1. (2 points) Which signal has a wider bandwidth, a sine wave with a frequency of...

Transcribed Image Text:

1. (2 points) Which signal has a wider bandwidth, a sine wave with a frequency of 400 Hz or a sine wave with a frequency of 500 Hz? Why? 2. (3 points) A periodic composite signal with a bandwidth of 1 KHz is composed of two sine waves. The first one has a frequency of 100 Hz with a maximum amplitude of 20 V, and the second one has a maximum amplitude of 5 V. Draw the Frequency Domain Representation 4. Your friend found out that you took NET 362, and now seeks your help! They own 2 buildings (Building A and Building B) that are 2 miles apart, and have run a twisted pair cable between these buildings. They tested this cable by sending sine wave signals at various frequencies and found that a 5 MHz sine wave is the highest frequency they can use reliably between the buildings. They also found the signal-to-noise ratio (SNR) of this cable to be 20 dB. a. (5 points) What is the maximum possible bit rate that can be sent across this cable, given its analog capacity and SNR? b. (5 points) Your e-bay-enthusiast friend buys some NRZ-L transceivers. What is the maximum bit rate that they can send across this cable using NRZ-L data coding? Keep in mind that the e-bay description stated that the channel guarantees zero-noise, and your "reasonable" friend simply wants to figure out the hypothetical maximum. c. (10 points) Your friend checks with the cable manufacturer and finds that the attenuation for this type of twisted pair cable at 5 MHz is 10 dB per mile. They transmit a 5 MHz sine wave signal from Building A with power level of 30 watts and a maximum amplitude of 2 volts. i. What is the power level of the received signal at Building B? ii. What is the maximum amplitude of the sine wave signal received at Building B? d. (5 points) Your friend now considers replacing the NRZ-L transmitters with 4B/5B (block coding) transmitters using NRZ-I line-coding, which are more expensive. Name one advantage that the 4B/5B transmitters would provide compared with the NRZ-L transmitters. What maximum bit rate would be now possible over this cable using the 4B/5B transmitters with NRZ-L? e. (BONUS 5 points) If your friend uses the NRZ-L transmitters to generate the data pattern "11001100" repeatedly on the line at 10 Mbps, what is the fundamental frequency for this data signal, in Hertz? 1. (2 points) Which signal has a wider bandwidth, a sine wave with a frequency of 400 Hz or a sine wave with a frequency of 500 Hz? Why? 2. (3 points) A periodic composite signal with a bandwidth of 1 KHz is composed of two sine waves. The first one has a frequency of 100 Hz with a maximum amplitude of 20 V, and the second one has a maximum amplitude of 5 V. Draw the Frequency Domain Representation 4. Your friend found out that you took NET 362, and now seeks your help! They own 2 buildings (Building A and Building B) that are 2 miles apart, and have run a twisted pair cable between these buildings. They tested this cable by sending sine wave signals at various frequencies and found that a 5 MHz sine wave is the highest frequency they can use reliably between the buildings. They also found the signal-to-noise ratio (SNR) of this cable to be 20 dB. a. (5 points) What is the maximum possible bit rate that can be sent across this cable, given its analog capacity and SNR? b. (5 points) Your e-bay-enthusiast friend buys some NRZ-L transceivers. What is the maximum bit rate that they can send across this cable using NRZ-L data coding? Keep in mind that the e-bay description stated that the channel guarantees zero-noise, and your "reasonable" friend simply wants to figure out the hypothetical maximum. c. (10 points) Your friend checks with the cable manufacturer and finds that the attenuation for this type of twisted pair cable at 5 MHz is 10 dB per mile. They transmit a 5 MHz sine wave signal from Building A with power level of 30 watts and a maximum amplitude of 2 volts. i. What is the power level of the received signal at Building B? ii. What is the maximum amplitude of the sine wave signal received at Building B? d. (5 points) Your friend now considers replacing the NRZ-L transmitters with 4B/5B (block coding) transmitters using NRZ-I line-coding, which are more expensive. Name one advantage that the 4B/5B transmitters would provide compared with the NRZ-L transmitters. What maximum bit rate would be now possible over this cable using the 4B/5B transmitters with NRZ-L? e. (BONUS 5 points) If your friend uses the NRZ-L transmitters to generate the data pattern "11001100" repeatedly on the line at 10 Mbps, what is the fundamental frequency for this data signal, in Hertz?