A Concise Introduction to Data Compression by David Salomon

By David Salomon

Compressing info is an choice clearly chosen while confronted with difficulties of excessive charges or constrained area. Written by way of a well known professional within the box, this ebook bargains readers a succinct, reader-friendly beginning to the executive ways, tools and strategies presently hired within the box of information compression.

Part I provides the fundamental methods to facts compression and describes a couple of well known concepts and techniques common to compress information. The reader discovers crucial options, comparable to variable-length and prefix codes, statistical distributions and run-length encoding. half II then concentrates on complicated suggestions, corresponding to mathematics coding, orthogonal transforms, subband transforms and the Burrows-Wheeler transform.

• transparent assessment of the foundations underlying this field
• Outlines the necessities of some of the methods to compressing data
• includes many studying aids resembling: bankruptcy introductions and summaries, chapter-end workouts, accomplished thesaurus, etc.
• offers numerous examples of significant compression algorithms
• a terrific introductory quantity to David Salomon’s fourth version of knowledge Compression: the entire Reference

Complete and transparent, this e-book is the right source for undergraduates in desktop technology and calls for not less than arithmetic. it's also excellent for readers with a easy wisdom of machine technological know-how desirous to know about information compression.

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Extra resources for A Concise Introduction to Data Compression

Example text

Ks, such that ks ≤ 255 but (k + 1)s > 255. Each input symbol S is quantized by converting it to the nearest value in this sequence. Selecting s = 3, for example, produces the uniform sequence 0, 3, 6, 9, 12, . . , 252, 255. Selecting s = 4 produces 0, 4, 8, 12, . . , 252, 255 (since the next multiple of 4, after 252, is 256). A similar approach is to select the quantized values in such a way that any integer in the range [0, 255] will be no more than d units distant from one of the quantized values.

Selecting the last match, rather than the first one, simplifies the encoder, because it has to keep track of only the last match found. It is interesting to note that selecting the first match, while making the program somewhat more complex, also has an advantage. It selects the smallest offset. It would seem that this is not an advantage, because a token should have room enough for the largest possible offset. However, a sophisticated, multistep compression algorithm may employ LZ77 as a first step, following which the LZ77 tokens may be compressed further by replacing them with variable-length codes.

The long discussion in [Gilbert and Moore 59] proves that the Huffman code is a minimum-length code in the sense that no other encoding has a shorter average length. A much shorter proof of the same fact was discovered by Huffman himself [Motil 07]. An algebraic approach to constructing the Huffman code is introduced in [Karp 61]. 086 where p1 is the probability of the most-common symbol in the alphabet. The redundancy is the difference between the average Huffman codeword length and the entropy. Given a large alphabet, such 62 2.

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