Signal reconstruction from partial information of discrete linear canonical transform

Sampling Rate Conversion in the Discrete Linear Canonical Transform Domain

Sampling rate conversion (SRC) is one of important issues in modern sampling theory. It can be realized by up-sampling, filtering, and down-sampling operations, which need large complexity. Although some efficient algorithms have been presented to do the sampling rate conversion, they all need to compute the N-point original signal to obtain the up-sampling or the down-sampling signal in the tim...

Signal reconstruction from Fourier transform sign information

Eigenfunctions of linear canonical transform

The linear canonical transform (the LCT) is a useful tool for optical system analysis and signal processing. It is parameterized by a 2 2 matrix . Many operations, such as the Fourier transform (FT), fractional Fourier transform (FRFT), Fresnel transform, and scaling operations are all the special cases of the LCT. In this paper, we will discuss the eigenfunctions of the LCT. The eigenfunctions...

Linear Signal Reconstruction from Jittered Sampling

This paper presents an accurate and simple method to evaluate the performance of AD/DA converters affected by clock jitter, which is based on the analysis of the mean square error (MSE) between the reconstructed signal and the original one. Using an approximation of the linear minimum MSE (LMMSE) filter as reconstruction technique, we derive analytic expressions of the MSE. Through asymptotic a...

Signal Reconstruction From The Modulus of its Fourier Transform

The problem of signal reconstruction from the magnitude of its Fourier transform arises in many applications where the wave phase is apparently lost or impractical to measure. One example of such an application that has attracted a substantial number of researchers in recent years is Coherent Diffraction Imaging (CDI). CDI is a “lens-less” technique for 2D and 3D nano-objects reconstruction wit...