Journal ArticleDOI
Compression of individual sequences via variable-rate coding
Jacob Ziv,A. Lempel +1 more
TLDR
The proposed concept of compressibility is shown to play a role analogous to that of entropy in classical information theory where one deals with probabilistic ensembles of sequences rather than with individual sequences.Abstract:
Compressibility of individual sequences by the class of generalized finite-state information-lossless encoders is investigated. These encoders can operate in a variable-rate mode as well as a fixed-rate one, and they allow for any finite-state scheme of variable-length-to-variable-length coding. For every individual infinite sequence x a quantity \rho(x) is defined, called the compressibility of x , which is shown to be the asymptotically attainable lower bound on the compression ratio that can be achieved for x by any finite-state encoder. This is demonstrated by means of a constructive coding theorem and its converse that, apart from their asymptotic significance, also provide useful performance criteria for finite and practical data-compression tasks. The proposed concept of compressibility is also shown to play a role analogous to that of entropy in classical information theory where one deals with probabilistic ensembles of sequences rather than with individual sequences. While the definition of \rho(x) allows a different machine for each different sequence to be compressed, the constructive coding theorem leads to a universal algorithm that is asymptotically optimal for all sequences.read more
Citations
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Journal ArticleDOI
Variable rate vector quantization for speech, image, and video compression
TL;DR: Three variable-rate vector quantizer systems are applied to speech, image, and video sources and compared to standard vector quantization and noiseless variable- rate coding approaches, providing significant performance improvements for subband speech coding, predictive image coding, and motion-compensated video.
Journal ArticleDOI
Using artificial intelligence techniques for COVID-19 genome analysis
TL;DR: Results suggest that SPM and mutation analysis techniques can reveal interesting information and patterns in COVID-19 genome sequences to examine the evolution and variations in CO VID-19 strains respectively.
Book ChapterDOI
Augmenting Suffix Trees, with Applications
Yossi Matias,Yossi Matias,S. Muthukrishnan,Süleyman Cenk Sahinalp,Süleyman Cenk Sahinalp,Jacob Ziv +5 more
TL;DR: This paper considers one algorithmic problem from each of these areas and presents highly efficient (linear or near linear time) algorithms for both problems, relying on augmenting the suffix tree, a fundamental data structure in string algorithmics.
Journal ArticleDOI
A parallel vector quantization processor eliminating redundant calculations for real-time motion picture compression
Toshiyuki Nozawa,Masahiro Konda,Masanori Fujibayashi,M. Imai,Koji Kotani,Shigetoshi Sugawa,Tadahiro Ohmi +6 more
TL;DR: A parallel vector-quantization (VQ) processor has been developed aiming at real-time compression of motion pictures using a 0.35-/spl mu/m triple-metal CMOS technology that employs a new search algorithm for VQ encoding to reduce hardware volume.
Journal ArticleDOI
Adaptive Huffman coding of 2-D DCT coefficients for image sequence compression
Jechang Jeong,Jae Moon Jo +1 more
TL;DR: A new approach to adaptive Huffman coding of 2-D DCT coefficients for image sequence compression based on the popular motion-compensated interframe coding, which employs self-switching multiple Huffman codebooks for entropy coding of quantized transform coefficients.
References
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Book
Information Theory and Reliable Communication
TL;DR: This chapter discusses Coding for Discrete Sources, Techniques for Coding and Decoding, and Source Coding with a Fidelity Criterion.
Journal ArticleDOI
A universal algorithm for sequential data compression
Jacob Ziv,A. Lempel +1 more
TL;DR: The compression ratio achieved by the proposed universal code uniformly approaches the lower bounds on the compression ratios attainable by block-to-variable codes and variable- to-block codes designed to match a completely specified source.
Journal ArticleDOI
On the Complexity of Finite Sequences
A. Lempel,Jacob Ziv +1 more
TL;DR: A new approach to the problem of evaluating the complexity ("randomness") of finite sequences is presented, related to the number of steps in a self-delimiting production process by which a given sequence is presumed to be generated.
Journal ArticleDOI
Coding theorems for individual sequences
TL;DR: The finite-state complexity of a sequence plays a role similar to that of entropy in classical information theory (which deals with probabilistic ensembles of sequences rather than an individual sequence).
Journal ArticleDOI
On Information Lossless Automata of Finite Order
TL;DR: The application of the tests to finite deterministic automata is discussed and a method of constructing a decoder for a given finite automaton that is information lossless of finite order, is described.