Robert G. Gallager

Robert Gallagher is Professor Emeritus at the Research Laboratory of Electronics at MIT.

  • Low-Density Parity-Check Codes

    Low-Density Parity-Check Codes

    Robert G. Gallager

    This is a complete presentation of all important theoretical and experimental work done on low-density codes. Low-density coding is one of the three techniques thus far developed for efficient communication over noisy channels with an arbitrarily low probability of error. A principal result of information theory is that if properly coded information is transmitted over a noisy channel at a rate below channel capacity, the probability of error can be made to approach zero exponentially with the code length. Any practical use of this theorem, however, requires a coding scheme in which the cost of storage and computation equipment grows slowly with code length. The present book analyzes a class of coding schemes for which costs grow approximately linearly with code length. It demonstrates that error probability approaches zero exponentially with a root of the block length and cites experimental evidence that this coding scheme has profitable aplicability in many communications situations.

    • Hardcover $12.00
    • Paperback $20.00