Show the checking of the codeword at the receiver site. (Assume no error)

Introduction

In data communication, a codeword is a sequence of symbols that are used to represent or transmit data. The codeword is generated by an error-detecting code, which is a method used to check for errors in data transmission. Checking the codeword at the receiver site is crucial to ensure the integrity and accuracy of the transmitted data.

Explanation of the Codeword Checking Process

The process of checking the codeword at the receiver site involves several steps:

1. Receiving the Codeword: The receiver first receives the codeword transmitted from the sender.

2. Decoding the Codeword: The receiver then decodes the codeword using the same error-detecting code used by the sender. This process involves applying the decoding function to the received codeword.

3. Checking for Errors: The receiver checks for errors in the decoded data. If the error-detecting code is a parity check code, for example, the receiver checks whether the parity of the decoded data matches the expected parity. If the parities match, the receiver assumes that no error has occurred.

4. Acknowledging the Transmission: If no errors are detected, the receiver sends an acknowledgment to the sender to confirm the successful transmission of the data.

Detailed Example

Let's consider an example where the sender uses a simple parity check code to transmit the data "1011". The sender adds a parity bit to the data to make the total number of 1's even, resulting in the codeword "10111".

At the receiver site, the receiver receives the codeword "10111" and decodes it by removing the parity bit, resulting in the data "1011". The receiver then checks the parity of the decoded data. Since the number of 1's in "1011" is even, the receiver assumes that no error has occurred and sends an acknowledgment to the sender.

Comparison of Different Codeword Checking Methods

There are several methods for checking codewords at the receiver site, each with its own advantages and disadvantages:

Conclusion

Checking the codeword at the receiver site is a crucial step in data communication to ensure the integrity and accuracy of the transmitted data. Different methods can be used to check the codeword, each with its own advantages and disadvantages. The choice of method depends on the specific requirements of the data transmission, such as the acceptable error rate and the computational resources available.

Diagram: Not necessary for this answer.

Summary

Checking the codeword at the receiver site is a crucial step in data communication to ensure the integrity and accuracy of the transmitted data. Different methods can be used to check the codeword, each with its own advantages and disadvantages.

Analogy

Checking the codeword at the receiver site is like verifying the contents of a package received in the mail. Just as you would check the package for any damage or missing items, the receiver checks the codeword for any errors or discrepancies.