Convolutional Codes and Generator Polynomials

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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?

Because of their efficient encoding and decoding algorithms Signup and view all the answers

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

To generate redundant encoded streams Signup and view all the answers

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

To efficiently decode received data and correct errors Signup and view all the answers

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

To transmit extra data for error recovery Signup and view all the answers

How do convolutional codes differ from other error correction techniques?

By encoding data using a mathematical operation called convolution Signup and view all the answers

What is the structure of a convolutional encoder?

Comprises shift registers and modulo-2 adders Signup and view all the answers

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

n Signup and view all the answers

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

Efficiency of the code Signup and view all the answers

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

To simplify the encoding process Signup and view all the answers

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

1/2 Signup and view all the answers

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

To find the best path through the trellis closest to the received encoded data sequence Signup and view all the answers

How does convolutional coding enhance error correction capabilities in GSM?

By introducing redundancy to detect and correct errors Signup and view all the answers

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

It visualizes the present and next states in the encoding process Signup and view all the answers

Which algorithm is used for decoding convolutional codes?

Viterbi algorithm Signup and view all the answers

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

To enhance error correction capabilities over the wireless channel Signup and view all the answers

Convolutional Codes and Generator Polynomials

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