Signal Processing for Communication Systems
Introduction: A $latex (n,k)$ Reed Solomon (RS) encoder, takes $latex k$ user data symbols and converts it into a n symbol wide codeword, by adding $latex n-k$ parity symbols. The error correcting capability $latex (t)$ of the RS code is computed as $latex t \leq \frac{n-k}{2}$. That is, a RS code with $latex n-k$ parity … Read more
[ratings] Viterbi algorithm is utilized to decode the convolutional codes. Again the decoding can be done in two approaches. One approach is called hard decision decoding which uses Hamming distance as a metric to perform the decoding operation, whereas, the soft decision decoding uses Euclidean distance as a metric. As stated in one of the … Read more
The Hamming codes described in the previous articles are suitable for random bit errors in a sequence of transmitted bits. If the communication medium is prone to burst errors (channel errors affecting contiguous blocks of bits) (missing symbols are called erasures ), then Hamming code may not be suitable. For example in CD, DVD and … 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