The Nyquist folding receiver (NYFR) is a novel analog-to-information architecture, which can achieve wideband receiving with a small amount of system resource. The NYFR uses a radio frequency (RF) non-uniform sampling to realize wideband receiving, and the practical RF non-uniform sample pulse train usually contains an aperture. Therefore, it is necessary to investigate the aperture impact on the NYFR output. In this letter, based on the NYFR output signal to noise ratio (SNR), the aperture impact on the NYFR is analyzed. Focusing on the aperture impact, the corresponding NYFR output signal power and noise power are given firstly. Then, the relation between the aperture and the output SNR is analyzed. In addition, the output SNR distribution containing the aperture is investigated. Finally, combing with a parameter estimation method, several simulations are conducted to prove the theoretical aperture impact.

Frequency estimation of a complex single-tone in additive white Gaussian noise from irregularly-spaced samples is addressed. In this Letter, we study the periodogram and weighted phase averager, which are standard solutions in the uniform sampling scenarios, for tackling the problem. It is shown that the estimation performance of both approaches can attain the optimum benchmark of the Cramér-Rao lower bound, although the former technique has a smaller threshold signal-to-noise ratio.

In this paper, we propose a fixed monocular camera, which changes the focus cyclically to recognize completely the three-dimensional translational motion of a rigid object. The images captured in a half cycle of the focus change form a multi-focus image sequence. The motion in depth or the focus change of the camera causes defocused blur. We develop an in-focus frame tracking operator in order to automatically detect the in-focus frame in a multi-focus image sequence of a moving object. The in-focus frame gives a 3D position in the motion of the object at the time that the frame was captured. The reconstruction of the motion of an object is performed by utilizing non-uniform sampling theory for the 3D position samples, of which information were inferred from the in-focus frames in the multi-focus image sequences.