Hamming Encoding and Decoding Algorithms for TDCS and WDCS Design

Abstract

Error detection and Error correction are techniques that allow reliable delivery of information data over Communication channels in Transform Domain and Wavelet Domain communication Systems. In Communication Systems many communication channels are subject to noise and other Errors due to the channel, and thus errors may be there during transmission process from the Transmitter to a receiver. Error detection methods allow detecting such type of errors, while error correction process enables recovering of the original data. Hamming code is known for its single-bit error detection capability & Error correction capability. To provide such a capability, it introduces 4 redundancy bits in a 8-bit data item. These redundancy bits are to be interspersed at bit positions two the power n (n = 0, 1, 2, 3) with the original information. After Error detection & Error correction process, if any, the data bits have to be reassembled by removing the redundancy bits. In the proposed TDCS-WDCS hamming code up gradation the redundancy bits will be appended at the end of data bits. This removes the overhead of interspersing the added redundant bits at the TDCS-WDCS transmitter and their removal at the TDCSWDCS receiver.