Given the generator matrix 1 1 O 0 0 0 0 1 1 1 O O B 1 0 0 1 O 183 1 0 0 0 1 (a) Find H the parity-check matrix (b) The received vector are r [1100010], [1110110], [1110011]. Calculate the syndrome. Find the error vectors and hence, identify the error bits. (c) Find the transmitted code vectors Syndrome Error 001 011 101 BO pattern 0010000 0000100 0000001 1 0
Given the generator matrix 1 1 O 0 0 0 0 1 1 1 O O B 1 0 0 1 O 183 1 0 0 0 1 (a) Find H the parity-check matrix (b) The received vector are r [1100010], [1110110], [1110011]. Calculate the syndrome. Find the error vectors and hence, identify the error bits. (c) Find the transmitted code vectors Syndrome Error 001 011 101 BO pattern 0010000 0000100 0000001 1 0
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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Question
![Given the generator matrix
1
1
0
0
Bo
21
0
1
1
1
3
1
0
1
O
#43
0
1
0
0
(a) Find H the parity-check matrix
(b) The received vector are r [1100010], [1110110],
[1110011]. Calculate the syndrome. Find the error
vectors and hence, identify the error bits.
(c) Find the transmitted code vectors
Syndrome Error
001
011
101
pattern
0010000
0000100
0000001
1
0
0](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F111e60ee-0d65-4ded-a518-4328b2edc5f9%2F4f1d009e-4177-44b3-9389-41a7e5bdec7a%2Fogv1u4e_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Given the generator matrix
1
1
0
0
Bo
21
0
1
1
1
3
1
0
1
O
#43
0
1
0
0
(a) Find H the parity-check matrix
(b) The received vector are r [1100010], [1110110],
[1110011]. Calculate the syndrome. Find the error
vectors and hence, identify the error bits.
(c) Find the transmitted code vectors
Syndrome Error
001
011
101
pattern
0010000
0000100
0000001
1
0
0
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