Effects of call arrival rate and mobility on network throughput in multi cell cdma
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Effects of Call Arrival Rate and Mobility on Network Throughput in Multi-Cell CDMA. Manju Hegde, Robert Akl, Paul Min Washington University St. Louis, Missouri USA. Outline. CDMA Capacity and Inter-cell Effects Feasible Region Mobility Model and Blocking Net Revenue Implied Costs

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Effects of call arrival rate and mobility on network throughput in multi cell cdma

Effects of Call Arrival Rate and Mobility on Network Throughput in Multi-Cell CDMA

Manju Hegde, Robert Akl, Paul Min

Washington University

St. Louis, Missouri USA


Outline
Outline Throughput in Multi-Cell CDMA

  • CDMA Capacity and Inter-cell Effects

  • Feasible Region

  • Mobility Model and Blocking

  • Net Revenue

  • Implied Costs

  • Effects of Mobility

  • Maximization of Subscribers

  • Maximization of Revenue

  • Shaping Feasible Region


Probability of outage
Probability of Outage Throughput in Multi-Cell CDMA

  • Single Cell

  • Multiple Cells


Probability of outage1
Probability of Outage Throughput in Multi-Cell CDMA


Gaussian approximation
Gaussian Approximation Throughput in Multi-Cell CDMA

We approximate the Poisson by a Gaussian variable with the same mean and variance:


Probability of outage for multiple cells
Probability of Outage for Multiple Cells Throughput in Multi-Cell CDMA

Iji : Inter-cell interference from cell j to cell i.


Nine cell network
Nine Cell Network Throughput in Multi-Cell CDMA


Probability of outage for each cell
Probability of Outage For Each Cell Throughput in Multi-Cell CDMA


Inter cell interference
Inter-Cell Interference Throughput in Multi-Cell CDMA


Soft handoff
Soft Handoff Throughput in Multi-Cell CDMA

User is permitted to be in soft handoff to its two nearest cells.


Soft handoff1
Soft Handoff Throughput in Multi-Cell CDMA


Inter cell interference factor
Inter-Cell Interference Factor Throughput in Multi-Cell CDMA

  • Kji : per user inter-cell interference factor from cell j to cell i

  • nj users in cell j produce an amount of interference in cell i equal to njKji


Feasible region
Feasible Region Throughput in Multi-Cell CDMA


Total offered traffic
Total Offered Traffic Throughput in Multi-Cell CDMA

  • New call arrival process to cell i is Poisson.

  • Total offered traffic to cell i is:


Handoff rate
Handoff Rate Throughput in Multi-Cell CDMA


Probability of state n
Probability of State Throughput in Multi-Cell CDMAn


Fixed point
Fixed Point Throughput in Multi-Cell CDMA


Net revenue w
Net Revenue Throughput in Multi-Cell CDMAW

  • Revenue generated by accepting a new call

  • Cost of a forced termination


Implied costs
Implied Costs Throughput in Multi-Cell CDMA

  • Find derivative of W wrt new call arrival rate

  • Capture knockon effect of increases in an arrival rate

  • Maximize net revenue for a given blocking probability vector


Three cell network
Three Cell Network Throughput in Multi-Cell CDMA


Effects of call arrival rate and mobility on network throughput in multi cell cdma 1347283

Blocking in Cell 3 Throughput in Multi-Cell CDMA


Effects of call arrival rate and mobility on network throughput in multi cell cdma 1347283

Normalized Arrival Rate Throughput in Multi-Cell CDMA


Net revenue w 1 c 2
Net Revenue W=1 C=2 Throughput in Multi-Cell CDMA


Net revenue w 1 c 10
Net Revenue W=1 C=10 Throughput in Multi-Cell CDMA


Optimization of subscribers
Optimization of Subscribers Throughput in Multi-Cell CDMA

  • Best Scenario:


Optimization of subscribers1
Optimization of Subscribers Throughput in Multi-Cell CDMA

  • Worst Scenario:

    For all values of the arrival rates summing to S, the blocking probabilities do not exceed the threshold.


Maximized subscribers
Maximized Subscribers Throughput in Multi-Cell CDMA


Optimization of net revenue
Optimization of Net Revenue Throughput in Multi-Cell CDMA


Maximized net revenue
Maximized Net Revenue Throughput in Multi-Cell CDMA


Shaping feasible region
Shaping Feasible Region Throughput in Multi-Cell CDMA

  • Increases capacity

  • Fine tune the nominal power of the users through PCF

  • PCF defined for each cell

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


Power compensation factor
Power Compensation Factor Throughput in Multi-Cell CDMA

  • Interference is linear in PCF

  • Allows us to reshape the Feasible Region.


Equal number of users
Equal Number of Users Throughput in Multi-Cell CDMA


Implied cost
Implied Cost Throughput in Multi-Cell CDMA


Shaping with pcf
Shaping with PCF Throughput in Multi-Cell CDMA


Two cell network
Two Cell Network Throughput in Multi-Cell CDMA

Mobility


Feasible region1
Feasible Region Throughput in Multi-Cell CDMA


Shaped feasible region
Shaped Feasible Region Throughput in Multi-Cell CDMA


Maximized subscribers1
Maximized Subscribers Throughput in Multi-Cell CDMA


Maximized net revenue1
Maximized Net Revenue Throughput in Multi-Cell CDMA


Conclusions
Conclusions Throughput in Multi-Cell CDMA

  • For a given network topology we calculate:

    • Inter-cell and intra-cell interference and Feasible Region

    • Maximized net revenue

    • Maximized subscriber capacity

    • Effects of Mobility

  • Shape feasible region to increase maximized net revenue and subscriber capacity


Future work
Future Work Throughput in Multi-Cell CDMA

Design Problem: given a user demand distribution, what are the optimal location and coverage of Base Stations to:

  • Maximize Net Revenue

  • Maximize Subscriber Capacity