TIT 1998 - PDF Preprint Papers

TIT 1998

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TIT
1998

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Data Compression and Harmonic Analysis

13 years 4 months ago

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In this article we review some recent interactions between harmonic analysis and data compression. The story goes back of course to Shannon’s R(D) theory in the case of Gaussian...

David L. Donoho, Martin Vetterli, Ronald A. DeVore...

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Id	Views	Title	Status

1	216	Data Compression and Harmonic Analysis	claim
2	158	Modulation and Coding for Linear Gaussian Channels	claim
3	139	Codes for Digital Recorders	claim
4	134	Adaptive Blind Source Separation and Equalization for Multiple-Input/Multiple-Output Systems	claim
5	127	The Art of Signaling: Fifty Years of Coding Theory	claim
6	127	Autocorrelation Values of Generalized Cyclotomic Sequences of Order Two	claim
7	127	On a New Class of Codes for Identifying Vertices in Graphs	claim
8	126	An Asymptotic Property of Model Selection Criteria	claim
9	123	The Minimum Description Length Principle in Coding and Modeling	claim
10	121	Blind Multiuser Detection: A Subspace Approach	claim
11	112	Application of Network Calculus to Guaranteed Service Networks	claim
12	112	Achievable Rates for Tomlinson-Harashima Precoding	claim
13	108	The Capacities of Frequency-Hopped Code-Division Multiple-Access Channels	claim
14	106	About the Asymptotic Accuracy of Barron Density Estimates	claim
15	105	Diversity Waveform Sets for Delay-Doppler Imaging	claim
16	102	On Characterization of Entropy Function via Information Inequalities	claim
17	101	Information Theory and Communication Networks: An Unconsummated Union	claim
18	100	Block-Coded PSK Modulation Using Two-Level Group Codes Over Dihedral Groups	claim
19	99	Information-Theoretic Image Formation	claim
20	96	Nonparametric Estimation of Transfer Functions: Rates of Convergence and Adaptation	claim
21	96	Sequential Prediction of Individual Sequences Under General Loss Functions	claim
22	93	Detection Techniques for Fading Multipath Channels with Unresolved Components	claim
23	93	Multihead Detection for Multitrack Recording Channels	claim
24	92	Fifty Years of Shannon Theory	claim
25	91	Multiaccess Fading Channels-Part II: Delay-Limited Capacities	claim
26	90	On the Complexity of Decoding Lattices Using the Korkin-Zolotarev Reduced Basis	claim
27	90	Source Codes as Random Number Generators	claim
28	89	The Common Randomness Capacity of a Pair of Independent Discrete Memoryless Channels	claim
29	86	Maximin Performance of Binary-Input Channels with Uncertain Noise Distributions	claim
30	86	A Sequential Decoder for Linear Block Codes with a Variable Bias-Term Metric	claim
31	85	Generalized Hamming Weights of q-ary Reed-Muller Codes	claim
32	83	A Comparison of Known Codes, Random Codes, and the Best Codes	claim
33	81	Fast Iterative Coding Techniques for Feedback Channels	claim
34	81	Asymptotic Multiuser Efficiencies for Decision-Directed Multiuser Detectors	claim
35	80	Structural Risk Minimization Over Data-Dependent Hierarchies	claim
36	79	Serial Concatenation of Interleaved Codes: Performance Analysis, Design, and Iterative Decoding	claim
37	79	Greedy and Heuristic Algorithms for Codes and Colorings	claim
38	79	Capacity of Two-Layer Feedforward Neural Networks with Binary Weights	claim
39	78	Stationary Markov Random Fields on a Finite Rectangular Lattice	claim
40	78	A Detection Optimal Min-Max Test for Transient Signals	claim
41	77	A Rate-Distortion Theorem for Arbitrary Discrete Sources	claim
42	77	Detection of Stochastic Processes	claim
43	77	Density Estimation from an Individual Numerical Sequence	claim
44	76	The Compound Channel Capacity of a Class of Finite-State Channels	claim
45	74	Comments on Broadcast Channels	claim
46	73	Subspace Subcodes of Reed-Solomon Codes	claim
47	72	Runlength Limited Codes for Single Error-Detection and Single Error-Correction with Mixed Type Errors	claim
48	72	Error Bounds for Functional Approximation and Estimation Using Mixtures of Experts	claim
49	71	Applications of Error-Control Coding	claim
50	71	Perfect Byte-Correcting Codes	claim
51	71	Convolutional Encoder State Estimation	claim
52	70	The Poisson Multiple-Access Channel	claim
53	70	The Importance of Convexity in Learning with Squared Loss	claim
54	70	Reduced-Redundancy Product Codes for Burst Error Correction	claim
55	70	On the Automorphism Group of Various Goppa Codes	claim
56	69	Relationships Between the Constant Modulus and Wiener Receivers	claim
57	63	On the Consistency of Minimum Complexity Nonparametric Estimation	claim
58	63	Operational Capacity and Pseudoclassicality of a Quantum Channel	claim
59	62	Asymptotic Eigenvalue Distribution of Block-Toeplitz Matrices	claim
60	61	A Proof of the Fisher Information Inequality via a Data Processing Argument	claim
61	60	Zero-Error Information Theory	claim
62	58	Quantum Error Correction Via Codes Over GF(4)	claim
63	58	Error-Rate Characteristics of Oversampled Analog-to-Digital Conversion	claim
64	58	Quantization	claim
65	56	Algebraic-Geometry Codes	claim
66	55	On the Trellis Representation of the Delsarte-Goethals Codes	claim
67	54	Guessing Subject to Distortion	claim
68	54	On the Constructions of Constant-Weight Codes	claim
69	51	On the Maximum Tolerable Noise for Reliable Computation by Formulas	claim
70	50	Memory-Universal Prediction of Stationary Random Processes	claim
71	44	Systematic Lossy Source/Channel Coding	claim
72	43	Quantum Information Theory	claim
73	42	Coded Asynchronous CDMA and Its Efficient Detection	claim
74	40	The Minimax Distortion Redundancy in Empirical Quantizer Design	claim

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