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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)
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)
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)
The study of feedback has been mostly limited to single-hop communication settings. In this paper, we consider Gaussian networks where sources and destinations can communicate with the help of intermediate relays over multiple hops. We assume that links in the network can be bidirected providing opportunities for feedback. We ask the following question: can(More)
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