On the Error Exponent and the Use of LDPC Codes for
    Cooperative Sensor Networks with Misinformed Nodes

    Z. Yang and L. Tong

    Submitted to IEEE Transactions on Information Theory, Oct. 2005.

    Abstract
    The problem of retrieving information by a mobile access point from a
    sensor network where sensors cooperatively transmit messages using a
    common codebook is considered. It is assumed that there is a
    probability that a sensor is misinformed with a wrong message, which
    complicates the design of the coding scheme used by the sensors and
    the scheduling and decoding strategies used by the access point. It is
    assumed that the access point uses the capacity achieving stay-k
    scheduler that schedules a sensor to transmit for k consecutive
    code-letters before switching to a new sensor. The random coding
    exponent is derived as a function of k, and it is shown that there is an
    optimal k that gives the largest error exponent. The application of
    LDPC codes is considered next. It is shown in simulations that the
    optimal k of the stay-k scheduler for LDPC codes can be inferred from
    that for the random coding exponent.