The communication giant Omantel company uses satellite for intercontinental communications assuming that the satellite receiver uses (n, k) block code with the following H matrix: [1 0 0 1 1 1 1 H =|0 1 0 0 1 1 0 lo o 1 1 0 1 ol (a) Derive the G matrix. (b) Find the codeword of the message m = 1100.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.2: Linear Independence, Basis, And Dimension
Problem 3AEXP
icon
Related questions
Question
The communication giant Omantel company uses satellite for intercontinental communications assuming that
the satellite receiver uses (n, k) block code with the following H matrix:
|1 0 0 1 1 1 1
H =|0 1 00 1 10
lo o 1 1 0 1 o]
(a) Derive the G matrix.
(b) Find the codeword of the message m = 1100.
(c) Find the received codeword when the same codeword of message (m=1100) is transmitted through a channel of error
pattern (0001100).
(d) Find the detection and correction capabilities of the coding scheme.
(e) Prove that GHT=0
Transcribed Image Text:The communication giant Omantel company uses satellite for intercontinental communications assuming that the satellite receiver uses (n, k) block code with the following H matrix: |1 0 0 1 1 1 1 H =|0 1 00 1 10 lo o 1 1 0 1 o] (a) Derive the G matrix. (b) Find the codeword of the message m = 1100. (c) Find the received codeword when the same codeword of message (m=1100) is transmitted through a channel of error pattern (0001100). (d) Find the detection and correction capabilities of the coding scheme. (e) Prove that GHT=0
Expert Solution
steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Determinant
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, advanced-math and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Elementary Linear Algebra (MindTap Course List)
Elementary Linear Algebra (MindTap Course List)
Algebra
ISBN:
9781305658004
Author:
Ron Larson
Publisher:
Cengage Learning
Algebra for College Students
Algebra for College Students
Algebra
ISBN:
9781285195780
Author:
Jerome E. Kaufmann, Karen L. Schwitters
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
College Algebra
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Algebra and Trigonometry (MindTap Course List)
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:
9781305071742
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning