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Cell Design to Maximize Capacity in CDMA Networks/67531/metadc30929/m2/1/high_res… · CDMA...

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Cell Design to Maximize Capacity in CDMA Networks Robert Akl, D.Sc.
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Page 1: Cell Design to Maximize Capacity in CDMA Networks/67531/metadc30929/m2/1/high_res… · CDMA inter-cell effects Capacity region ... Optimization using PCF Network capacity increases

Cell Design to Maximize

Capacity in CDMA Networks

Robert Akl, D.Sc.

Page 2: Cell Design to Maximize Capacity in CDMA Networks/67531/metadc30929/m2/1/high_res… · CDMA inter-cell effects Capacity region ... Optimization using PCF Network capacity increases

Outline

CDMA inter-cell effects

Capacity region

– Base station location

– Pilot-signal power

– Transmission power of the mobiles

Maximize network capacity

Mobility

Call admission control algorithm

Network performance

Page 3: Cell Design to Maximize Capacity in CDMA Networks/67531/metadc30929/m2/1/high_res… · CDMA inter-cell effects Capacity region ... Optimization using PCF Network capacity increases

CDMA Capacity Issues

Depends on inter-cell interference and

intra-cell interference

Complete frequency reuse

Soft Handoff

Power Control

Sectorization

Voice activity detection

Graceful degradation

Page 4: Cell Design to Maximize Capacity in CDMA Networks/67531/metadc30929/m2/1/high_res… · CDMA inter-cell effects Capacity region ... Optimization using PCF Network capacity increases

Relative Average Inter-Cell

Interference

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Page 5: Cell Design to Maximize Capacity in CDMA Networks/67531/metadc30929/m2/1/high_res… · CDMA inter-cell effects Capacity region ... Optimization using PCF Network capacity increases

Soft Handoff

User is permitted to be in soft handoff to

its two nearest cells.

Page 6: Cell Design to Maximize Capacity in CDMA Networks/67531/metadc30929/m2/1/high_res… · CDMA inter-cell effects Capacity region ... Optimization using PCF Network capacity increases

Soft Handoff

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Page 7: Cell Design to Maximize Capacity in CDMA Networks/67531/metadc30929/m2/1/high_res… · CDMA inter-cell effects Capacity region ... Optimization using PCF Network capacity increases

Inter-Cell Interference Factor

. toequal cellin ceinterferen

average relative a produce cellin users

. cell to cell from

factor ceinterferen cell-interuser per

jij

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Page 8: Cell Design to Maximize Capacity in CDMA Networks/67531/metadc30929/m2/1/high_res… · CDMA inter-cell effects Capacity region ... Optimization using PCF Network capacity increases

Capacity Region

Page 9: Cell Design to Maximize Capacity in CDMA Networks/67531/metadc30929/m2/1/high_res… · CDMA inter-cell effects Capacity region ... Optimization using PCF Network capacity increases

Network Capacity

Transmission

power of mobiles

Pilot-signal power

Base station

location

Page 10: Cell Design to Maximize Capacity in CDMA Networks/67531/metadc30929/m2/1/high_res… · CDMA inter-cell effects Capacity region ... Optimization using PCF Network capacity increases

Power Compensation Factor

Fine tune the nominal transmission power of the mobiles

PCF defined for each cell

PCF is a design tool to maximize the capacity of the entire network

Page 11: Cell Design to Maximize Capacity in CDMA Networks/67531/metadc30929/m2/1/high_res… · CDMA inter-cell effects Capacity region ... Optimization using PCF Network capacity increases

Power Compensation Factor (PCF)

Interference is linear in PCF

Find the sensitivity of the network

capacity w.r.t. the PCF

Page 12: Cell Design to Maximize Capacity in CDMA Networks/67531/metadc30929/m2/1/high_res… · CDMA inter-cell effects Capacity region ... Optimization using PCF Network capacity increases

Sensitivity w.r.t. pilot-signal power

Increasing the pilot-signal power of one

cell:

– Increases intra-cell interference and decreases

inter-cell interference in that cell

– Opposite effect takes place in adjacent cells

Page 13: Cell Design to Maximize Capacity in CDMA Networks/67531/metadc30929/m2/1/high_res… · CDMA inter-cell effects Capacity region ... Optimization using PCF Network capacity increases

Sensitivity w.r.t. Location

Moving a cell away from neighbor A and

closer to neighbor B:

– Inter-cell interference from neighbor A

increases

– Inter-cell interference from neighbor B

decreases

Page 14: Cell Design to Maximize Capacity in CDMA Networks/67531/metadc30929/m2/1/high_res… · CDMA inter-cell effects Capacity region ... Optimization using PCF Network capacity increases

Optimization using PCF

Page 15: Cell Design to Maximize Capacity in CDMA Networks/67531/metadc30929/m2/1/high_res… · CDMA inter-cell effects Capacity region ... Optimization using PCF Network capacity increases

Optimization using Location

Page 16: Cell Design to Maximize Capacity in CDMA Networks/67531/metadc30929/m2/1/high_res… · CDMA inter-cell effects Capacity region ... Optimization using PCF Network capacity increases

Optimization using Pilot-signal Power

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Page 17: Cell Design to Maximize Capacity in CDMA Networks/67531/metadc30929/m2/1/high_res… · CDMA inter-cell effects Capacity region ... Optimization using PCF Network capacity increases

Combined Optimization

Page 18: Cell Design to Maximize Capacity in CDMA Networks/67531/metadc30929/m2/1/high_res… · CDMA inter-cell effects Capacity region ... Optimization using PCF Network capacity increases

Twenty-seven Cell CDMA

Network

Uniform user

distribution profile.

Network capacity

equals 559

simultaneous

users.

Uniform placement

is optimal for

uniform user

distribution.

Page 19: Cell Design to Maximize Capacity in CDMA Networks/67531/metadc30929/m2/1/high_res… · CDMA inter-cell effects Capacity region ... Optimization using PCF Network capacity increases

Three Hot Spots

All three hot spots have a relative user density of 5 per grid point.

Network capacity decreases to 536.

Capacity in cells 4, 15, and 19, decreases from 18 to 3, 17 to 1, and 17 to 9.

Page 20: Cell Design to Maximize Capacity in CDMA Networks/67531/metadc30929/m2/1/high_res… · CDMA inter-cell effects Capacity region ... Optimization using PCF Network capacity increases

Optimization using PCF

Network capacity

increases to 555.

Capacity in cells 4,

15, and 19,

increases from 3 to

12, 1 to 9, and 9 to

14.

Smallest cell-

capacity is 9.

Page 21: Cell Design to Maximize Capacity in CDMA Networks/67531/metadc30929/m2/1/high_res… · CDMA inter-cell effects Capacity region ... Optimization using PCF Network capacity increases

Optimization using Pilot-signal Power

Network capacity

increases to 546.

Capacity in cells 4,

15, and 19,

increases from 3 to

11, 1 to 9, and 9 to

16.

Smallest cell-

capacity is 9.

Page 22: Cell Design to Maximize Capacity in CDMA Networks/67531/metadc30929/m2/1/high_res… · CDMA inter-cell effects Capacity region ... Optimization using PCF Network capacity increases

Optimization using Location

Network capacity

increases to 549.

Capacity in cells 4,

15, and 19,

increases from 3 to

14, 1 to 8, and 9 to

17.

Smallest cell-

capacity is 8.

Page 23: Cell Design to Maximize Capacity in CDMA Networks/67531/metadc30929/m2/1/high_res… · CDMA inter-cell effects Capacity region ... Optimization using PCF Network capacity increases

Combined Optimization

Network capacity

increases to 565.

Capacity in cells 4,

15, and 19,

increases from 3 to

16, 1 to 13, and 9 to

16.

Smallest cell-

capacity is 13.

Page 24: Cell Design to Maximize Capacity in CDMA Networks/67531/metadc30929/m2/1/high_res… · CDMA inter-cell effects Capacity region ... Optimization using PCF Network capacity increases
Page 25: Cell Design to Maximize Capacity in CDMA Networks/67531/metadc30929/m2/1/high_res… · CDMA inter-cell effects Capacity region ... Optimization using PCF Network capacity increases

Combined Optimization (m.c.)

Page 26: Cell Design to Maximize Capacity in CDMA Networks/67531/metadc30929/m2/1/high_res… · CDMA inter-cell effects Capacity region ... Optimization using PCF Network capacity increases
Page 27: Cell Design to Maximize Capacity in CDMA Networks/67531/metadc30929/m2/1/high_res… · CDMA inter-cell effects Capacity region ... Optimization using PCF Network capacity increases
Page 28: Cell Design to Maximize Capacity in CDMA Networks/67531/metadc30929/m2/1/high_res… · CDMA inter-cell effects Capacity region ... Optimization using PCF Network capacity increases

Call Admission Control

Fix cell design parameters

Design a call admission control algorithm

– Guarantees quality of service requirements

– “Good” blocking probability

Page 29: Cell Design to Maximize Capacity in CDMA Networks/67531/metadc30929/m2/1/high_res… · CDMA inter-cell effects Capacity region ... Optimization using PCF Network capacity increases

Our Model

New call arrival process to cell i is

Poisson.

Total offered traffic to cell i is:

Page 30: Cell Design to Maximize Capacity in CDMA Networks/67531/metadc30929/m2/1/high_res… · CDMA inter-cell effects Capacity region ... Optimization using PCF Network capacity increases

Handoff Rate

Page 31: Cell Design to Maximize Capacity in CDMA Networks/67531/metadc30929/m2/1/high_res… · CDMA inter-cell effects Capacity region ... Optimization using PCF Network capacity increases

Blocking Probability

Page 32: Cell Design to Maximize Capacity in CDMA Networks/67531/metadc30929/m2/1/high_res… · CDMA inter-cell effects Capacity region ... Optimization using PCF Network capacity increases

Fixed Point

Page 33: Cell Design to Maximize Capacity in CDMA Networks/67531/metadc30929/m2/1/high_res… · CDMA inter-cell effects Capacity region ... Optimization using PCF Network capacity increases

Net Revenue H

Revenue generated by accepting a new

call

Cost of a forced termination due to

handoff failure

Finding the derivative of H w.r.t. the arrival

rate and w.r.t. N is difficult.

Page 34: Cell Design to Maximize Capacity in CDMA Networks/67531/metadc30929/m2/1/high_res… · CDMA inter-cell effects Capacity region ... Optimization using PCF Network capacity increases

Maximization of Net Revenue

Page 35: Cell Design to Maximize Capacity in CDMA Networks/67531/metadc30929/m2/1/high_res… · CDMA inter-cell effects Capacity region ... Optimization using PCF Network capacity increases

3 Mobility Cases

No mobility

qii= 0.3 and qi= 0.7

Low Mobility High Mobility

||Ai|| qij qii qi

3 0.020 0.24 0.7

4 0.015 0.24 0.7

5 0.012 0.24 0.7

6 0.010 0.24 0.7

||Ai|| qij qii qi

3 0.100 0.0 0.7

4 0.075 0.0 0.7

5 0.060 0.0 0.7

6 0.050 0.0 0.7

Page 36: Cell Design to Maximize Capacity in CDMA Networks/67531/metadc30929/m2/1/high_res… · CDMA inter-cell effects Capacity region ... Optimization using PCF Network capacity increases
Page 37: Cell Design to Maximize Capacity in CDMA Networks/67531/metadc30929/m2/1/high_res… · CDMA inter-cell effects Capacity region ... Optimization using PCF Network capacity increases
Page 38: Cell Design to Maximize Capacity in CDMA Networks/67531/metadc30929/m2/1/high_res… · CDMA inter-cell effects Capacity region ... Optimization using PCF Network capacity increases
Page 39: Cell Design to Maximize Capacity in CDMA Networks/67531/metadc30929/m2/1/high_res… · CDMA inter-cell effects Capacity region ... Optimization using PCF Network capacity increases
Page 40: Cell Design to Maximize Capacity in CDMA Networks/67531/metadc30929/m2/1/high_res… · CDMA inter-cell effects Capacity region ... Optimization using PCF Network capacity increases
Page 41: Cell Design to Maximize Capacity in CDMA Networks/67531/metadc30929/m2/1/high_res… · CDMA inter-cell effects Capacity region ... Optimization using PCF Network capacity increases
Page 42: Cell Design to Maximize Capacity in CDMA Networks/67531/metadc30929/m2/1/high_res… · CDMA inter-cell effects Capacity region ... Optimization using PCF Network capacity increases

Maximization of Throughput

Page 43: Cell Design to Maximize Capacity in CDMA Networks/67531/metadc30929/m2/1/high_res… · CDMA inter-cell effects Capacity region ... Optimization using PCF Network capacity increases
Page 44: Cell Design to Maximize Capacity in CDMA Networks/67531/metadc30929/m2/1/high_res… · CDMA inter-cell effects Capacity region ... Optimization using PCF Network capacity increases
Page 45: Cell Design to Maximize Capacity in CDMA Networks/67531/metadc30929/m2/1/high_res… · CDMA inter-cell effects Capacity region ... Optimization using PCF Network capacity increases
Page 46: Cell Design to Maximize Capacity in CDMA Networks/67531/metadc30929/m2/1/high_res… · CDMA inter-cell effects Capacity region ... Optimization using PCF Network capacity increases
Page 47: Cell Design to Maximize Capacity in CDMA Networks/67531/metadc30929/m2/1/high_res… · CDMA inter-cell effects Capacity region ... Optimization using PCF Network capacity increases
Page 48: Cell Design to Maximize Capacity in CDMA Networks/67531/metadc30929/m2/1/high_res… · CDMA inter-cell effects Capacity region ... Optimization using PCF Network capacity increases
Page 49: Cell Design to Maximize Capacity in CDMA Networks/67531/metadc30929/m2/1/high_res… · CDMA inter-cell effects Capacity region ... Optimization using PCF Network capacity increases
Page 50: Cell Design to Maximize Capacity in CDMA Networks/67531/metadc30929/m2/1/high_res… · CDMA inter-cell effects Capacity region ... Optimization using PCF Network capacity increases
Page 51: Cell Design to Maximize Capacity in CDMA Networks/67531/metadc30929/m2/1/high_res… · CDMA inter-cell effects Capacity region ... Optimization using PCF Network capacity increases

Conclusions

Solved cell design problem.

Formed general principles on cell design.

Designed a call admission control algorithm.

Calculated upper bounds on throughput for a given network topology and traffic distribution profile.


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