Signal Processing for Communication Systems
Reed-Solomon (RS) codes are powerhouse error-correcting tools, but they have a specific Achilles’ heel: if a burst error exceeds their correction capacity ($t$), the entire codeword fails. Block Interleaving is the mathematical bridge that allows RS codes to survive massive, contiguous bursts by spreading the damage across multiple codewords. This comprehensive guide explains the design, … Read more
Convolutional Encoding Unlike block codes (like Reed-Solomon), Convolutional Codes do not have a fixed block size. Instead, they process a continuous stream of bits. The output at any given time depends not only on the current input bit but also on the previous $K-1$ bits, where $K$ is the Constraint Length.+1. Convolutional codes are a … Read more
Introduction The Hamming codes described in previous articles are suitable for random bit errors. However, if the communication medium is prone to burst errors (contiguous blocks of bits being corrupted), Hamming codes are no longer efficient. For these scenarios, we use a class of Error Correcting Codes called Reed-Solomon (RS) Codes. Applications of RS Codes … Read more
Keywords: Hamming code, error-correction code, digital communication, data storage, reliable transmission, computer memory systems, satellite communication systems, single-bit error, two-bit errors. What is a Hamming Code Hamming codes are a class of error-correcting codes that are commonly employed in digital communication and data storage systems to detect and correct errors that may occur during transmission … Read more