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Multi-hop tielines – Grass Valley NV9000-SE v.5.0 User Manual

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NV9000-SE Utilities

User’s Guide

Multi-Hop Tielines

For the sake of path calculations, a multi-hop tieline consists of a starting partition, A, and an
ending partition, Z, and one or more intervening partitions (B, C, D, . . . X, Y) through which
signals are routed from A to Z.)

Each partition, A, B, C, and so on to Z, has degree d

A

, d

B

, d

C

, d

D

, . . . d

X

, d

Y

, d

Z

.

Let N

AB

, N

BC

, N

CD

, . . . N

YZ

be the number of connections between adjacent partitions.

The path count for the multi-hop tieline is

AZ = [ AB × BC × CD × . . . × YZ ] / (d

B

× d

C

× d

D

× . . . d

Y

)

that is, the product of path count for all simple tielines in the route divided by the product of
degrees of all intermediate partitions.

(The result is a maximum; if you have declined to use certain signal types for certain tielines,
the result will be less. The calculations for that situation are extremely complex and not at all
useful.)

Example:

A supports 1080i/59.94, 720p/29.97, 1080i/50, 720p/50, 1080p/23.98. The degree of A is 5.

B supports 525i/59.94 and 625i/50. The degree of B is 2.

C supports 1080i/59.94, 720p/29.97, 1080i/50, 720p/50, 1080p/23.98. The degree of C is 5.

D supports 525i/59.94 and 625i/50. The degree of D is 2.

There are 3 tielines defined between A and B, and also between B and C and between C and D.

The path count is

AD = [ (AB)(BC)(CD) ] / (d

B

× d

C

)

Where

AB = d

A

× d

B

× 3 = 5 × 2 × 3 = 30

BC = d

B

× d

C

× 3 = 2 × 5 × 3 = 30

CD = d

C

× d

D

× 3 = 5 × 2 × 3 = 30

Then

AD = [ (30)(30)(30) ] / (2 × 5)

AD = 27,000 / 10 = 2700.

A

(HD)

d = 5

1080i/59.94,

720p/29.97,

1080i/50,

720p/50,

1080p/23.98

C

(HD)

d = 5

B

(SD)

d = 2

D

(SD)

d = 2

525i/59.94,
625i/50

1080i/59.94, 720p/29.97, 1080i/50,
720p/50, 1080p/23.98

525i/59.94,
625i/50