This work presents (s, c)-Dense Code, a new method for compressing natural language texts. This technique is a generalization of a previous compression technique called End-Tagged Dense Code that obtains better compression ratio as well as a simpler and faster encoding than Tagged Huffman. At the same time, (s, c)-Dense Code is a prefix code that maintains the most interesting features of Tagge...

In some cases,the Shannon code does not perform optimally. Consider a Bernoulli random variable X with parameter 0.0001. An optimal encoding requires only one bit to encode the value of X. The Shannon code would encode 0 by 1 bit and encode 1 by log 104 bits. This is good on average but bad in the worst case. We can also compare the Shannon code to the Huffman code. The Huffman code always has ...

Huffman coding has been widely used in data, image, and video compression. Novel maximal prefix coding different from the Huffman coding is introduced. Relationships between the Huffman coding and optimal maximal prefix coding are discussed. We show that all Huffman coding schemes are maximal prefix coding schemes and have the shortest average code word length among maximal prefix coding scheme...

A Method for the Construction of Minimum-Redundancy Codes PDF.HUFFMAN CODES. Corollary 28 Consider a coding from a length n vector of source symbols, x x1x2.xn, to a binary codeword of length lx. Then the.Correctness of the Huffman coding nitro pdf reader 32 bit 1 1 1 13 create pdf files algorithm. A binary code encodes each character as a binary. Code that encodes the file using as few bits as...

Huffman coding is such a widespread method for creating prefix-free codes. Huffman code is used as a synonym for prefix-free code even when such a code is not produced by Huffman's algorithm. Huffman coding is an efficient source coding algorithm for source symbols that are not equally probable. It yields the smallest possible number of code symbols per source symbol [7]. In this paper, the Los...

Huffman coding is one of a most famous entropy encoding methods for lossless data compression [16]. JPEG and ZIP formats employ variants of Huffman encoding as lossless compression algorithms. Huffman coding is a bijective map from source letters into leaves of the Huffman tree constructed by the algorithm. In this article we formalize an algorithm constructing a binary code tree, Huffman tree.

We introduce a joint decoding algorithm for a Huffman source code followed by a convolutional channel code. The algorithm incorporates a restriction to valid Huffman codewords into the convolutional code’s trellis. Performance is improved by this restriction. Furthermore, soft Huffman decoding is implicitly included, and a priori probabilities of input symbols can be easily exploited, if availa...

As we have seen that Huffman coding has been widely used in data, image, and video compression. In this paper novel maximal prefix coding is introduced. Relationship between the Huffman coding and the optimal maximal prefix coding are discussed. We show that all Huffman coding schemes are optimal maximal prefix coding schemes and that conversely the optimal maximal prefix coding schemes need no...