Statistical Signal Processing



  1. Signal Processing Pdf
  2. Statistical Signal Processing Stanford

Class Schedule for Spring 2020

This volume describes the essential tools and techniques of statistical signal processing. At every stage, theoretical ideas are linked to specific applications in communications and signal processing. The book begins with an overview of basic probability, random objects, expectation, and second-order moment theory, followed by a wide variety of examples of the most popular random process. Trophy hunter 2003 download free. full version free. Sl.No Chapter Name MP4 Download; 1: Lec 1: Overview of Statistical Signal Processing: Download: 2: Lec 2: Probability and Random Variables: Download: 3: Lec 3: Linear Algebra of Random Variables.

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Keeping pace with the expanding, ever more complex applications of DSP, this authoritative presentation of computational algorithms for statistical signal processing focuses on 'advanced topics' ignored by other books on the subject. Algorithms for Convolution. The main thrust is to provide students with a solid understanding of a number of important and related advanced topics in digital signal processing such as Wiener filters, power spectrum estimation, signal modeling and adaptive filtering. Scores of worked examples illustrate fine points, compare techniques and algorithms and facilitate comprehension of fundamental concepts.

Signal Processing Pdf

Introduction

Statistical Signal Processing Stanford

WeekTopicHW (Due Thursdays)
1
1/13
Class organization.
Probability: random variables and random vectors, expected values, characteristic functions.
Random processes: Definitions
Tuesday, Thursday
2
1/20
Random processes: Second-order description (mean, correlation function, power spectrum).
Linear vector spaces: inner products, norms, Hilbert spaces, separability.
Tuesday, Thursday
PS I: 2.3, 2.4, 2.8, 2.10, 2.11
3
1/27
Vector space for random processes: inner product, Karhunen-Loève expansion.
Optimization theory: constrained and unconstrained problems.
Estimation theory: notions of error.
Tuesday, Thursday
PS II: 2.17, 2.19, 2.35, 2.47
4
2/3
Estimation theory: parameter estimation, minimum mean-squared error estimation, MAP estimation, linear estimators and the Orthogonality Principle, maximum likelihood estimation, Cramér-Rao bound.
Tuesday, Tuesday audio backup, Thursday
PS III: 2.14, 2.16, 3.1, 4.1
5
2/10
Estimation theory: The Cramér-Rao bound.
Poisson processes and estimating their characteristics.
Tuesday, Thursday
Spring Recess
6
2/17
Linear and nonlinear waveform parameter estimates. Linear signal estimation: Wiener filters.
Tuesday, Thursday
PS IV: 4.2, 4.3, 4.9, 4.11, 4.14
7
2/24
Linear signal estimation: Wiener filters, adaptive filters.
Tuesday, Thursday
PS V: 4.8, 4.12, 4.16, 4.23
8
3/2
Linear signal estimation: Kalman filters. General signal estimation: Bayesian filtering.
Tuesday (missing some audio), (backup audio); Thursday
Quiz I Due
9
3/9
Estimation theory: spectral estimation.
Filtering in the context of basis expansions: Denoising, wavelets, compressive sensing.
Detection theory: likelihood ratio test.
Tuesday, Thursday
10
3/16
Spring Break
11
3/23
Detection theory: ROC curves, Neymann-Pearson detection, Stein’s lemma.
Tuesday, Thursday
PS VI: 4.31, 4.36, 4.38, 4.41
12
3/30
Distance measures for densities, M models, null-hypothesis testing.
Tuesday
PS VII: 4.44, 4.46, 4.54, 5.1
13
4/6
Sequential detection.
Uncertainties in models: simultaneous estimation and detection.
Tuesday, Thursday
PS VIII: 5.2, 5.4, 5.6, 5.10, 5.13
14
4/13
Detection theory: Signals in additive noise.
Signal and noise unknowns.
Tuesday, Thursday
PS IX: 5.5, 5.23, 5.27, 5.51
15
4/20
Non-Gaussian detection theory, type-based detection.
Tuesday, Thursday
Quiz II Due