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
  • 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
  • Single Cell
  • Multiple Cells
gaussian approximation
Gaussian Approximation

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

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

soft handoff
Soft Handoff

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

inter cell interference factor
Inter-Cell Interference Factor
  • 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
total offered traffic
Total Offered Traffic
  • New call arrival process to cell i is Poisson.
  • Total offered traffic to cell i is:
net revenue w
Net Revenue W
  • Revenue generated by accepting a new call
  • Cost of a forced termination
implied costs
Implied Costs
  • 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
optimization of subscribers1
Optimization of Subscribers
  • Worst Scenario:

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

shaping feasible region
Shaping Feasible Region
  • 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
  • Interference is linear in PCF
  • Allows us to reshape the Feasible Region.
conclusions
Conclusions
  • 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

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

  • Maximize Net Revenue
  • Maximize Subscriber Capacity
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