Last planned examination: Spring 2018
Decision to discontinue this course: No information inserted
PLease see course EQ2845.
The course treats the principles underlying the encoding of speech, audio, video, and images at low bit rates. Source coding techniques such as scalar and vector quantization, orthogonal transforms, and linear prediction are introduced and their performance is analyzed theoretically. The theoretical bounds on the performance of source coders are discussed.
Information theory of discrete and continuous variables: entropy, Kraft inequality, relative entropy, entropy rate, redundancy rate, mutual information, asymptotic equipartition. Estimation of probability density and probability mass functions. Expectation-Maximization algorithm. Maximum entropy principle.
Lossless coding: nonadaptive codes: Shannon, Huffmann, arithmetic codes. Universal and adaptive codes. Ziv-Lempel codes.
Rate-distortion theory: the rate-distortion function, Shannon lower bound, rate distribution over independent variables, reverse waterfilling, Blahut algorithm.
High-rate quantization: constrained-resolution and constrained-entropy quantization. Vector versus scalar quantization. Practical high-rate-theory-based quantizers: mixture and lattice quantizers, companding.
Low-rate quantization: Lloyd training algorithm for constrained-resolution and constrained-entropy cases. Structured vector quantization (tree-structured, multi-stage, gain-shape, lattice). Fast search methods.
Transforms and filter banks: bases and frames. Transforms and filter banks. Fixed transforms: DFT, DCT, MLT, Gabor frames, Balian-Low theorem. A-priori adaptation: Karhunen-Loeve, a-priori energy concentration. A-posteriori adaptation: a-posteriori energy concentration, best-basis search, matching pursuit.
Linear prediction: closed-loop prediction, noise-shaping, analysis-by-synthesis, spectral flatness, Kolmogorov's Formula, spectral flatness, redundancy, forward and backward prediction.
To obtain an understanding of the theoretical principles of source coding.
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For single course students: 120 credits and documented proficiency in English B or equivalent
EQ1220 Signal Theory or equivalent.
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W.B. Kleijn, A basis for source coding, KTH-S3 (2004).
A, B, C, D, E, FX, F
Based on recommendation from KTH’s coordinator for disabilities, the examiner will decide how to adapt an examination for students with documented disability.
The examiner may apply another examination format when re-examining individual students.
Written examination.
Homework.
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Further information about the course can be found on the Course web at the link below. Information on the Course web will later be moved to this site.
Course web EN2500No information inserted
Second cycle
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Markus Flierl