Deflate Compression Algorithm
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Data Compression: Dictionary-Based Coding 2 / 37 Dictionary-Based Coding Dictionary-Based Coding
Dictionary-based Coding already coded not yet coded search buffer look-ahead buffer cursor (N symbols) (L symbols) We know the past but cannot control it. We control the future but... Last Lecture Last Lecture: Predictive Lossless Coding Predictive Lossless Coding Simple and effective way to exploit dependencies between neighboring symbols / samples Optimal predictor: Conditional mean (requires storage of large tables) Affine and Linear Prediction Simple structure, low-complex implementation possible Optimal prediction parameters are given by solution of Yule-Walker equations Works very well for real signals (e.g., audio, images, ...) Efficient Lossless Coding for Real-World Signals Affine/linear prediction (often: block-adaptive choice of prediction parameters) Entropy coding of prediction errors (e.g., arithmetic coding) Using marginal pmf often already yields good results Can be improved by using conditional pmfs (with simple conditions) Heiko Schwarz (Freie Universität Berlin) — Data Compression: Dictionary-based Coding 2 / 37 Dictionary-based Coding Dictionary-Based Coding Coding of Text Files Very high amount of dependencies Affine prediction does not work (requires linear dependencies) Higher-order conditional coding should work well, but is way to complex (memory) Alternative: Do not code single characters, but words or phrases Example: English Texts Oxford English Dictionary lists less than 230 000 words (including obsolete words) On average, a word contains about 6 characters Average codeword length per character would be limited by 1 -
Package 'Brotli'
Package ‘brotli’ May 13, 2018 Type Package Title A Compression Format Optimized for the Web Version 1.2 Description A lossless compressed data format that uses a combination of the LZ77 algorithm and Huffman coding. Brotli is similar in speed to deflate (gzip) but offers more dense compression. License MIT + file LICENSE URL https://tools.ietf.org/html/rfc7932 (spec) https://github.com/google/brotli#readme (upstream) http://github.com/jeroen/brotli#read (devel) BugReports http://github.com/jeroen/brotli/issues VignetteBuilder knitr, R.rsp Suggests spelling, knitr, R.rsp, microbenchmark, rmarkdown, ggplot2 RoxygenNote 6.0.1 Language en-US NeedsCompilation yes Author Jeroen Ooms [aut, cre] (<https://orcid.org/0000-0002-4035-0289>), Google, Inc [aut, cph] (Brotli C++ library) Maintainer Jeroen Ooms <[email protected]> Repository CRAN Date/Publication 2018-05-13 20:31:43 UTC R topics documented: brotli . .2 Index 4 1 2 brotli brotli Brotli Compression Description Brotli is a compression algorithm optimized for the web, in particular small text documents. Usage brotli_compress(buf, quality = 11, window = 22) brotli_decompress(buf) Arguments buf raw vector with data to compress/decompress quality value between 0 and 11 window log of window size Details Brotli decompression is at least as fast as for gzip while significantly improving the compression ratio. The price we pay is that compression is much slower than gzip. Brotli is therefore most effective for serving static content such as fonts and html pages. For binary (non-text) data, the compression ratio of Brotli usually does not beat bz2 or xz (lzma), however decompression for these algorithms is too slow for browsers in e.g. -
A Survey Paper on Different Speech Compression Techniques
Vol-2 Issue-5 2016 IJARIIE-ISSN (O)-2395-4396 A Survey Paper on Different Speech Compression Techniques Kanawade Pramila.R1, Prof. Gundal Shital.S2 1 M.E. Electronics, Department of Electronics Engineering, Amrutvahini College of Engineering, Sangamner, Maharashtra, India. 2 HOD in Electronics Department, Department of Electronics Engineering , Amrutvahini College of Engineering, Sangamner, Maharashtra, India. ABSTRACT This paper describes the different types of speech compression techniques. Speech compression can be divided into two main types such as lossless and lossy compression. This survey paper has been written with the help of different types of Waveform-based speech compression, Parametric-based speech compression, Hybrid based speech compression etc. Compression is nothing but reducing size of data with considering memory size. Speech compression means voiced signal compress for different application such as high quality database of speech signals, multimedia applications, music database and internet applications. Today speech compression is very useful in our life. The main purpose or aim of speech compression is to compress any type of audio that is transfer over the communication channel, because of the limited channel bandwidth and data storage capacity and low bit rate. The use of lossless and lossy techniques for speech compression means that reduced the numbers of bits in the original information. By the use of lossless data compression there is no loss in the original information but while using lossy data compression technique some numbers of bits are loss. Keyword: - Bit rate, Compression, Waveform-based speech compression, Parametric-based speech compression, Hybrid based speech compression. 1. INTRODUCTION -1 Speech compression is use in the encoding system. -
XAPP616 "Huffman Coding" V1.0
Product Obsolete/Under Obsolescence Application Note: Virtex Series R Huffman Coding Author: Latha Pillai XAPP616 (v1.0) April 22, 2003 Summary Huffman coding is used to code values statistically according to their probability of occurence. Short code words are assigned to highly probable values and long code words to less probable values. Huffman coding is used in MPEG-2 to further compress the bitstream. This application note describes how Huffman coding is done in MPEG-2 and its implementation. Introduction The output symbols from RLE are assigned binary code words depending on the statistics of the symbol. Frequently occurring symbols are assigned short code words whereas rarely occurring symbols are assigned long code words. The resulting code string can be uniquely decoded to get the original output of the run length encoder. The code assignment procedure developed by Huffman is used to get the optimum code word assignment for a set of input symbols. The procedure for Huffman coding involves the pairing of symbols. The input symbols are written out in the order of decreasing probability. The symbol with the highest probability is written at the top, the least probability is written down last. The least two probabilities are then paired and added. A new probability list is then formed with one entry as the previously added pair. The least symbols in the new list are then paired. This process is continued till the list consists of only one probability value. The values "0" and "1" are arbitrarily assigned to each element in each of the lists. Figure 1 shows the following symbols listed with a probability of occurrence where: A is 30%, B is 25%, C is 20%, D is 15%, and E = 10%. -
Image Compression Through DCT and Huffman Coding Technique
International Journal of Current Engineering and Technology E-ISSN 2277 – 4106, P-ISSN 2347 – 5161 ©2015 INPRESSCO®, All Rights Reserved Available at http://inpressco.com/category/ijcet Research Article Image Compression through DCT and Huffman Coding Technique Rahul Shukla†* and Narender Kumar Gupta† †Department of Computer Science and Engineering, SHIATS, Allahabad, India Accepted 31 May 2015, Available online 06 June 2015, Vol.5, No.3 (June 2015) Abstract Image compression is an art used to reduce the size of a particular image. The goal of image compression is to eliminate the redundancy in a file’s code in order to reduce its size. It is useful in reducing the image storage space and in reducing the time needed to transmit the image. Image compression is more significant for reducing data redundancy for save more memory and transmission bandwidth. An efficient compression technique has been proposed which combines DCT and Huffman coding technique. This technique proposed due to its Lossless property, means using this the probability of loss the information is lowest. Result shows that high compression rates are achieved and visually negligible difference between compressed images and original images. Keywords: Huffman coding, Huffman decoding, JPEG, TIFF, DCT, PSNR, MSE 1. Introduction that can compress almost any kind of data. These are the lossless methods they retain all the information of 1 Image compression is a technique in which large the compressed data. amount of disk space is required for the raw images However, they do not take advantage of the 2- which seems to be a very big disadvantage during dimensional nature of the image data. -
Arxiv:2004.10531V1 [Cs.OH] 8 Apr 2020
ROOT I/O compression improvements for HEP analysis Oksana Shadura1;∗ Brian Paul Bockelman2;∗∗ Philippe Canal3;∗∗∗ Danilo Piparo4;∗∗∗∗ and Zhe Zhang1;y 1University of Nebraska-Lincoln, 1400 R St, Lincoln, NE 68588, United States 2Morgridge Institute for Research, 330 N Orchard St, Madison, WI 53715, United States 3Fermilab, Kirk Road and Pine St, Batavia, IL 60510, United States 4CERN, Meyrin 1211, Geneve, Switzerland Abstract. We overview recent changes in the ROOT I/O system, increasing per- formance and enhancing it and improving its interaction with other data analy- sis ecosystems. Both the newly introduced compression algorithms, the much faster bulk I/O data path, and a few additional techniques have the potential to significantly to improve experiment’s software performance. The need for efficient lossless data compression has grown significantly as the amount of HEP data collected, transmitted, and stored has dramatically in- creased during the LHC era. While compression reduces storage space and, potentially, I/O bandwidth usage, it should not be applied blindly: there are sig- nificant trade-offs between the increased CPU cost for reading and writing files and the reduce storage space. 1 Introduction In the past years LHC experiments are commissioned and now manages about an exabyte of storage for analysis purposes, approximately half of which is used for archival purposes, and half is used for traditional disk storage. Meanwhile for HL-LHC storage requirements per year are expected to be increased by factor 10 [1]. arXiv:2004.10531v1 [cs.OH] 8 Apr 2020 Looking at these predictions, we would like to state that storage will remain one of the major cost drivers and at the same time the bottlenecks for HEP computing. -
The Strengths and Weaknesses of Different Image Compression Methods Samuel Teare and Brady Jacobson Lossy Vs Lossless
The Strengths and Weaknesses of Different Image Compression Methods Samuel Teare and Brady Jacobson Lossy vs Lossless Lossy compression reduces a file size by permanently removing parts of the data that may be redundant or not as noticeable. Lossless compression guarantees the original data can be recovered or decompressed from the compressed file. PNG Compression PNG Compression consists of three parts: 1. Filtering 2. LZ77 Compression Deflate Compression 3. Huffman Coding Filtering Five types of Filters: 1. None - No filter 2. Sub - difference between this byte and the byte to its left a. Sub(x) = Original(x) - Original(x - bpp) 3. Up - difference between this byte and the byte above it a. Up(x) = Original(x) - Above(x) 4. Average - difference between this byte and the average of the byte to the left and the byte above. a. Avg(x) = Original(x) − (Original(x-bpp) + Above(x))/2 5. Paeth - Uses the byte to the left, above, and above left. a. The nearest of the left, above, or above left to the estimate is the Paeth Predictor b. Paeth(x) = Original(x) - Paeth Predictor(x) Paeth Algorithm Estimate = left + above - above left Distance to left = Absolute(estimate - left) Distance to above = Absolute(estimate - above) Distance to above left = Absolute(estimate - above left) The byte with the smallest distance is the Paeth Predictor LZ77 Compression LZ77 Compression looks for sequences in the data that are repeated. LZ77 uses a sliding window to keep track of previous bytes. This is then used to compress a group of bytes that exhibit the same sequence as previous bytes. -
Annual Report 2016
ANNUAL REPORT 2016 PUNJABI UNIVERSITY, PATIALA © Punjabi University, Patiala (Established under Punjab Act No. 35 of 1961) Editor Dr. Shivani Thakar Asst. Professor (English) Department of Distance Education, Punjabi University, Patiala Laser Type Setting : Kakkar Computer, N.K. Road, Patiala Published by Dr. Manjit Singh Nijjar, Registrar, Punjabi University, Patiala and Printed at Kakkar Computer, Patiala :{Bhtof;Nh X[Bh nk;k wjbk ñ Ò uT[gd/ Ò ftfdnk thukoh sK goT[gekoh Ò iK gzu ok;h sK shoE tk;h Ò ñ Ò x[zxo{ tki? i/ wB[ bkr? Ò sT[ iw[ ejk eo/ w' f;T[ nkr? Ò ñ Ò ojkT[.. nk; fBok;h sT[ ;zfBnk;h Ò iK is[ i'rh sK ekfJnk G'rh Ò ò Ò dfJnk fdrzpo[ d/j phukoh Ò nkfg wo? ntok Bj wkoh Ò ó Ò J/e[ s{ j'fo t/; pj[s/o/.. BkBe[ ikD? u'i B s/o/ Ò ô Ò òõ Ò (;qh r[o{ rqzE ;kfjp, gzBk óôù) English Translation of University Dhuni True learning induces in the mind service of mankind. One subduing the five passions has truly taken abode at holy bathing-spots (1) The mind attuned to the infinite is the true singing of ankle-bells in ritual dances. With this how dare Yama intimidate me in the hereafter ? (Pause 1) One renouncing desire is the true Sanayasi. From continence comes true joy of living in the body (2) One contemplating to subdue the flesh is the truly Compassionate Jain ascetic. Such a one subduing the self, forbears harming others. (3) Thou Lord, art one and Sole. -
An Optimized Huffman's Coding by the Method of Grouping
An Optimized Huffman’s Coding by the method of Grouping Gautam.R Dr. S Murali Department of Electronics and Communication Engineering, Professor, Department of Computer Science Engineering Maharaja Institute of Technology, Mysore Maharaja Institute of Technology, Mysore [email protected] [email protected] Abstract— Data compression has become a necessity not only the 3 depending on the size of the data. Huffman's coding basically in the field of communication but also in various scientific works on the principle of frequency of occurrence for each experiments. The data that is being received is more and the symbol or character in the input. For example we can know processing time required has also become more. A significant the number of times a letter has appeared in a text document by change in the algorithms will help to optimize the processing processing that particular document. After which we will speed. With the invention of Technologies like IoT and in assign a variable string to the letter that will represent the technologies like Machine Learning there is a need to compress character. Here the encoding take place in the form of tree data. For example training an Artificial Neural Network requires structure which will be explained in detail in the following a lot of data that should be processed and trained in small paragraph where encoding takes place in the form of binary interval of time for which compression will be very helpful. There tree. is a need to process the data faster and quicker. In this paper we present a method that reduces the data size. -
Arithmetic Coding
Arithmetic Coding Arithmetic coding is the most efficient method to code symbols according to the probability of their occurrence. The average code length corresponds exactly to the possible minimum given by information theory. Deviations which are caused by the bit-resolution of binary code trees do not exist. In contrast to a binary Huffman code tree the arithmetic coding offers a clearly better compression rate. Its implementation is more complex on the other hand. In arithmetic coding, a message is encoded as a real number in an interval from one to zero. Arithmetic coding typically has a better compression ratio than Huffman coding, as it produces a single symbol rather than several separate codewords. Arithmetic coding differs from other forms of entropy encoding such as Huffman coding in that rather than separating the input into component symbols and replacing each with a code, arithmetic coding encodes the entire message into a single number, a fraction n where (0.0 ≤ n < 1.0) Arithmetic coding is a lossless coding technique. There are a few disadvantages of arithmetic coding. One is that the whole codeword must be received to start decoding the symbols, and if there is a corrupt bit in the codeword, the entire message could become corrupt. Another is that there is a limit to the precision of the number which can be encoded, thus limiting the number of symbols to encode within a codeword. There also exist many patents upon arithmetic coding, so the use of some of the algorithms also call upon royalty fees. Arithmetic coding is part of the JPEG data format. -
The Basic Principles of Data Compression
The Basic Principles of Data Compression Author: Conrad Chung, 2BrightSparks Introduction Internet users who download or upload files from/to the web, or use email to send or receive attachments will most likely have encountered files in compressed format. In this topic we will cover how compression works, the advantages and disadvantages of compression, as well as types of compression. What is Compression? Compression is the process of encoding data more efficiently to achieve a reduction in file size. One type of compression available is referred to as lossless compression. This means the compressed file will be restored exactly to its original state with no loss of data during the decompression process. This is essential to data compression as the file would be corrupted and unusable should data be lost. Another compression category which will not be covered in this article is “lossy” compression often used in multimedia files for music and images and where data is discarded. Lossless compression algorithms use statistic modeling techniques to reduce repetitive information in a file. Some of the methods may include removal of spacing characters, representing a string of repeated characters with a single character or replacing recurring characters with smaller bit sequences. Advantages/Disadvantages of Compression Compression of files offer many advantages. When compressed, the quantity of bits used to store the information is reduced. Files that are smaller in size will result in shorter transmission times when they are transferred on the Internet. Compressed files also take up less storage space. File compression can zip up several small files into a single file for more convenient email transmission. -
Lzw Compression and Decompression
LZW COMPRESSION AND DECOMPRESSION December 4, 2015 1 Contents 1 INTRODUCTION 3 2 CONCEPT 3 3 COMPRESSION 3 4 DECOMPRESSION: 4 5 ADVANTAGES OF LZW: 6 6 DISADVANTAGES OF LZW: 6 2 1 INTRODUCTION LZW stands for Lempel-Ziv-Welch. This algorithm was created in 1984 by these people namely Abraham Lempel, Jacob Ziv, and Terry Welch. This algorithm is very simple to implement. In 1977, Lempel and Ziv published a paper on the \sliding-window" compression followed by the \dictionary" based compression which were named LZ77 and LZ78, respectively. later, Welch made a contri- bution to LZ78 algorithm, which was then renamed to be LZW Compression algorithm. 2 CONCEPT Many files in real time, especially text files, have certain set of strings that repeat very often, for example " The ","of","on"etc., . With the spaces, any string takes 5 bytes, or 40 bits to encode. But what if we need to add the whole string to the list of characters after the last one, at 256. Then every time we came across the string like" the ", we could send the code 256 instead of 32,116,104 etc.,. This would take 9 bits instead of 40bits. This is the algorithm of LZW compression. It starts with a "dictionary" of all the single character with indexes from 0 to 255. It then starts to expand the dictionary as information gets sent through. Pretty soon, all the strings will be encoded as a single bit, and compression would have occurred. LZW compression replaces strings of characters with single codes. It does not analyze the input text.