Question 1 Show that C = {000, 111} is a linear code and C = {000, 001, 101} is not a linear code? Input S, S2 S, o Output Fig. 9.65. Question 2 (i)Determine the state diagram for the convolutional encoder shown in figure 9.65. Draw the Trellis diagram through the first set of steady state transitions. On the second Trellis diagram, show the termination of the Trellis to all-zero state. (ii) For the convolutional encoder arrangement shown in figure, draw the state diagram and hence trellis diagram. Determine output digit sequence for the data digits 11010100. What are the dimensions fo the code (n, k) and constraint length? Use Viterbi's algorithm to decode the sequence. 100 110 111 101 001 101 001 010 Compare the convenience of code tree, trellis diagram and state diagram from encoding and decoding of convolutional codes point of view.

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
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Question 1
Show that C = {000, 111} is a linear code and C = {000, 001, 101} is not a linear code?
Input
S,
S2
S,
o Output
Fig. 9.65.
Question 2
(i)Determine the state diagram for the convolutional encoder shown in figure 9.65. Draw the Trellis
diagram through the first set of steady state transitions. On the second Trellis diagram, show the
termination of the Trellis to all-zero state.
(ii) For the convolutional encoder arrangement shown in figure, draw the state diagram and hence
trellis diagram. Determine output digit sequence for the data digits 11010100. What are the
dimensions fo the code (n, k) and constraint length? Use Viterbi's algorithm to decode the sequence.
100 110 111 101 001 101 001 010 Compare the convenience of code tree, trellis diagram and state
diagram from encoding and decoding of convolutional codes point of view.
Transcribed Image Text:Question 1 Show that C = {000, 111} is a linear code and C = {000, 001, 101} is not a linear code? Input S, S2 S, o Output Fig. 9.65. Question 2 (i)Determine the state diagram for the convolutional encoder shown in figure 9.65. Draw the Trellis diagram through the first set of steady state transitions. On the second Trellis diagram, show the termination of the Trellis to all-zero state. (ii) For the convolutional encoder arrangement shown in figure, draw the state diagram and hence trellis diagram. Determine output digit sequence for the data digits 11010100. What are the dimensions fo the code (n, k) and constraint length? Use Viterbi's algorithm to decode the sequence. 100 110 111 101 001 101 001 010 Compare the convenience of code tree, trellis diagram and state diagram from encoding and decoding of convolutional codes point of view.
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