data compression
Coding a sequence data compression
In order to distinguish a sequence of symbols from another sequence of symbols we need to tag it with a unique identifier. One possible set of tags for representing sequences of symbols are the numbers in the unit interval 0 1. Because the number of numbers in the unit interval is infinite, it should be … Read more
Audio Compression in data compression
Another class of data that is very suitable for compression is CD-quality audio data. The audio signal for each stereo channel is sampled at 44.1 kHz, and each sample is represented by 16 bits. This means that the amount of data stored on one CD is enormous. If we want to transmit this data, the … Read more
Text Compression in data compression
Text compression seems natural for Huffman coding. For example, the probability model for a particular novel will not differ significantly from the probability model for another novel. Similarly, the probability model for a set of FORTRAN programs is not going to be much different than the probability model for a different set of FORTRAN programs. … Read more
Applications of Hoffman coding in data compression
Top Applications of Hoffman coding Lossless Image Compression A simple application of Huffman coding to image compression would be to generate a Huffman code for the set of values that any pixel may take. For monochrome images, this set usually consists of integers from 0 to 255. Examples of such images are contained in the … Read more
Tunstall Codes in data compression
Most of the variable-length codes that we look at in this book encode letters from the source alphabet using codewords with varying numbers of bits: codewords with fewer bits for letters that occur more frequently and codewords with more bits for letters that occur less frequently. The Tunstall code is an important exception. In the … Read more
Rice Codes in data compression
Data compression is a fundamental concept in computer science that plays a crucial role in various applications, including file storage, communication systems, and multimedia processing. Efficient data compression techniques enable us to reduce the amount of data required to represent information, leading to optimized storage and faster data transmission. One such powerful technique used in … Read more
Golomb codes in data compression
The Golomb-Rice codes belong to a family of codes designed to encode integers with the assumption that the larger an integer, the lower its probability of occurrence. The simplest code for this situation is the unary code. The unary code for a positive integer n is simply n 1s followed by a 0. Thus, the … Read more
Decoding Procedure in data compression
As we know in the received binary string, we traverse the tree in a manner identical to that used in the encoding procedure. Once a leaf is encountered, the symbol corresponding to that leaf is decoded. If the leaf is the NYT node, then we check the next e bits to see if the resulting … Read more