detect joint time-frequency offset is proposed based on the linear canonical transform. According to the fundamental properties of this transform, a parametric correlation is introduced, which can be regarded as the generalization of methods based on correlation and other transforms. Besides, its maximum can be identified with a line structure in the time-frequency plane. With the advantage of parameters' freedom in the linear canonical transform, some lines containing the time delay and frequency offset in the measured signals can be intersected in the time-frequency plane. And the intersected point is exactly joint time-frequency offset needed to detect out. The theoretical and practical aspects of this detection method are discussed in the paper.