information theory amp source coding

... encoder Modulator Source decoder Channel decoder Demodulator Noisy Channel 11 What is Information Theory? Information theory provides a quantitative measure of source information, the information capacity ... of source encoding by an example: Discrete binary source Source symbol rate= r = 3.5 symbols/s 12/12/13 Source encoder Binary channel C = bit/symbol S = symbols/s SC 24 = bits/s Example of Source ... Example    For a binary source (M=2), p(1)=α and p(0)=1-α = β From (2), we have the binary entropy: H(X)= -α.logα -(1-α).log(1-α) 12/12/13 22 Source coding theorem   Information from a source...

Ngày tải lên: 12/12/2013, 14:15

... measuring its differential entropy 110 INFORMATION THEORY 5.2 MUTUAL INFORMATION 5.2.1 Definition using entropy Mutual information is a measure of the information that members of a set of random ... With this encoding the average number of bits needed for each outcome is only 2, which is in fact equal to the entropy So we have gained a 33% reduction of coding length 108 INFORMATION THEORY 5.1.3 ... code Mutual information thus shows what code length reduction is obtained by coding the whole vector instead of the separate components In general, better codes can be obtained by coding the whole...

Ngày tải lên: 13/12/2013, 14:15

... quantity, predictive information gain, predictive information redundancy and predictive information summation z Predictive Information Quantity (PIQ) PIQ( F ; R ) , the predictive information quantity ... important information for the predicted event According to the above idea, we build the information- theory- based feature type analysis model, which is composed of four concepts: predictive information ... the testing set, used to calculate predictive information quantity, predictive information gain, predictive information redundancy and predictive information summation The other 10% of the corpus...

Ngày tải lên: 20/02/2014, 18:20

... Topics in Information Theory 12 Hash Codes 36 Decision Theory 13 Binary Codes 37 Bayesian Inference and Sampling Theory 14 Very Good Linear Codes Exist 15 Further Exercises on Information Theory ... Topics in Information Theory 12 Hash Codes 36 Decision Theory 13 Binary Codes 37 Bayesian Inference and Sampling Theory 14 Very Good Linear Codes Exist 15 Further Exercises on Information Theory ... Topics in Information Theory 12 Hash Codes 36 Decision Theory 13 Binary Codes 37 Bayesian Inference and Sampling Theory 14 Very Good Linear Codes Exist 15 Further Exercises on Information Theory...

Ngày tải lên: 07/03/2014, 05:20

... noiseless coding theorem states that given a channel with capacity C and an information source with an information of H ≤ C, there exists a coding system such that the output of the source can ... is information in the case of information theory On the first the answer is: what is quantified by the Shannon information and mutual information On the second it is: what is transmitted by information ... by information theory: the point once more that information in the technical sense is not a semantic notion Indeed, considered from the point of view of information theory, the output of an information...

Ngày tải lên: 17/03/2014, 14:42

Ngày tải lên: 31/03/2014, 15:23

... Effects Illustrative Example Enthalpy Heat of Formation at Infinite Dilution Molecular Species Ionic Species Range of Applicability Excess Enthalpy Example IX WORKED EXAMPLES Model Formulation ... limited data available has occasionally led t o serious oversights For example, in t h e C1, scrubbing Chemical Engineers' Hampering the Handbook which has been used for years is actually in error ... procedures and serving a s a source of thermodynamic data either through recommended tabulated values or through annotated bibliographies which point t o suitable sources AQUEOUS ELECTROLYTE THERMODYNAMICS...

Ngày tải lên: 01/04/2014, 11:38

... CONTENTS 11 Source Coding Theorems 11.1 Source Coding and Channel Coding 11.2 Block Source Codes for AMS Sources 11.3 Block Coding Stationary Sources 11.4 Block Coding AMS Ergodic Sources ... ergodic theory and information theory This in turn led to a variety of other applications of ergodic theoretic techniques and results to information theory, mostly in the area of source coding theory: ... This coding theorem is known as the noiseless source coding theorem The second notion of information used by Shannon was mutual information Entropy is really a notion of self information the information...

Ngày tải lên: 24/04/2014, 17:14

Ngày tải lên: 24/04/2014, 17:20

Ngày tải lên: 24/04/2014, 17:20

Ngày tải lên: 24/04/2014, 17:20

... communication theory when he developed information theory, we treat information theory as a field of its own with applications to communication theory and statistics We were drawn to the field of information ... Historical Notes 345 11 Information Theory and Statistics 11.1 Method of Types 347 11.2 Law of Large Numbers 355 11.3 Universal Source Coding 357 11.4 Large Deviation Theory 360 11.5 Examples of Sanov’s ... ELEMENTS OF INFORMATION THEORY Second Edition THOMAS M COVER JOY A THOMAS A JOHN WILEY & SONS, INC., PUBLICATION ELEMENTS OF INFORMATION THEORY ELEMENTS OF INFORMATION THEORY Second Edition...

Ngày tải lên: 03/06/2014, 01:59

... communication theory when he developed information theory, we treat information theory as a field of its own with applications to communication theory and statistics We were drawn to the field of information ... Shannon’s theory A good example of an application of the ideas of information theory is the use of error correcting codes on compact discs Modern work on the communication aspects of information theory ... communication theory via information theory should have a direct impact on the theory of computation 1.1 1.1 PREVIEW OF THE BOOK PREVIEW OF THE BOOK The initial questions treated by information theory...

Ngày tải lên: 07/06/2014, 23:35

... X - Information Theory and Physics CHAPTER XI - Cybernetics CHAPTER XII - Information Theory and Psychology CHAPTER XIII - Information Theory and Art CHAPTER XIV - Back to Communication Theory ... the theory is to be a valid theory, and an invalid theory is useless The ideas and assumptions of a theory determine the generality of the theory, that is, to how wide a range of phenomena the theory ... professional group on information theory, whose Transactions appear six times a year Many other journals publish papers on information theory All of us use the words communication and information, and...

Ngày tải lên: 11/06/2014, 12:05

... information contained in a sample l of x1(k) is only dependent on the information contained in the sample l - τ of x (k) When reverberation is present, then, the information contained in a sample ... correlation [14], which is one of several generalizations of the MI in probability theory and in particular in information theory, to express the amount of dependency existing among the variables The ... in neighboring samples of the sample l τ of x2(k) In this scenario, the MI is not representative enough in the presence of reverberation Thus, in order to better estimate the information conveyed...

Ngày tải lên: 21/06/2014, 01:20

... USA, May 2006 11 [18] D Slepian and J K Wolf, “Noiseless coding of correlated information sources,” IEEE Transactions on Information Theory, vol 19, no 4, pp 471–480, 1973 [19] T M Cover, “A ... Transactions on Information Theory, vol 51, no 12, pp 4057– 4073, 2005 [23] A Ramamoorthy, “Minimum cost distributed source coding over a network,” in Proceedings of IEEE International Symposium on Information ... properties of information, ” IEEE Transactions on Information Theory, vol 53, no 7, pp 2317–2329, 2007 [42] M Madiman, “On the entropy of sums,” in Proceedings of IEEE Information Theory Workshop...

Ngày tải lên: 21/06/2014, 23:20

... “Noiseless coding of correlated information sources,” IEEE Transactions on Information Theory, vol 19, no 4, pp 471–480, 1973 [23] A Wyner and J Ziv, “The rate-distortion function for source coding ... [14] and tampering localization [15] for images, which produce very short hashes by leveraging distributed source coding theory In this system, the hash is composed of the Slepian-Wolf encoding ... follows: Section provides the necessary background information about compressive sensing and distributed source coding; Section describes the tampering model; Section gives a detailed description...

Ngày tải lên: 22/06/2014, 00:20

... toward such joint source- channel coding have focused on either designing channel coding with respect to a fixed source source- optimized channel coding or on designing source coding with respect ... channel—channel-optimized source coding Below, we overview both strategies as applied to wavelet-based image and video source coders 3.2.1 Source- optimized channel coding In source- optimized channel coding, the source ... between source coding (main quantization) and channel coding (added redundancy) While traditional source coding relies on a transform to reduce correlation between original-data (image) samples,...

Ngày tải lên: 22/06/2014, 19:20

... extrapersonal samples to bias the feature selection process, the training samples thus generated are more representative With l = D( L ) intrapersonal difference samples, the training sample generation ... result, 592 intrapersonal and 2000 extrapersonal samples are produced to select 300 Gabor features using the sample generation algorithm and information theory The feature selection process took about ... classification MUTUAL INFORMATION FOR FEATURE SELECTION 3.1 Entropy and mutual information As a basic concept in information theory, entropy H(X) is used to measure the uncertainty of a random variable...

Ngày tải lên: 22/06/2014, 23:20

... papers focusing on applications of frame theory The paper by R Bernardini et al considers an application of frame expansions to multiple description video coding exploiting the error recovery capabilities ... analysis), signal processing (audio and speech, microphone array, blind source separation, sensor fusion), and classification theory (SVM, kernel methods) Yonina C Eldar received the B.S degree in ... are in the general areas of signal processing, statistical signal processing, and quantum information theory Dr Eldar was in the program for outstanding students at TAU from 1992 to 1996 In 1998,...

Ngày tải lên: 22/06/2014, 23:20