![Distance calculation
(u1,v1) and (u2,v2) are centers of two cells
Distance D
D^2 = [ (u2-u1)^2 (cos 30)^2 +
{(v2-v1)+(u2-u1) sin 30}^2]
= [ (u2-u1)^2+(v2-v1)^2 +
(v2-v1)(u2-u1) ]
= [I^2 +J^2+IJ] where
(u1,v1) = (0,0) and (u2,v2) = (I,J)
Radius is R for a cell.
Distance between adjacent cells is 1.732 R](https://image.slidesharecdn.com/lecture3-241230035934-06d3cdbe/85/lecture3-ppt-cellular-system-topics-are-covered-13-320.jpg)
lecture3.ppt cellular system topics are covered
- 1. Lecture 3: Cellular Systems
- 2. Frequency Assignments UK US Japan 890 MHz 915 935 960 825 845 870 890 870 885 925 940
- 3. Frequency usage in GSM at Europe f t 124 1 124 1 20 MHz 200 kHz 890.2 MHz 935.2 MHz 915 MHz 960 MHz Bandwidth per channel is 200 kHz Each user is assigned channel for an uplink and a downlink So at most 124 simultaneous calls. Wow! Uplink Downlink
- 4. Goals Low power transmitter system Increase network capacity Frequency reuse Build robust scaleable system Architecture to deal with different user densities at different places
- 5. Idea! Partition the region into smaller regions called cells. Each cell gets at least one base station or tower Users within a cell talks to the tower How can we divide the region into cells?
- 7. Properties of Cell structure Typical Cell sizes some cites few hundred meters country side few tens of kilometers Advantages of cell structures: more capacity due to frequency reusage less transmission power needed more robust, tolerate failures deals interference, transmission area locally Problems: fixed network needed for the base stations handover (changing from one cell to another) necessary interference with other cells
- 8. Inside a cell Center-excited cell where the tower is placed somewhat near the center with a omni-directional antenna Edge-excited cell where the towers are placed on three of the six corners with sectored directional antennas.
- 9. Channels Reuse Cell structure can reuse frequency only when certain distance is maintained between cells that use the same channels. Fixed frequency assignment: certain frequencies are assigned to a certain cell problem: different traffic load in different cells Dynamic frequency assignment: base station chooses frequencies depending on the frequencies already used in neighbor cells more capacity in cells with more traffic assignment can also be based on interference measurements
- 10. Interference Co-channel interference Signals from cells that share a channel cause co- channel interference Cant remove it by increasing power. Adjacent channel interference Signals from adjacent cells cause this. Use filter to reduce it But, available channels decrease for incoming calls.
- 11. Frequency reuse factor Total available channels = S N adjacent cells (called a cluster) share S channels System has M clusters Each cell gets k channels S = k N Capacity of the system is C = MkN Frequency reuse factor is 1/ N
- 12. Geometry of Hexagonal Cell 30 degrees
- 13. Distance calculation (u1,v1) and (u2,v2) are centers of two cells Distance D D^2 = [ (u2-u1)^2 (cos 30)^2 + {(v2-v1)+(u2-u1) sin 30}^2] = [ (u2-u1)^2+(v2-v1)^2 + (v2-v1)(u2-u1) ] = [I^2 +J^2+IJ] where (u1,v1) = (0,0) and (u2,v2) = (I,J) Radius is R for a cell. Distance between adjacent cells is 1.732 R
- 15. Co-channel interference It is a function of q = D/R where R is the cell radius and D is the co-channel separation distance. Notice D is a function of n and S/I where n is the number of interfering channels in the first tier and S/I is signal to interference ratio. In a fully equipped hexagonal-shaped system n is always 6.
- 16. More Calculations A(large)/A(small) = D^2 / R^2 Because of the hexagonal shape the total number of cells included in first tier is N + 6 (N/3) = 3N Therefore D^2/R^2 = 3N = 3(I^2+J^2+IJ)
- 17. S/I ratio There are 6 interfering co-channels each gives i = (D/R)^(-) where 2 <= <= 5 and it is called propagation path-loss slope and depends upon the terrain. (choose 4!) S/I = S/(6i) Experiment with actual users show that we need S/I to be at least 18 dB (or 63.1) Substituting, we get q = (6*63.1)^0.25 = 4.41 We then get N = q^2/3 = 6.49 approximates to 7.
- 18. Cell reuse factor vs Mean S/I Cell reuse factor N q = D/R Voice Channels per cell Calls per Cell per Hour Mean S/I dB 4 3.5 99 2610 14.0 7 4.6 56 1376 18.7 12 6.0 33 739 23.3
- 19. Standard 7 cells sharing system (N = 7) f4 f5 f1 f3 f2 f6 f7 f3 f2 f4 f5 f1
- 20. Other Common Channel Sharing f1 f2 f3 f2 f1 f1 f2 f3 f2 f3 f1 f2 f1 f3 f3 f3 f3 f3 f4 f5 f1 f3 f2 f6 f7 f3 f2 f4 f5 f1 f3 f5 f6 f7 f2 f2 f1 f1 f1 f2 f3 f2 f3 f2 f3 h1 h2 h3 g1 g2 g3 h1 h2 h3 g1 g2 g3 g1 g2 g3 3 cell cluster 7 cell cluster 3 cell cluster with 3 sector antennas
- 21. Handoff What happens when a user is mobile? - Especially when crossing a cell boundary while continuing the call. Handoff strategy is invoked. Find a new base station Process handoff higher priority over new call invocation
- 22. Who and When Who initiates handoff Network directed ( tower determines ) Terminal assisted ( user helps the tower) Terminal directed ( user determines ) When to initiate handoff When the mean signal (over some predetermined time) is below some threshold
- 23. Types of Handoff Hard handoff Mobile user is passed between disjoint towers that assign different frequency or adapt different air-interface technology Soft handoff Mobile user communicates to two towers simultaneously and the signal is treated as a multipath signal
- 24. High priority for Handoff Fraction of available channels is kept for handoff purpose. These channels are called guard channel.
- 25. Other problems with handoff High speed vehicles can cross many small cells in a short time. Umbrella cell. Large cell with a powerful tower to handle high speed vehicles Another problem is called cell dragging. Happens when the user moves slowly away from the cell and the tower didnt recognize it due to strong average signal.
- 26. Improving Capacity Sectoring Cell splitting Process of subdividing a congested cell into smaller cells. Each has its own base station Smaller antenna and reduced transmission power These smaller cells are called microcells
- 27. Generations 1G - First generation (Analog and FM) 2G - Second generation (Digital, TDMA, CDMA) 3G - Third generation (Multi-media) 4G - Fourth generation (?)
- 28. North American Systems AMPS NAMPS TDMA CDMA Generation 2nd 1st
- 29. AMPS Architecture Advanced Mobile Phone System Mobile station Land station Mobile Telephone Switching Office Public Switched Telephone Network Land Lines
- 30. Operation Frequency Original Spectrum ( 40 MHz) Expanded Spectrum (additional 10 MHz) A A A A A A B B B B B B 1 666 A A 832 Channels
- 31. Channel Allocation Each channel gets 30KHz. So a call takes two channels Forward channel (tower to mobile) Reverse channel (mobile to tower) Spectrum is divided into two bands A and B bands Two cellular operating licenses Each authorized to use 416 channels (expanded)
- 32. Control Channels 42 channels (21 in each band) are called control channels Carry only system information Receiver tunes to the control channel Use this channel to establish contact with tower and determine what channel to use for conversation.
- 33. Power Control AMPS terminal can transmit at 6 or 8 different power levels Increase in steps of 4dB Message from Base Station control the power level of active terminal Typically power remains the same during a converstion DTX (Discontinuous Transmission) where the power varies depending upon speech activity
- 34. AMPS Identifiers Notation Name Size bits Description MIN Mobile Identifier 34 Assigned by company to subscriber ESN Electronic serial no. 32 Assigned by manufacturer SID System identifier 15 Assigned by regulators to a geographical service area SCM Station class mark 4 Capability of a mobile station SAT Supervisory audio tone * Assigned by operating company to each BST DCC Digital color code 2 Same as above
- 35. Frequency Assignments Europe US Japan 1710 MHz 1785 1805 1885 1850 1910 1930 1990 1895 1918