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CS547 Wireless Networking

Task
1) (5 pts) Simplify the following expression:

2) (10 pts) Calculate the period of the following:

a) The function f (t) = (10 cos t)2

b) The frequency of a telephone line which is 3kHz

3) (10 pts) A communication channel is designed to have a capacity of 300 Mbps with a bandwidth of 3 MHz. Calculate the Signal-to-Noise ratio that is required to achieve this data rate.

4) (25 pts) Given the following parameters for a switching network:

N = Number of hops between two end-point stations

L = Message length in bits B = data rate in bits per second (bps)

P = Fixed packet size in bits H = header size for each packet in bits

S = Call setup time (for circuit switching) in seconds

D = Propagation delay per hop in seconds

For N=4, L=3200, B=9600, P=1024, H=16, S=0.2, D=0.001, compute the end-to-end delay for circuit switching and datagram packet switching. Assume that there are no acknowledgements and that the processing delay at each node is negligible.

5) (10 pts) Differentiate between a virtual channel and a virtual path.

6) (10 pts) IP and UDP all discard a packet that arrives with a checksum error and do not attempt to notify the source. Why?

7)(10 pts) Describe the advantage of a parabolic reflective antenna.

8)(20 pts) Suppose a transmitter produces 50 W of power.

a) Express the transmit power in units of dBm and dBW

b) If the transmitter’s power is applied to a unity gain antenna with a 900-MHz carrier frequency, what is the received power in dBm at a free space distance of 100 m?

c) Repeat (b) for a distance of 10 km.

d) Repeat (c) but assume a receiver antenna gain of 2.

Answer
Sure! The end-to-end delay for circuit switching and datagram packet switching can be calculated as the sum of the following components:
Transmission Delay: This is the time it takes to transmit the data from the source to the destination over the communication link. It is given by the formula: where Packet Size is the size of the data packet being transmitted and Link Bandwidth is the bandwidth of the communication link.
Propagation Delay: This is the time it takes for the data to travel from the source to the destination over the physical medium. It depends on the distance between the source and destination, as well as the speed of propagation of the medium. It is given by the formula: where Distance is the distance between the source and destination, and Propagation Speed is the speed of propagation of the medium.
Queuing Delay: This is the time it takes for the data packet to wait in the queue at each node (e.g., router) along the path from the source to the destination. It depends on the congestion level of the network and the queuing policies employed at the nodes.
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