On a lower bound for the redundancy of reliable networks with noisy gates

نویسندگان

  • Nicholas Pippenger
  • George D. Stamoulis
  • John N. Tsitsiklis
چکیده

We provide a proof that a logarithmic redundancy factor is necessary for the reliable computation of the parity function by means of a network with noisy gates. This is the same as the main result in [1], except that the analysis therein seems to be not entirely correct. t Department of Computer Science, University of British Columbia, Vancouver, British Columbia V6T 1W5, Canada. Research supported by the NSERC under Grant OGP-0041640. Z Laboratory for Information and Decision Systems, Massachusetts Institute of Technology, Cambridge, Mass. 02139, USA. Research supported by the NSF under Grant ECS-8552419, with matching funds from Bellcore Inc. and Du Pont, and by the ARO under Grant DAAL03-86-K0171.

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

A Design Methodology for Reliable MRF-Based Logic Gates

Probabilistic-based methods have been used for designing noise tolerant circuits recently. In these methods, however, there is not any reliability mechanism that is essential for nanometer digital VLSI circuits. In this paper, we propose a novel method for designing reliable probabilistic-based logic gates. The advantage of the proposed method in comparison with previous probabilistic-based met...

متن کامل

Cold standby redundancy optimization for nonrepairable series-parallel systems: Erlang time to failure distribution

In modeling a cold standby redundancy allocation problem (RAP) with imperfect switching mechanism, deriving a closed form version of a system reliability is too difficult. A convenient lower bound on system reliability is proposed and this approximation is widely used as a part of objective function for a system reliability maximization problem in the literature. Considering this lower bound do...

متن کامل

A New Lower Bound for Completion Time Distribution Function of Stochastic PERT Networks

In this paper, a new method for developing a lower bound on exact completion time distribution function of stochastic PERT networks is provided that is based on simplifying the structure of this type of network. The designed mechanism simplifies network structure by arc duplication so that network distribution function can be calculated only with convolution and multiplication. The selection of...

متن کامل

A New Lower Bound for Completion Time Distribution Function of Stochastic PERT Networks

In this paper, a new method for developing a lower bound on exact completion time distribution function of stochastic PERT networks is provided that is based on simplifying the structure of this type of network. The designed mechanism simplifies network structure by arc duplication so that network distribution function can be calculated only with convolution and multiplication. The selection of...

متن کامل

A Sharp Sufficient Condition for Sparsity Pattern Recovery

Sufficient number of linear and noisy measurements for exact and approximate sparsity pattern/support set recovery in the high dimensional setting is derived. Although this problem as been addressed in the recent literature, there is still considerable gaps between those results and the exact limits of the perfect support set recovery. To reduce this gap, in this paper, the sufficient con...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

عنوان ژورنال:
  • IEEE Trans. Information Theory

دوره 37  شماره 

صفحات  -

تاریخ انتشار 1991