A mathematical framework for resource management in wireless networks

12/3/01


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Table of Contents

A mathematical framework for resource management in wireless networks

In a mobile radio channel, nature performs a Laplace transform of the link performance

Outline

WIRELESS RANDOM-ACCESS

The Wireless Channel

Statistical Fluctuations

Multipath fading

Multipath Reception: Channel fluctuations

Models for Multipath Fading

Time dispersion of narrowband signal (single frequency)

Rayleigh Model

Received Amplitudes

Received Power

Ricean Multipath Reception

Ricean Multipath Reception

Ricean Amplitude

Ricean Power

But there are more effects than just multipath reception:

Shadowing

Summary: Commonly used models

Model for Analysis of Performance

Simplified model for successful reception

Probability of Successful Transmission

Probability of Successful Transmission

Probability of Successful Transmission

Probability of Successful Transmission

Cellular Telephony

Cellular Telephone Networks

Outage Probability for Cell. Telephony

More math in cell planning

Packet Switching

Outline

Random Access

Suitable Protocols

ALOHA Protocol

Capture effect and Near-far effect

Common Performance Analysis Assumptions

Poisson Field of Interferers

Example: Poisson Field of Interferers

Example: California PATH

But, ... what happens if terminals retransmit lost packets?

Uniform throughput in cellular ALOHA

What about the interaction between cells?

Cellular ALOHA

Inter and Intracell Collision Resolution

DS-CDMA ALOHA Network

Intuition

Intuition and Analysis

Collision Resolution

Stack Performance

Packet Delay versus Traffic

Stack Performance in Cellular System

if the traffic has a repetitive component ....

Space Time Reservation Multiple Access

Space Time Reservation Multiple Access

How to design the downlink ...

Downlink

Cellular aspects of packet transmission

Conclusions

Author: Jean-Paul Linnartz

Email: linnartz@per.nl

Home Page: http://wireless.per.nl

Other information:
Diderot forum, November 2001