A Scalable Correlator Architecture Based on Modular FPGA Hardware, Reuseable Gateware, and Data Packetization

A new generation of radio telescopes is achieving unprecedented levels of sensitivity and resolution, as well as increased agility and field-of-view, by employing high-performance digital signal processing hardware to phase and correlate large numbers of antennas. The computational demands of these imaging systems scale in proportion to BMN^2, where B is the signal bandwidth, M is the number of independent beams, and N is the number of antennas. The specifications of many new arrays lead to demands in excess of tens of PetaOps per second. To meet this challenge, we have developed a general purpose correlator architecture using standard 10-Gbit Ethernet switches to pass data between flexible hardware modules containing Field Programmable Gate Array (FPGA) chips. These chips are programmed using open-source signal processing libraries we have developed to be flexible, scalable, and chip-independent. This work reduces the time and cost of implementing a wide range of signal processing systems, with correlators foremost among them,and facilitates upgrading to new generations of processing technology. We present several correlator deployments, including a 16-antenna, 200-MHz bandwidth, 4-bit, full Stokes parameter application deployed on the Precision Array for Probing the Epoch of Reionization.Comment: Accepted to Publications of the Astronomy Society of the Pacific. 31 pages. v2: corrected typo, v3: corrected Fig. 1

Classic wisdom about ways to happiness: How does it apply today?

__Abstract__ Since we humans have some choice in how we live our lives, there has always been ideas about what constitutes a good life. Written reflections on that subject focus typically on moral issues, but there have always been ideas about what constitutes a satisfying life. Interest in this classic wisdom is increasing today, as part of the rising concern about happiness. This begs the question of what we can learn from this ancient wisdom. Does it hold universal truth? Or are these views specific for the historical conditions from which they emerged? In this paper I consider some classic beliefs about happiness and inspect how well these apply in contemporary society. The following five beliefs are considered: 1) Happiness is found in fame and power: follow the path of the warrior. 2) Happiness is found in wealth and involvement: follow the path of the merchant. 3) Happiness is found in intellectual development: follow the path of the philosopher. 4) Happiness is found in simplicity: follow the path of the peasant. 5) Happiness is not of this world: follow the path of the monk. Each of these ways to happiness will manifest in specific behaviors and attitudes and I inspected to what extent these go together with happiness today. To do this. I selected relevant research findings from the World Database of Happiness. The classic beliefs 1 and 2 seem to apply fairly well today, but 3 and 4 not. The advice to seek happiness in other-worldly detachment (5) may have been more sensible in the brutish conditions of feudal society, in which it emerged

Random walk generated by random permutations of {1,2,3, ..., n+1}

We study properties of a non-Markovian random walk $X^{(n)}_l$, $l =0,1,2, >...,n$, evolving in discrete time $l$ on a one-dimensional lattice of integers, whose moves to the right or to the left are prescribed by the \text{rise-and-descent} sequences characterizing random permutations $\pi$ of $[n+1] = \{1,2,3, ...,n+1\}$. We determine exactly the probability of finding the end-point $X_n = X^{(n)}_n$ of the trajectory of such a permutation-generated random walk (PGRW) at site $X$, and show that in the limit $n \to \infty$ it converges to a normal distribution with a smaller, compared to the conventional P\'olya random walk, diffusion coefficient. We formulate, as well, an auxiliary stochastic process whose distribution is identic to the distribution of the intermediate points $X^{(n)}_l$, $l < n$, which enables us to obtain the probability measure of different excursions and to define the asymptotic distribution of the number of "turns" of the PGRW trajectories.Comment: text shortened, new results added, appearing in J. Phys.

A Pilot Study Of Antihypertensive Therapy In Cerebrovascular Disease

Peer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/111248/1/j.1532-5415.1967.tb02802.x.pd