Convolutional Codes and Generator Polynomials

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Questions and Answers

What is the main advantage of convolutional codes in noisy environments?

  • They have low bandwidth efficiency
  • They require considering multiple input bits simultaneously
  • They are complex to implement
  • They offer good performance in noisy environments (correct)

What is a generator polynomial used for in communication systems?

  • To generate random bits for encryption
  • To add noise to the transmitted data
  • To create the code transmitted over a communication channel (correct)
  • To simplify encoding and decoding algorithms

What does a rate of 1:2 mean in the context of convolutional codes?

  • For every two input bits, the encoder produces one output bit
  • For every input bit, the encoder produces three output bits
  • For every input bit, the encoder produces two output bits (correct)
  • For every input bit, the encoder produces one output bit

Why are convolutional codes well-suited for real-time communication systems?

<p>Because of their efficient encoding and decoding algorithms (B)</p> Signup and view all the answers

In GSM, what is the purpose of convolutional encoding at both the mobile device and base station?

<p>To generate redundant encoded streams (A)</p> Signup and view all the answers

What is the role of a Viterbi decoder in a communication system using convolutional codes?

<p>To efficiently decode received data and correct errors (B)</p> Signup and view all the answers

What is the purpose of Forward Error Control in Convolutional codes?

<p>To transmit extra data for error recovery (B)</p> Signup and view all the answers

How do convolutional codes differ from other error correction techniques?

<p>By encoding data using a mathematical operation called convolution (D)</p> Signup and view all the answers

What is the structure of a convolutional encoder?

<p>Comprises shift registers and modulo-2 adders (C)</p> Signup and view all the answers

Which parameter of convolutional codes represents the number of output bits?

<p>n (D)</p> Signup and view all the answers

What does the code rate (k/n) in convolutional codes measure?

<p>Efficiency of the code (B)</p> Signup and view all the answers

In convolutional codes, why is k often set to 1?

<p>To simplify the encoding process (D)</p> Signup and view all the answers

What is the code rate for the convolutional encoder with (n, k, m)=(2,1,3)?

<p>1/2 (A)</p> Signup and view all the answers

In the context of convolutional coding, what is the purpose of the Viterbi algorithm?

<p>To find the best path through the trellis closest to the received encoded data sequence (A)</p> Signup and view all the answers

How does convolutional coding enhance error correction capabilities in GSM?

<p>By introducing redundancy to detect and correct errors (D)</p> Signup and view all the answers

What is the significance of the state diagram in convolutional encoding?

<p>It visualizes the present and next states in the encoding process (D)</p> Signup and view all the answers

Which algorithm is used for decoding convolutional codes?

<p>Viterbi algorithm (A)</p> Signup and view all the answers

Why is convolutional coding preferred in GSM for voice calls and data transmission?

<p>To enhance error correction capabilities over the wireless channel (C)</p> Signup and view all the answers

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