Solutions_Homework1

# Solutions_Homework1 - the passive router is ﬁxed Thus the...

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GEORGIA TECH LORRAINE GEORGIA INSTITUTE OF TECHNOLOGY School of Electrical and Computer Engineering ECE 6543 Fiber Optic Network Spring Semester 2009 Problem 1 For the ﬁrst connection matrix: channels λ 13 , λ 14 , λ 15 , λ 16 are dropped channels λ 1 , λ 2 , λ 3 , λ 4 are added For the second connection matrix: channels λ 2 , λ 11 are dropped channels λ 2 , λ 11 are added Problem 2 See the solution below: λ 1 λ 5 λ 2 λ 6 λ 1 λ 2 λ 3 λ 4 λ 3 λ 4 λ 5 λ 6 λ 1 λ 2 Problem 3 1. The passive star allows a multicast on λ 1 from input ﬁber 1 to output ﬁbers 1 and 2. The other architectures do not allow this multicast. 1

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2. The passive star does not provide any wavelength reuse; thus, it cannot support two separate connections on wavelength λ 2 . The passive router also cannot support these connections, since the connection pattern for
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Unformatted text preview: the passive router is ﬁxed. Thus, the active switch is the only device which can support the required connections. 3. The passive star, passive router, and the active switch can all support these connections. Problem 4 Four. Since a passive star does not oer wavelength reuse, a separate wavelength is required for each connection. Problem 5 1. Δ 2 is a Latin Square since each wavelength appears only once in each row and in each column. 2. For the ﬁrst row, there are: 3 1 ! × 2 1 ! possible combinations. For the second row, there are 2 combinations. The total number of combinations is then 3 × 2 × 2 = 12. 2...
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## This note was uploaded on 09/01/2010 for the course ECE 6543 taught by Professor Boussert during the Spring '09 term at Georgia Tech.

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Solutions_Homework1 - the passive router is ﬁxed Thus the...

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