Search results
Results From The WOW.Com Content Network
Low-density parity-check (LDPC) codes are a class of highly efficient linear block codes made from many single parity check (SPC) codes. They can provide performance very close to the channel capacity (the theoretical maximum) using an iterated soft-decision decoding approach, at linear time complexity in terms of their block length.
The on-line textbook: Information Theory, Inference, and Learning Algorithms, by David J.C. MacKay, contains chapters on elementary error-correcting codes; on the theoretical limits of error-correction; and on the latest state-of-the-art error-correcting codes, including low-density parity-check codes, turbo codes, and fountain codes.
As explained earlier, it can either detect and correct single-bit errors or it can detect (but not correct) both single and double-bit errors. With the addition of an overall parity bit, it becomes the [8,4] extended Hamming code and can both detect and correct single-bit errors and detect (but not correct) double-bit errors.
Proof. We need to prove that if you add a burst of length to a codeword (i.e. to a polynomial that is divisible by ()), then the result is not going to be a codeword (i.e. the corresponding polynomial is not divisible by ()).
LDPC encoder. During the encoding of a frame, the input data bits (D) are repeated and distributed to a set of constituent encoders. The constituent encoders are typically accumulators and each accumulator is used to generate a parity symbol.
Linearity guarantees that the minimum Hamming distance d between a codeword c 0 and any of the other codewords c ≠ c 0 is independent of c 0. This follows from the property that the difference c − c 0 of two codewords in C is also a codeword (i.e., an element of the subspace C), and the property that d(c, c 0) = d(c − c 0, 0). These ...
errno.h is a header file in the standard library of the C programming language. ... is stored in errno by certain library functions when they detect errors. At ...
The block length of a block code is the number of symbols in a block. Hence, the elements of are strings of length and correspond to blocks that may be received by the receiver.