Principal Component Analysis of high dimensional data often runs into time and memory limitations. This is especially the case if the dimension and the number of data set elements is of about the same size. We propose a new method to calculate Principal Components based on Compressive Sensing. Compressive Sensing can be interpreted as a new method for data compression with a number of positive ...

Gathering data in an energy efficient manner in wireless sensor networks is an important design challenge. In wireless sensor networks, the readings of sensors always exhibit intra-temporal and inter-spatial correlations. Therefore, in this letter, we use low rank matrix completion theory to explore the inter-spatial correlation and use compressive sensing theory to take advantage of intra-temp...

Fig.2 CEST acceleration: (a) shows the recovered CEST images at the z shift corresponding to maximum CEST contrast. (b) indicates the average of the z spectra at two regions of interest, one within the yolk (top) and the other within the white regions (bottom). Note that the degradation in the performance is graceful with acceleration. 6711 ACCELERATED CEST MRI USING COMPRESSIVE SENSING AND MUL...

Cooperative wide-band spectrum sensing has been considered to enable cognitive radio operation of wireless regional area networks (WRAN) in the UHF and VHF TV broadcasting bands. In this paper, cooperative compressed spectrum sensing is considered to enable fast sensing of the wide-band spectrum. The speed and accuracy of spectrum sensing are improved by further optimization of the compressed s...

Compressed sensing is an exciting, rapidly growing field which has attracted considerable attention in electrical engineering, applied mathematics, statistics, and computer science. Since its initial introduction several years ago an avalanche of results have been obtained both of a theoretical as well as practical nature, and various conferences, workshops, and special sessions have been dedic...

The steady growing number of quantum bits used in modern quantum information experiments gives rise to new problems. Especially if we want to determine the quantum state used in an experiment, i.e. ascertain the density matrix of the state, the number of needed measurement settings scales exponentially bad with Θ(4n), where n is the number of qubits. Compressed sensing is a technique developed ...