Error Correcting Codes
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Error Correcting Codes
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Error Correcting Codes
by Error Correcting Codes

"Learn Error Correcting Codes: theory & applications for robust data transmission."...

5.0  (397 Ratings) 1050 Learner
validy img Validity Unlimited
level All Level
level English
cover Img Preview not available
Program Fee
FREE
About This Course

Error Correcting Codes (ECC) is a fundamental course in information theory and digital communication systems, aimed at understanding and implementing techniques to mitigate data transmission errors in various communication channels. In this course, students delve into the principles, algorithms, and applications of error correcting codes, essential...

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Course Curriculum
11 Sections | 42 Lecture | 39h 41min total length
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Error Correcting Codes

Basics of Block Codes

| 01h 51min total length
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    Course Overview & Basics

    53m <?php echo $alt; ?>
  • <?php echo $alt; ?>

    Example Codes and their Parameters

    57m <?php echo $alt; ?>
Error Correcting Codes

Mathematical Preliminaries: Groups, Rings and Fields

| 02h 53min total length
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    Mathematical Preliminaries: Groups

    55m <?php echo $alt; ?>
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    Subgroups and Equivalence Relations

    59m <?php echo $alt; ?>
  • <?php echo $alt; ?>

    Cosets, Rings & Fields

    58m <?php echo $alt; ?>
Error Correcting Codes

Vector Spaces

| 02h 49min total length
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    Vector Spaces, Linear Independence and Basis

    57m <?php echo $alt; ?>
  • <?php echo $alt; ?>

    Linear Codes, & Linear independence

    55m <?php echo $alt; ?>
  • <?php echo $alt; ?>

    Spanning & Basis

    56m <?php echo $alt; ?>
Error Correcting Codes

Linear Codes

| 02h 52min total length
  • <?php echo $alt; ?>

    The Dual Code

    57m <?php echo $alt; ?>
  • <?php echo $alt; ?>

    Systematic Generator Matrix

    59m <?php echo $alt; ?>
  • <?php echo $alt; ?>

    Minimum Distance of a Linear Code

    55m <?php echo $alt; ?>
Error Correcting Codes

Bounds on Size of a Code

| 01h 50min total length
  • <?php echo $alt; ?>

    Bounds on the size of a Code

    55m <?php echo $alt; ?>
  • <?php echo $alt; ?>

    Asymptotic Bounds

    54m <?php echo $alt; ?>
Error Correcting Codes

Standard Array Decoding

| 01h 52min total length
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    Standard Array Decoding

    55m <?php echo $alt; ?>
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    Performance Analysis of the SAD

    57m <?php echo $alt; ?>
Error Correcting Codes

Convolutional Codes

| 04h 45min total length
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    State and Trellis

    57m <?php echo $alt; ?>
  • <?php echo $alt; ?>

    The Viterbi Decoder

    57m <?php echo $alt; ?>
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    Catastrophic Error Propagation

    56m <?php echo $alt; ?>
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    Path Enumeration

    57m <?php echo $alt; ?>
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    Viterbi Decoder over the AWGN Channel

    56m <?php echo $alt; ?>
Error Correcting Codes

The Generalized Distributive Law

| 07h 34min total length
  • <?php echo $alt; ?>

    Generalized Distributive Law

    57m <?php echo $alt; ?>
  • <?php echo $alt; ?>

    The MPF Problem

    58m <?php echo $alt; ?>
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    Further Examples of the MPF Problem

    57m <?php echo $alt; ?>
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    Junction Trees

    58m <?php echo $alt; ?>
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    Example of Junction Tree Construction

    56m <?php echo $alt; ?>
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    Message passing on the Junction tree

    54m <?php echo $alt; ?>
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    GDL Approach to Decoding Convolutional Codes

    56m <?php echo $alt; ?>
  • <?php echo $alt; ?>

    ML Code-Symbol Decoding of the Convolutional Code

    56m <?php echo $alt; ?>
Error Correcting Codes

LDPC Codes

| 06h 35min total length
  • <?php echo $alt; ?>

    LDPC Codes

    56m <?php echo $alt; ?>
  • <?php echo $alt; ?>

    LDPC Code Terminology

    56m <?php echo $alt; ?>
  • <?php echo $alt; ?>

    Gallager Decoding Algorithm A

    57m <?php echo $alt; ?>
  • <?php echo $alt; ?>

    BP Decoding of LDPC Codes

    54m <?php echo $alt; ?>
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    BP Decoding (Continued)

    56m <?php echo $alt; ?>
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    Density Evolution under BP decoding

    57m <?php echo $alt; ?>
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    Convergence & Concentration Theorem – LDPC Codes

    56m <?php echo $alt; ?>
Error Correcting Codes

Finite Fields

| 03h 47min total length
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    A Construction for Finite Fields

    57m <?php echo $alt; ?>
  • <?php echo $alt; ?>

    Finite Fields: A Deductive Approach

    56m <?php echo $alt; ?>
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    Deductive Approach to Finite Fields

    56m <?php echo $alt; ?>
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    Subfields of a Finite field

    57m <?php echo $alt; ?>
Error Correcting Codes

Cyclic Codes

| 02h 48min total length
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    Transform Approach to Cyclic Codes

    56m <?php echo $alt; ?>
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    Estimating the Parameters of a Cyclic Code

    57m <?php echo $alt; ?>
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    Decoding Cyclic Codes

    53m <?php echo $alt; ?>
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Review & Ratings

5.0