The binary symmetric channel can model a disk drive used for memory storage: the channel input represents a bit being written to the disk and the output corresponds to the bit later being read. Error could arise from the magnetization flipping, background noise or the writing head making an error. Other objects which … See more A binary symmetric channel (or BSCp) is a common communications channel model used in coding theory and information theory. In this model, a transmitter wishes to send a bit (a zero or a one), and the receiver will receive … See more Shannon's noisy-channel coding theorem gives a result about the rate of information that can be transmitted through a communication … See more • Z channel See more The channel capacity of the binary symmetric channel, in bits, is: $${\displaystyle \ C_{\text{BSC}}=1-\operatorname {H} _{\text{b}}(p),}$$ where $${\displaystyle \operatorname {H} _{\text{b}}(p)}$$ is the binary entropy function, … See more Very recently, a lot of work has been done and is also being done to design explicit error-correcting codes to achieve the capacities of … See more WebNov 24, 2016 · Channel Decoding: Gaussian Channel as Time-Varying Binary Symmetric 1 Heuristic explanation of channel capacity for discrete noiseless channels and binary symmetric channel
Binary symmetric channel - Wikipedia
Webachieve the capacity of symmetric binary-input discrete memoryless channels such as the binary symmetric channel (BSC) and binary erasure channel (BEC). This technique was introduced and theoretically analyzed in [1]. Some experi-mental results were presented in [2]. However, the details of polar code construction and efficient methods for ... WebInformation Theory and Coding: Example Problem Set 3 A. Consider a binary symmetric communication channel, whose input source is the alphabet X = {0,1} with … ebay selling by the ounce
Polar codes: A pipelined implementation
WebEnter the email address you signed up with and we'll email you a reset link. WebThis states that the capacity of the binary symmetric channel is precisely 1 H(p). We will need the notion of the Hamming distance. The Hamming distance d H(s;t) between two binary strings sand tof the same length is the number of places where the two strings di er. For example, d WebJun 10, 2024 · $\begingroup$ Entropy is 0 for those two values. If p=0, you get the input at the output. If p=1, you get the inverted input at the output. In either case, you can perfectly map the output to the input. $\endgroup$ – Batman compare thinkbook to thinkpad