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Solutions to Chapter 4 - Communication Networks

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<strong>Communication</strong> <strong>Networks</strong> (2 nd Edition)<br />

<strong>Chapter</strong> 4 <strong>Solutions</strong><br />

17. Consider the synchronous multiplexing in Figure 4.15. Explain how the pointers in the outgoing<br />

STS-1 signals are determined.<br />

Solution:<br />

The section and line overhead of each incoming STS-1 signal is terminated and its payload is<br />

mapped in<strong>to</strong> a new STS-1 frame that is synchronous <strong>to</strong> a local clock. The outgoing pointers are<br />

all adjusted according <strong>to</strong> a common clock such that all the outgoing STS-1 frames are<br />

synchronized with respect <strong>to</strong> each other.<br />

18. Draw a sketch <strong>to</strong> explain the relationship between a virtual tributary and the synchronous payload<br />

envelope. Show how 28 T-1 signals can be carried in an STS-1.<br />

Solution:<br />

Seven tributaries are multiplexed in stream. Each tributary carries four T-1 channels and<br />

occupies twelve columns of the SPE, as shown below:<br />

87 Columns<br />

T 1 T 2 T 3 T 4<br />

T 5 T 6 T 7<br />

9 rows<br />

t<br />

The first column is path overhead. The next 84 columns are the seven tributaries and the last two<br />

columns are unused.<br />

19. Do a web search for DWDM equipment available from telecommunications equipment vendors.<br />

What specifications do you see in terms of number of channels, spacing between channels, bit rates<br />

and formats of the signals that can be carried<br />

Solution:<br />

Some specs for WDM and DWDM multiplexers:<br />

Wavelength: 632- 820 nm, 980-1064 nm, 980-1480 nm, 980-1550 nm, 1064-1310 nm,<br />

1310-1550 nm, 1310-1625 nm, 1480-1550 nm, 1550-1625 nm, etc.<br />

Channel Spacing: 50 GHz (0.1 nm spacing between channels), 100 GHz (0.2 nm spacing<br />

between channels), 200 GHz (0.4 nm spacing between channels), etc.<br />

Per channel bit rates: 100 Mbps, 1.2 Gbps, 2.4 Gbps, 10 Gbps, etc.<br />

Number of Channels: 4, 8, 16, 32, 80, 160<br />

20. Consider WDM systems with 100, 200, and 400 wavelengths operating at the 1550 nm region and<br />

each carrying an STS-48 signal.<br />

<strong>Solutions</strong> follow questions:<br />

Leon-Garcia/Widjaja 10

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