Traditional video capture is limited by the trade-off between spatial and temporal resolution. When capturing videos of high temporal resolution, the spatial resolutions decreases due to bandwidth limitations in the capture system. Achieving both high spatial and temporal resolution is only possible with highly specialized and very expensive hardware; although the bandwidth is higher, the same ...

We present two recursive techniques to construct compressed sensing schemes that can be “decoded" in sub-linear time. The first technique is based on the well studied code composition method called code concatenation where the “outer" code has strong list recoverability properties. This technique uses only one level of recursion and critically uses the power of list recovery. The second recursi...

Compressed sensing is a relatively new signal processing technique whereby the limits proposed by the Shannon-Nyquist theorem can be exceeded under certain conditions imposed upon the signal. Such conditions occur in many real-world scenarios, and compressed sensing has emerging applications in medical imaging, big data, and statistics. Finding practical matrix constructions and computationally...

A general echo model is derived for the synthetic aperture radar (SAR) imaging with high resolution based on the scalar form of Maxwell’s equations. After analyzing the relationship between the general echo model in frequency domain and the existing model in time domain, a compressive sensing (CS) matrix is constructed from random partial Fourier matrices for processing the range CS SAR imaging...

Compressive sensing (CS) is an emerging methodology in computational signal processing that has recently attracted intensive research activities. At present, the basic CS theory includes recoverability and stability: the former quantifies the central fact that a sparse signal of length n can be exactly recovered from far fewer than n measurements via 1-minimization or other recovery techniques,...

In digital communication, the bandwidth efficiency is one of the most important parameter to measure different modulation schemes, while the separation of waveforms in time domain of existing modulation schemes make it difficult to improve their bandwidth efficiency. Hence, in past decade researchers and engineers continuously try to find out the way to solve out this biggest problem in the fie...

Moore’s law has allowed the microprocessor market to innovate at an astonishing rate. We believe microchip implants are the next frontier for the integrated circuit industry. Current health monitoring technologies are large, expensive, and consume significant power. By miniaturizing and reducing power, monitoring equipment can be implanted into the body and allow 24/7 health monitoring. We plan...

This paper demonstrates how new principles of compressed sensing, namely asymptotic incoherence, asymptotic sparsity and multilevel sampling, can be utilised to better understand underlying phenomena in practical compressed sensing and improve results in real-world applications. The contribution of the paper is fourfold: First, it explains how the sampling strategy depends not only on the signa...