Aditya Mahajan

  1. Optimal sequential transmission over broadcast channel with nested feedback.

    Authors: Aditya Mahajan
    Subjects: Information Theory
    Abstract

    We consider the optimal design of sequential transmission over broadcast
    channel with nested feedback. Nested feedback means that the channel output of
    the outer channel is also available at the decoder of the inner channel. We
    model the communication system as a decentralized team with three decision
    makers---the encoder and the two decoders. Structure of encoding and decoding
    strategies that minimize a total distortion measure over a finite horizon are
    determined. The results are applicable for real-time communication as well as
    for the information theoretic setup.

  2. Optimal Control Strategies in Delayed Sharing Information Structures.

    Authors: Ashutosh Nayyar, Demosthenis Teneketzis, Aditya Mahajan
    Subjects: Other
    Abstract

    The $n$-step delayed sharing information structure is investigated. This
    information structure comprises of $K$ controllers that share their information
    with a delay of $n$ time steps. This information structure is a link between
    the classical information structure, where information is shared perfectly
    between the controllers, and a non-classical information structure, where there
    is no "lateral" sharing of information among the controllers. Structural
    results for optimal control strategies for systems with such information
    structures are presented.

  3. A training-based scheme for communicating over unknown channels with feedback.

    Authors: Aditya Mahajan, Sekhar Tatikonda
    Subjects: Information Theory
    Abstract

    We consider communication with noiseless feedback over a channel that is
    either BSC(p) or BSC(1-p); neither the transmitter nor the receiver know which
    one. The parameter $p \in [0, 1/2]$ is known to both. We propose a variable
    length training-based scheme for this channel. The error exponent of this
    scheme is within a constant fraction of the best possible error exponent. Thus,
    contrary to popular belief, variable length training-based schemes need not
    have poor error exponents.

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