Euclidean and Hamming distances

Key focus: Euclidean & Hamming distances are used to measure similarity or dissimilarity between two sequences. Used in Soft & Hard decision decoding. Distance is a measure that indicates either similarity or dissimilarity between two words. Given a pair of words a=(a0,a1, … ,an-1) and b=(b0,b1,…,bn-1) , there are variety of ways one can characterize … Read more

Maximum Likelihood Decoding

Keywords: maximum likelihood decoding, digital communication, data storage, noise, interference, wireless communication systems, optical communication systems, digital storage systems, probability, likelihood estimation, python Introduction Maximum likelihood decoding is a technique used to determine the most likely transmitted message in a digital communication system, based on the received signal and statistical models of noise and interference. … Read more

Hard and Soft decision decoding

What are hard and soft decision decoding Hard decision decoding and soft decision decoding are two different methods used for decoding error-correcting codes. With hard decision decoding, the received signal is compared to a set threshold value to determine whether the transmitted bit is a 0 or a 1. This is commonly used in digital … Read more