A binary erasure channel skips a transmission if the received symbol is indeterminate with probability p and is characterized by the channel matrix [P(Y]X)] =| p 1-p| р 1- with {0,1} as the input alphabet and {0, e, 1} as the output alphabet. 1. Draw the corresponding channel diagram. 2. If the source produces equally likely outputs, find the probabilities associated with the channel outputs for p = 0.2 and the corresponding average input/output mutual information. 3. Determine the channel capacity and the input distribution which achieves it.

A binary erasure channel skips a transmission if the received symbol is indeterminate with probability p and is characterized by the channel matrix [P(Y]X)] =| p 1-p| р 1- with {0,1} as the input alphabet and {0, e, 1} as the output alphabet. 1. Draw the corresponding channel diagram. 2. If the source produces equally likely outputs, find the probabilities associated with the channel outputs for p = 0.2 and the corresponding average input/output mutual information. 3. Determine the channel capacity and the input distribution which achieves it.

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

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