Bobbie Chern

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We consider wireless relay networks where a source node communicates to a destination node with the help of multiple intermediate relay nodes. In wireless, if a node can send information to another node, typically it can also receive information from that node. Therefore, inherently there are many possibilities for feeding back information in wireless(More)
We consider the N-relay Gaussian diamond network where a source node communicates to a destination node via N parallel relays. We show that several strategies can achieve the capacity of this network within O(log N) bits independent of the channel configurations and the operating SNR. The first of these strategies is partial decode-and-forward: the source(More)
In studying the enumerative theory of super characters of the group of upper triangular matrices over a finite field we found that the moments (mean, variance and higher moments) of novel statistics on set partitions of [n] = {1, 2, · · · , n} have simple closed expressions as linear combinations of shifted bell numbers. It is shown here that families of(More)
DNA sequencing technology has advanced to a point where storage is becoming the central bottleneck in the acquisition and mining of more data. Large amounts of data are vital for genomics research, and generic compression tools, while viable, cannot offer the same savings as approaches tuned to inherent biological properties. We propose an algorithm to(More)
We consider the <inline-formula> <tex-math notation="LaTeX">$N$ </tex-math></inline-formula>-relay Gaussian diamond network where a source node communicates to a destination node via <inline-formula> <tex-math notation="LaTeX">$N$ </tex-math></inline-formula> parallel relays through a cascade of a Gaussian broadcast (BC) and a multiple access (MAC) channel.(More)
Wavelet-based spatial quantization is a technique to compress image data that adapts the compression to the data in each region of an image. This approach is motivated because quantization with a single step-size does not result in a uniform visual effect across each spatial location; different types of image content mask quantization errors in different(More)
Current state-of-the-art algorithms that process visual information for end use by humans treat images and video as traditional “ signals ” and employ sophisticated signal processing strategies to achieve their excellent performance. These algorithms also incorporate characteristics of the human visual system (HVS), but typically in a relatively simplistic(More)
The Adaptive Instrument Module (AIM) will be the first true demonstration of reconfigurab[e computing with .lie/d-programmable gate art<o's (FPG.4s: in space, enabling the "'brain" o/the system to evolve or adapt to changing requirements. In partnership with ;V.4SA Goddard Space Flight Center and the Australian Cooperative Research Centre for Sutellite(More)
Genome resequencing produces enormous amount of data daily. Biologists need to frequently mine this data with the provided processing and storage resources. Therefore, it becomes very critical to professionally store this data in order to efficiently browse it in a frequent manner. Reference-based Compression algorithms (RbCs) showed significant genome(More)
It is explained how the Mordell integral ∫ R e −2πzx cosh(πx) dx unifies the mock theta functions, partial (or false) theta functions, and some of Zagier’s quantum modular forms. As an application, we exploit the connections between q-hypergeometric series and mock and partial theta functions to obtain finite evaluations of the Mordell integral for rational(More)