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Volume 3

The Interference Limit

Mastering Shannon Capacity in Shared Multi User Channels

In a world of finite bandwidth, interference is the ultimate frontier of communication science.

Strategic Objectives

• Grasp the mathematical bounds of multi-user channel capacity.

• Explore advanced coding strategies like interference alignment.

• Understand the trade-offs between cooperation and competition in signal space.

• Master the theoretical foundations for the next generation of wireless standards.

The Core Challenge

As more devices crowd the spectrum, traditional point-to-point information theory fails to account for the complex web of mutual disturbance.

01

The Information Foundation

02

The Geometry of Noise

03

Defining the Interference Channel

04

Limits of Transmission

05

Degrees of Freedom

06

The Broadcast Perspective

07

The Multiple Access Channel

08

Superposition Coding

09

Successive Interference Cancellation

10

Interference Alignment

11

The Role of Feedback

12

Han-Kobayashi Coding

13

Relaying and Cooperation

14

Dirty Paper Coding

15

MIMO Interference Channels

16

The Strong Interference Regime

17

Outage and Fading

18

Cognitive Radio Theory

19

Network Coding

20

Duality in Multi-User Channels

21

The Future of Shannon Theory

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