Title: Problem: Designing the
1Problem Designing the best channel for an
analog cellular system
- A specific example of a generic radio system
problem, in which both signal and interference
are controlled. - A seemingly simple problem that turns out to be
complex and interesting - Goals Good voice quality spectrum efficiency
Critique the approach! Does it apply to
unregulated designs Like 802.11? How much
complexity needs to be included?
R. Frenkiel 9/18/03
2Whats this about spectrum efficiency?
- Politically important in the 60s and 70s
- Why?
3Whats this about spectrum efficiency?
- Politically important in the 60s and 70s
- Free spectrum to the best system
- efficiency implied serving more people
- BH Erlangs/MHz of spectrum/square mile
- But cell size accomplishes the same thing
- So whats the real reason to be efficient?
4Whats this about spectrum efficiency?
- But cell size accomplishes the same thing
- So whats the real reason to be efficient?
- COST!! (want to maximize channels/cell)
- Base station radios are a minor cost. The cost
of a cell is almost entirely fixed (land,
building, etc.), and the cost of a system
(investment/customer) is almost entirely in the
cells, so doubling the calls handled by a cell
cuts the system investment almost in half.
5Whats this about spectrum efficiency?
- Today you buy the spectrum, and efficiency is
seldom mentioned - But the problem of being efficient remains
but only to minimize investment (not as a
political objective)
6Returning to the problem Designing the best
channel for an analog cellular system
2
4
7
1
2
6
1
5
3
6
1
5
4
3
5
4
2
7
7
1
6
1
6
D/R4.6 N7
FM Deviation vs. Reuse Distance
7Problem Designing the best channel for analog
cellular system
- Underlying logic (circa 1970)
- Channel reuse distance determined by interference
- Greater FM deviation (wider channels) rejects
interference better - Thus, wider channels can be used in nearer cells
- Fewer Channels, but more channels per cell?
- Systems engineers love an optimum
8We need an objective
- Radio systems used a 5 level quality scale--
excellent, good, fair, poor or unintelligible - Tentative Objective 90 of calls good or
excellent - But cells (and therefore calls) are variable
- Re-statement quality is good at 90th -ile s/i
of the cell i.e., the quality is good 90 of the
time - Is that the same?
- How do we apply this objective to the problem?
9A two-phase approach
- Model voice quality vs. s/i Use subjective
listening tests (recorded Harvard sentences,
recorded at different s/i), to determine (for
each FM deviation) the minimum s/i that yields
good quality. (Example result 12 KHz deviation
requires 17 dB s/I for good quality) - Model the s/i distribution for each reuse
distance to determine 90th -ile. Propagation
studies yield mean path loss and variance. Do we
need simulations? (Example result a 7-cell
pattern yields 17 dB s/i at the 90th -ile) - Thus, combining (1) and (2), achieving good
quality at the 90th -ile with 12 KHz deviation
requires a 7-cell pattern
10A two-phase approach (continued)
- Repeat for other deviations. Example result
using 5KHz deviation, we need a 16-cell pattern - Calculate channel spacing for each deviation (how
many total channels per MHz of spectrum) - Calculate spectrum efficiency (channels/cell/Mhz
of allocated spectrum) - If 12 KHz deviation requires a 40 KHz channel
spacing, this example yields 106/(4x104)(7) 3.6
channels/cell/MHz - If 5 KHz deviation requires a 25 KHz channel and
a 16-cell pattern, we get 106/(2.5x104)(16) 2.5
channels/cell/MHz - 12 KHz is more efficient
11We have skipped over some significant problems
- What channel conditions are we actually recording
for these tests? Just s/i x dB?
12Problem Rayleigh Fading
- How does fading get included in this method?
- Not realistic to use recordings at constant s/i
- Sounds too good
- How does fading get included in this method?
13Problem Rayleigh Fading
- How does fading get included in this method?
- Include fading in the recording
- Create s/i distributions based on local mean of
fading signal and interference signals - What fading rate?
- What other questions does this suggest?
14Problem Receiver diversity?
- Cost effective? (at base? at mobile? what
type?)
15Problem Other radio parameters(radio is
non-linear device we need not just a radio we
need the radio)
- What does 12 KHz deviation really mean?
16Problem Radio parameters(radio is non-linear
device)
- What does 12 KHz deviation mean?
- What if I shout? (need peak limiter)
- How do we set limiter (hard vs. soft)?
- Relationship of mean to peak? (deviation vs.
distortion)
17Problem Radio parameters(radio is non-linear
device)
- What if I whisper (need AGC)?
- parameters of AGC?
- How do we maximize deviation without distortion?
18Problem Radio parameters(radio is non-linear
device)
- What if I whisper (need AGC)?
- parameters of AGC?
- How do we maximize deviation without distortion?
- Compandor (a real breakthrough!)
- What limits the compression rule (21, 41, etc)
19Problem Channel Spacing
- 12 KHz deviation generally meant 40 KHz channel
spacing (Carsons Rule) - Why did cellular use only 30 KHz channel spacing?
20Problem Channel Spacing
- 12 KHz deviation generally meant 40 KHz channel
spacing (Carsons Rule) - Why did cellular use only 30 KHz channel spacing?
- Spacing must tolerate near/far problem
- Filter must reject adjacent channel at much
higher level - Cellular can use adjacent channel at different
cell
21Problem Politics
Motorola vs. the Bell System
Political Science
Bell Labs Wider Channels reject interference so
reuse distances are reduced- more channels per
cell Motorola Narrow Channels means less
spectrum for Cellular more channels for
fleets
Conclusion Using complex technical arguments
with non-technical people for political purposes
yields major delays
22Problem Non-uniform Cell grids
- How do we account for irregular grids and
variable terrain? (Good and bad cells?)
23Cells in the Real world
Tolerances and Propagation
24Problem Non-uniform Cell grids
- Non-uniform grids increase the spread in s/I
(more potential dead spots) - How do we account for irregular grids and
variable terrain? - Study actually said N4 would work
- N7 was based on concerns about irregularity
- Further fueled political debate (was it a ploy to
get more spectrum?)
25Comparing deviation vs. quality over the whole
cell (not just the 90th -ile)
E
12 KHz channels
G
Q U A L I T Y
5 KHz channels
F
P
U
17
22
12
S/I
26Equal at 90 percentile
Wide- 7-cells
Narrow- 16 cells
0
50
90 -ile
Wide is more efficient, but different
27Equal Efficiency
Wide with 7-cell pattern
Narrow with 12 cell pattern
Which performance is better?
28What have we ignored?
29What have we ignored?
- Variability during call
- Pedestrians vs. cars
- Harvard sentences vs conversation
- Quiet listening booths vs environmental noise
30What have we ignored?
- Variability during call
- Pedestrians vs. cars
- Harvard sentences vs conversation
- Quiet listening booths vs environmental noise
- NEW TECHNOLOGY
31And now-- the new world ofdigital quality
- Digital voice compression (more channels)
- Dramatic cost reduction (more than 50)
- Error coding to allow good performance at 12 dB
(3-4 cell reuse patterns) - Any Concerns?
32Digital Processing for more reuse?
4-cell w. processing?
Wide- 7-cells
Narrow- 12 cells
33So what do we conclude?
- Is such a process worthwhile?
- Is it so complex that conclusions are
meaningless? - Does it lead to improvements in subsystems (like
companding)? - Is it applicable to unregulated systems?