1- Imagine that you have trained your dog, to carry a box of three 8mm tapes. These tapes each contain 7 gigabytes. The dog can travel to your side, wherever you may be, at 18 km/hour. For what range of distances does The dog have a higher data rate than a transmission line whose data rate (excluding overhead) is 150 Mbps ? Ans . 1- 3 tapes * 7 gigabytes=21 gigabytes 21 gigabytes*8=168 gigabits 18 km/hour=18km/(60*60)= 0.005 km/sec Distance=speed*time Time to travel distance x = x/0.005 km/sec= 200 x sec Data rate=data/time = 168gbps/200x data rate = 168/200x Gbps =168*1000/200x Mbps= 840/x Mbps distance related to 150 Mpbs=840/x Mbps 150=840/x x=5.6 km So, For data rate of 150 Mbps distance < 5.6 km */ According to Shannon's Channel Capacity Equation: R = W*log2(1 + C/N) = W*log2(1+ SNR) Where, R = Maximum Data rate (symbol rate) W = Bw = Nyquist Bandwidth = samples/sec = 1/Ts C = Carrier Power N = Total Noise Power SNR = Signal to Noise Ratio 2. Given the following information, find the minimum bandwidth required for the path: FDM Multiplexing Five devices, each requiring 4000 Hz. 200 Hz guard band for each device. Solution: No. of devices = 5. No. of guard bands required between these is 4. Hence total bandwidth = (4000 x 5) + (200 x 4) = 20.8 KHz.