MIGS, EXCESS and EQUITABLE ACCESS
TERRY O’LEARY
EBU
TECHNICAL DEPARTMENT
RRC-06
TOPICS
1. MIG
2. SYNTHESIS
3. EXCESS & EQUITABLE ACCESS
RRC-06
1. MIG
TOPICS
• DEFINITION OF A MIG
• BIG MIG
• EXCESS 
XS
• SUBTLETIES (1, 2, 3, ..., )
• RELATIVE SPECTRUM DEMAND 
RSD
• WHAT ‘THEY’ LOOK LIKE
• COMPLICATIONS
• CONCLUSIONS
RRC-06
MIG
MUTUALLY INCOMPATIBLE GROUP
‘1’
‘1’
‘1’
‘2’
‘1’
‘2’
‘3’
‘1’
‘2’
2 requirements, compatible less
than 2 channels needed
2 requirements, IN-compatible
2 channels needed
2-MIG
3 requirements, IN-compatible
3 channels needed
3-MIG
3 requirements
less than 3 channels needed
NOT a MIG
‘1’
‘1’
‘4’
4 requirements, IN-compatible
4 channels needed
‘2’
‘3’
‘1’
‘2’
‘2’
4 requirements
less than 4 channels needed
‘3’
4-MIG
NOT a MIG
RRC-06
Q: HOW MANY
CHANNELS REQUIRED?
B
I
G
THIS IS A BIGGER MIG
WITH 13 REQS
M
I
G
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XS
EXCESS
CASE A
MIG = 4
5 CHANNELS:
1, 2, 3, 4, 5
CASE B
MIG = 4
ONLY 2 CHANNELS:
1, 2
EACH REQ CAN HAVE A CHANNEL
WITH NO INCOMPATIBILITY
THERE IS NO EXCESS IN REQS
2 REQS CAN HAVE A CHANNEL
2 REQS CANNOT HAVE A CHANNEL
THERE IS AN EXCESS OF 2 REQS
EXCESS = XS = 4 – 2 =
2
DRAFT PLAN: BAND IV/V
MIG SIZE = M = 358
RECALL:
‘BIG’ MIG  SIZE 13
# CHANNELS = C = 49
EXCESS = XS = M – C = 358 – 49 = 309 RRC-06
SUBTLETIES (1)
NO 3-MIG
2
?=3
1
?
2
1
2-MIGs
 2 CHANNELS ?
MORAL :
SOMETIMES
MORE CHANNELS
MAY BE NEEDED
THAN THE MIG SIZE
INDICATES RRC-06
SUBTLETIES (2)
MIG SIZE 4
GIVEN REQ
REQs IC with
MIG SIZE 5
MIG SIZE 4
MORAL :
SOMETIMES
LARGE MIGs
10 requirements
MAY HIDE SMALLER
MIGs RRC-06
SUBTLETIES (3)
MIG 1: size 5
MIG 2: size 2
B1
A1
R2
Interconnected MIG: size 7 (= 5 + 2 )
S2
E1
C1
D1
Admin '1'
Figure 2: interconnected MIGs
Admin '2'
MORAL :
INTERNAL SMALL
MIGS MAY
COMBINE TO
EXTERNAL
LARGE MIGS
RRC-06
SUBTLETIES (4)
5 REQUIREMENTS : A, B, C, D, E
MIG SIZE = 2
3 CHANNELS : 1, 2, 3
REQs
ACs
A
1,2,3
B
1
C
1
MORAL :
D
RESTRICTIONS ON
E
ACCEPTABLE
CHANNELS
MAY ALSO CAUSE
1
NO XS REQS ???
D
E
1
–
–
3
A
C
1
B
XS
1
RRC-06
SUBTLETIES (4 CONT)
5 REQUIREMENTS : A, B, C, D, E
MIG SIZE = 2
3 CHANNELS : 1, 2, 3
XS
E
A
REQs
ACs
A
1,2,3
= 2 – 3 = - 1 ?????
B
CONSIDER SUBSETS
D
(B,C) OR (C,D) OR (D,E) C
MIG SIZE = 2; 1 AC
C
D
XS = 2 – 1 = 1
B
E
MORAL :
MIG SUBSETS CAN
LEAD TO LARGER
XS
1
1
1
1
RRC-06
SUBTLETIES (5)
LET’S LOOK AT
REQ NUMBER “5”
MORAL :
ADDING ACs
CAN LEAD TO
LARGER XS
7
MIG = 3
6
5
4
PROBLEM
XS = 2
1 AC

3
MIG = 5
R7
2
R6
MIG = 4
1
R5
R4
R3
R2
1 AC
PROBLEM
XS = 3
R1
CH 17
CH 18
CH 19
RRC-06
RSD (1)
RELATIVE SPECTRUM DEMAND
CASE A
MIG
= 50 = M
CHANNELS = 49 = C
CASE B
MIG
=2 = M
CHANNELS = 1 = C
XS
XS =
=
50 – 49
= 1
2–1
= 1
XS CAN BE REDUCED BY
XS CAN BE REDUCED BY
RESOLVING 1 IC AMONGST
1225 ICS:
RESOLVING 1 IC AMONGST
1 IC:
MORE ‘FLEXIBILITY’
LESS ‘FLEXIBILITY’
RSD  M/C  100 %
CASE A: RSD = 50/49 x 100 = 102 %
CASE B: RSD = 2/1 x 100
= 200 %
RRC-06
RSD (2)
RELATIVE SPECTRUM DEMAND
XS  M – C
RSD  M/C  100 %
OTHER CASES
M = 50
DRAFT PLAN
BAND IV/V
C = 25 : XS = 25 ,
M = 196 C = 49
M = 35
C= 1
M = 42
C = 49
M = 358 C = 49
RSD = 200 %
: XS = 147 , RSD = 400 %
: XS = 34 , RSD = 3500 %
: XS = (- 7) , RSD = 85 %
: XS = 309 , RSD = 731 %
RRC-06
WHAT THEY LOOK LIKE (1)
EXAMPLE FROM 1ST
PLANNING EXERCISE
BIG MIG ZONE
RRC-06
WHAT THEY LOOK LIKE (2)
MIG size = 227
RSD = 463 %
CLOSER LOOK
SOME MIGS HAVE SIZE
358 IN THE DRAFT PLAN!!
RRC-06
COMPLICATIONS
UHF vs. VHF
UHF: UNIFORM CHANNELING  4 ACs = 4 x 8 MHz = 32 MHz
MIG SIZE = 10  10 x 8 MHz = 80 MHz SPECTRUM NEEDED
XS =
RSD
10 – 4 = 6 REQS = 48 MHz =
=
10/4 x 100
=
250%
=
10 x 8 – 4 x 8
(10 x 8)/(4 x 8) x 100
VHF: NON-UNIFORM CHANNEL WIDTH  4 ACs = 4 x ? MHz
MIG SIZE = 10  10 x ? MHz SPECTRUM NEEDED
ACs CAN BE 1.75, 7, OR 8 MHz WIDE
MIGs CAN CONSIST OF DAB (1.75), DVB (7), DVB (8 MHz)
XS = SPECTRUM NEEDED–SPECTRUM AVAILABLE
RSD = (SPEC NEEDED)/(SPEC AVAIL)x100 RRC-06
MIG CONCLUSIONS
1. MIGs ARE A SIMPLIFICATION OF A COMPLEX PROBLEM
2. MIGs ARE USED TO PINPOINT DIFFICULT PLANNING
SITUATIONS
3. MIGs INDICATE MORE REQUIREMENTS THAN THE
AVAILABLE SPECTRUM CAN HOLD
4. MIGs CAN BE RESOLVED BY
•
•
•
•
REDUCING THE NUMBER OF REQUIREMENTS
INCREASING THE NUMBER OF ACCEPTABLE CHANNELS
ACCEPTING INTERFERENCE
ACCEPTING SMALLER COVERAGE AREAS ...
5. RESOLUTION OF ONE MIG MAY REVEAL THE EXISTENCE
OF ANOTHER MIG, INVOLVING THE SAME REQ
6. MORE EXACT METHODS TO DETERMINE RSD SOUGHT
7.
MIGs ARE NOT JUST ‘THE OTHER GUY’S PROBLEM’
RRC-06
2. SYNTHESIS
1. AIM  ALL REQUIREMENTS ASSIGNED
 MAXIMUM NUMBER ASSIGNED
2. CONSTRAINTS  AMOUNT OF SPECTRUM
 NUMBER OF REQUIREMENTS
 ALL REQUIREMENTS “EQUAL”
 NO “FAVOURITES”, NO “PRIORITIES”
RRC-06
3. EXCESS & EQUITABLE ACCESS
1. NO EXCESS  ALL REQUIREMENTS SATISFIED
 EQUITABLE ACCESS TO SPECTRUM
2. EXCESS
 NOT ALL REQUIREMENTS SATISFIED
 NON-EQUITABLE ACCESS
SIMPLE SELF-CONTAINED EXAMPLES
TO ILLUSTRATE THESE POINTS
RRC-06
B
A
1
MIG size = 4
4 channels
4
PROBABILITIES
PROBABILITIES
2 -
100.0 %
3
2
2 -
100.0 %
NO EXCESS
EQUITABLE

REQUIREMENTS
DISTRIBUTION
RRC-06
ONLY 4
CAN BE
ASSIGNED
B
A
4
1
MIG size = 8
4 channels
3
4
PROBABILITIES
0 1.4 %
1 - 22.9 %
2 - 51.4 %
3 - 22.9 %
4 1.4 %
2
3
1
2
EXCESS
REQUIREMENTS
PROBABILITIES
0 1.4 %
1 - 22.9 %
2 - 51.4 %
3 - 22.9 %
4 1.4 %
RRC-06
ONLY 4
CAN BE
ASSIGNED
“EQUITABLE ACCESS”
3
A
DESTROYED
B
4
1
1
MIG size = 12
4 channels
3
PROBABILITIES
0 0.2 % 4
1 6.5 %
2
2 33.9 %
2
3 45.3 %
4 14.1 % SUPER-EXCESS
REQUIREMENTS
PROBABILITIES
0 - 14.1 %
1 - 45.3 %
2 - 33.9 %
3 6.5 %
4 0.2 %
RRC-06
B
A
MIG SIZE = 48
ACs
= 49
16
16
16
C
THIS IS
“EQUITABLE
ACCESS”
100% PROBABILITY
A : 16 CHANNELs
B : 16 CHANNELs
C : 16 CHANNELs
RRC-06
ONLY 49
CAN BE
ASSIGNED
B
A
MIG SIZE = 150
ACs
= 49
50
50
50
98% PROBABILITY
A, B, C : 11 – 22 CHANs
C
12% : 15, 16, 18
7% : 16, 16, 17
6% : 15, 17, 17
IS THIS
“EQUITABLE
ACCESS” ???
RRC-06
ONLY 49
CAN BE
ASSIGNED
B
A
MIG SIZE = 350
ACs
= 49
50
200
100
C
THIS IS NOT
“EQUITABLE
ACCESS”
98% PROBABILITY
50 : 2 – 12 CHANs
100 : 8 – 20 CHANs
200 : 21 – 35 CHANs
RRC-06
XS CONCLUSIONS
1. EXCESS SUBMISSIONS  NO INCREASE THE NUMBER
OF SATISFIED REQUIREMENTS OVERALL
2. EXCESS SUBMISSIONS  DISTORT THE DISTRIBUTION
OF SATISFIED REQUIREMENTS
3. EXCESS SUBMISSIONS  DESTROY EQUITABLE EXCESS
4. EXCESS SUBMISSIONS  INCREASE COORDINATION
5. EXCESS SUBMISSIONS  INCREASE DISAPOINTMENT
RRC-06
TAKE HEART
DON’T LET
THE MIGs
SHOOT YOU

DOWN !!!
RRC-06
MIG, XS, EA
Terry O’Leary
NO
EXCESS
TIME
THANK YOU!
RRC-06