A new AFC algorithm is presented in this paper for correcting the sizable carrier frequency offset of a fully-digital MDPSK DSXDMA receiver, which explores the power degradation at the correlator output and has an acquisition range of twice the symbol rate. To achieve fast frequency acquisition, the momentum steepest descent method and modified S-curve are employed in the algorithm. The simplic...

This document supplements the SIGGRAPH 2015 technical paper “Gradient-domain Path Tracing”. We provide additional details and steps in the derivation of a frequency analysis of gradient sampling and reconstruction for Monte Carlo integration, including a numerical experiment that we performed to validate the theory, under its simplifications. We also present full derivations of the Jacobian det...

High frequency linear collider schemes envisage the use of rather high accelerating gradients: 50 to 100 MV/m for Xband and 80 MV/m for CLIC. Because these gradients are well above those commonly used in accelerators, high gradient studies of high frequency structures have been initiated and test facilities have been constructed at KEK [1], SLAC [2] and CERN [3]. The studies seek to demonstrate...

The inherent sensitivity of multiple gradient-echo sequences to the chemical shift is exploited to rapidly map muscle water frequency shifts caused by ultrasonic heating. The use of multiple echoes is shown to offer several advantages over single gradient-echo approaches previously proposed for temperature measurement. An increase in the effective bandwidth significantly reduces aliasing proble...

As the global climate changes, the threat from landslides and debris flows increases. Learning how a watershed initiates landslides under abnormal rainfall conditions and predicting landslide magnitude and frequency distribution is thus important. Landslides show a power-law distribution in the frequency-area distribution. The distribution curve shows an exponent gradient 1.0 in the Sandpile mo...

The activity of auditory afferent fibers depends strongly on the frequency of stimulation. Although the bullfrog’s amphibian papilla lacks the flexible basilar membrane that effects tuning in mammals, its afferents display comparable frequency selectivity. Seeking additional mechanisms of tuning in this organ, we monitored the synaptic output of hair cells by measuring changes in their membrane...

We develop a mathematical framework for quantifying and understanding multidimensional frequency modulations in digital images. We begin with the widely accepted definition of the instantaneous frequency vector (IF) as the gradient of the phase and define the instantaneous frequency gradient tensor (IFGT) as the tensor of component derivatives of the IF vector. Frequency modulation bounds are d...

The activity of auditory afferent fibers depends strongly on the frequency of stimulation. Although the bullfrog's amphibian papilla lacks the flexible basilar membrane that effects tuning in mammals, its afferents display comparable frequency selectivity. Seeking additional mechanisms of tuning in this organ, we monitored the synaptic output of hair cells by measuring changes in their membrane...