Venkat Chandar

  1. Asynchronous Capacity per Unit Cost.

    Authors: Venkat Chandar, Aslan Tchamkerten, David Tse
    Subjects: Information Theory
    Abstract

    The capacity per unit cost, or equivalently minimum cost to transmit one bit,
    is a well-studied quantity. It has been studied under the assumption of full
    synchrony between the transmitter and the receiver. In many applications, such
    as sensor networks, transmissions are very bursty, with small amounts of bits
    arriving infrequently at random times. In such scenarios, the cost of acquiring
    synchronization is significant and one is interested in the fundamental limits
    on communication without assuming a priori synchronization.

  2. A Simple Message-Passing Algorithm for Compressed Sensing.

    Authors: Devavrat Shah, Venkat Chandar, Gregory W. Wornell
    Subjects: Information Theory
    Abstract

    We consider the recovery of a nonnegative vector x from measurements y = Ax,
    where A is an m-by-n matrix whos entries are in {0, 1}. We establish that when
    A corresponds to the adjacency matrix of a bipartite graph with sufficient
    expansion, a simple message-passing algorithm produces an estimate \hat{x} of x
    satisfying ||x-\hat{x}||_1 \leq O(n/k) ||x-x(k)||_1, where x(k) is the best
    k-sparse approximation of x. The algorithm performs O(n (log(n/k))^2 log(k))
    computation in total, and the number of measurements required is m = O(k
    log(n/k)).

  3. Training-Based Schemes are Suboptimal for High Rate Asynchronous Communication.

    Authors: Venkat Chandar, Aslan Tchamkerten, Gregory W. Wornell
    Subjects: Information Theory
    Abstract

    We consider asynchronous point-to-point communication. Building on a recently
    developed model, we show that training based schemes, i.e., communication
    strategies that separate synchronization from information transmission, perform
    suboptimally at high rate.

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