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1. What is the value of R when the generator G: = 1001 and the data D = 11000111010? 2. In Section 6.3, the efficiency of slotted ALOHA was roughly derived. Complete the derivation process in this problem. a. Given N active nodes, the efficiency of slotted ALOHA is Np(1 - p) N-1. Find the value of p that maximizes this expression. b. Using the value of p found in (a), determine the efficiency of slotted ALOHA as N approaches infinity. (Hint: (1 - 1/N) approaches 1/e as N approaches infinity.) 3. In the CSMA/CD protocol, an adapter waits for 536K bit times after a collision (where K is chosen randomly). When K = 115, how long does the adapter wait before returning to step 2 on a 10 Mbps broadcast channel? How long does it wait on a 100 Mbps broadcast channel? 4. Consider the CDMA example with one transmitter as shown in Figure 7.5. If the transmitter's CDMA code is (1, 1, −1, 1, 1, −1, − 1, 1), what is the transmitter's output for the two data bits in Figure 7.5? 5. If two CDMA transmitters have codes (1, 1, 1, −1, 1, −1, −1, −1) and (1, −1, 1, 1, 1, 1, 1, 1), respectively, can a receiver correctly interpret the data? 6. Suppose an 802.11b station is set to always use RTS/CTS to reserve the channel. If this station suddenly transmits 1,000 bytes of data and all other stations are idle, calculate the time it takes to send the frame and receive an ACK as a function of SIFS and DIFS. Assume the transmission rate is 12 Mbps, propagation delay is negligible, and there are no bit errors.

1. What is the value of R when the generator G: = 1001 and the data D = 11000111010? 2. In Section 6.3, the efficiency of slotted ALOHA was roughly derived. Complete the derivation process in this problem. a. Given N active nodes, the efficiency of slotted ALOHA is Np(1 - p) N-1. Find the value of p that maximizes this expression. b. Using the value of p found in (a), determine the efficiency of slotted ALOHA as N approaches infinity. (Hint: (1 - 1/N) approaches 1/e as N approaches infinity.) 3. In the CSMA/CD protocol, an adapter waits for 536K bit times after a collision (where K is chosen randomly). When K = 115, how long does the adapter wait before returning to step 2 on a 10 Mbps broadcast channel? How long does it wait on a 100 Mbps broadcast channel? 4. Consider the CDMA example with one transmitter as shown in Figure 7.5. If the transmitter's CDMA code is (1, 1, −1, 1, 1, −1, − 1, 1), what is the transmitter's output for the two data bits in Figure 7.5? 5. If two CDMA transmitters have codes (1, 1, 1, −1, 1, −1, −1, −1) and (1, −1, 1, 1, 1, 1, 1, 1), respectively, can a receiver correctly interpret the data? 6. Suppose an 802.11b station is set to always use RTS/CTS to reserve the channel. If this station suddenly transmits 1,000 bytes of data and all other stations are idle, calculate the time it takes to send the frame and receive an ACK as a function of SIFS and DIFS. Assume the transmission rate is 12 Mbps, propagation delay is negligible, and there are no bit errors.

Computer Networking: A Top-Down Approach (7th Edition)
Computer Networking: A Top-Down Approach (7th Edition)
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Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
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1. What is the value of R when the generator G: = 1001 and the data D = 11000111010? 2. In Section 6.3, the efficiency of slotted ALOHA was roughly derived. Complete the derivation process in this problem. a. Given N active nodes, the efficiency of slotted ALOHA is Np(1 - p) N-1. Find the value of p that maximizes this expression. b. Using the value of p found in (a), determine the efficiency of slotted ALOHA as N approaches infinity. (Hint: (1 - 1/N) approaches 1/e as N approaches infinity.) 3. In the CSMA/CD protocol, an adapter waits for 536K bit times after a collision (where K is chosen randomly). When K = 115, how long does the adapter wait before returning to step 2 on a 10 Mbps broadcast channel? How long does it wait on a 100 Mbps broadcast channel? 4. Consider the CDMA example with one transmitter as shown in Figure 7.5. If the transmitter's CDMA code is (1, 1, −1, 1, 1, −1, − 1, 1), what is the transmitter's output for the two data bits in Figure 7.5? 5. If two CDMA transmitters have codes (1, 1, 1, −1, 1, −1, −1, −1) and (1, −1, 1, 1, 1, 1, 1, 1), respectively, can a receiver correctly interpret the data? 6. Suppose an 802.11b station is set to always use RTS/CTS to reserve the channel. If this station suddenly transmits 1,000 bytes of data and all other stations are idle, calculate the time it takes to send the frame and receive an ACK as a function of SIFS and DIFS. Assume the transmission rate is 12 Mbps, propagation delay is negligible, and there are no bit errors.
Transcribed Image Text:1. What is the value of R when the generator G: = 1001 and the data D = 11000111010? 2. In Section 6.3, the efficiency of slotted ALOHA was roughly derived. Complete the derivation process in this problem. a. Given N active nodes, the efficiency of slotted ALOHA is Np(1 - p) N-1. Find the value of p that maximizes this expression. b. Using the value of p found in (a), determine the efficiency of slotted ALOHA as N approaches infinity. (Hint: (1 - 1/N) approaches 1/e as N approaches infinity.) 3. In the CSMA/CD protocol, an adapter waits for 536K bit times after a collision (where K is chosen randomly). When K = 115, how long does the adapter wait before returning to step 2 on a 10 Mbps broadcast channel? How long does it wait on a 100 Mbps broadcast channel? 4. Consider the CDMA example with one transmitter as shown in Figure 7.5. If the transmitter's CDMA code is (1, 1, −1, 1, 1, −1, − 1, 1), what is the transmitter's output for the two data bits in Figure 7.5? 5. If two CDMA transmitters have codes (1, 1, 1, −1, 1, −1, −1, −1) and (1, −1, 1, 1, 1, 1, 1, 1), respectively, can a receiver correctly interpret the data? 6. Suppose an 802.11b station is set to always use RTS/CTS to reserve the channel. If this station suddenly transmits 1,000 bytes of data and all other stations are idle, calculate the time it takes to send the frame and receive an ACK as a function of SIFS and DIFS. Assume the transmission rate is 12 Mbps, propagation delay is negligible, and there are no bit errors.
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