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Problem 9-2 In your first week on the job at MegaRobot (a robotics company founded by a Mason alum), you've been asked to select an analog-to-digital converter chip to use in their newest line of robots. These robots transmit data using a signal defined by their assigned robot number. The Nth robot transmits the signal xN(t): N(t) = (ANBN cos(2π(250)t)) cos(2π(N fet)), where fe is a parameter and A and B are constants selected by the robot. For the robot line you are working with, fe = 1000 Hz. AN and By can be adjusted by the robot to convey different messages, e.g., AN = 99 and By = 99 could be used to convey a distress signal. The robots are designed so that up to 100 robots can be operating in the same area, so N 100. Your task is to choose which A/D converter chip to use in the robots. You can select from the list in the table below. Note that each of the chips includes a lowpass filter prior to the continuous-to-discrete conversion process. The table shows the sampling rate, the cutoff frequency of the lowpass filter, and the cost per chip. You can assume that the lowpass filter passes all frequencies below the cutoff frequency with a gain of 1. It eliminates all frequencies above the cutoff frequency. LPF Cutoff Frequency (Hz) Sampling rate (Hz) Cost per chip (dollars) A/D Chip Name Megasample 5200 50,500 Hz 101,000 Hz 0.50 Ultrasample 1000 125,000 Hz 250,000 Hz 1.25 Quatrosample X5 2,500,000 Hz 5,000,000 Hz 25.00 Supersample 100 5,000 Hz 10,000 Hz 0.05 Say which A/D chip you would choose for the robots. Provide a justification of your answer, including all the factors you considered.

Problem 9-2 In your first week on the job at MegaRobot (a robotics company founded by a Mason alum), you've been asked to select an analog-to-digital converter chip to use in their newest line of robots. These robots transmit data using a signal defined by their assigned robot number. The Nth robot transmits the signal xN(t): N(t) = (ANBN cos(2π(250)t)) cos(2π(N fet)), where fe is a parameter and A and B are constants selected by the robot. For the robot line you are working with, fe = 1000 Hz. AN and By can be adjusted by the robot to convey different messages, e.g., AN = 99 and By = 99 could be used to convey a distress signal. The robots are designed so that up to 100 robots can be operating in the same area, so N 100. Your task is to choose which A/D converter chip to use in the robots. You can select from the list in the table below. Note that each of the chips includes a lowpass filter prior to the continuous-to-discrete conversion process. The table shows the sampling rate, the cutoff frequency of the lowpass filter, and the cost per chip. You can assume that the lowpass filter passes all frequencies below the cutoff frequency with a gain of 1. It eliminates all frequencies above the cutoff frequency. LPF Cutoff Frequency (Hz) Sampling rate (Hz) Cost per chip (dollars) A/D Chip Name Megasample 5200 50,500 Hz 101,000 Hz 0.50 Ultrasample 1000 125,000 Hz 250,000 Hz 1.25 Quatrosample X5 2,500,000 Hz 5,000,000 Hz 25.00 Supersample 100 5,000 Hz 10,000 Hz 0.05 Say which A/D chip you would choose for the robots. Provide a justification of your answer, including all the factors you considered.

Computer Networking: A Top-Down Approach (7th Edition)
Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
Section: Chapter Questions
Problem R1RQ: What is the difference between a host and an end system? List several different types of end...
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Problem 9-2 In your first week on the job at MegaRobot (a robotics company founded by a Mason alum), you've been asked to select an analog-to-digital converter chip to use in their newest line of robots. These robots transmit data using a signal defined by their assigned robot number. The Nth robot transmits the signal xN(t): N(t) = (ANBN cos(2π(250)t)) cos(2π(N fet)), where fe is a parameter and A and B are constants selected by the robot. For the robot line you are working with, fe = 1000 Hz. AN and By can be adjusted by the robot to convey different messages, e.g., AN = 99 and By = 99 could be used to convey a distress signal. The robots are designed so that up to 100 robots can be operating in the same area, so N 100. Your task is to choose which A/D converter chip to use in the robots. You can select from the list in the table below. Note that each of the chips includes a lowpass filter prior to the continuous-to-discrete conversion process. The table shows the sampling rate, the cutoff frequency of the lowpass filter, and the cost per chip. You can assume that the lowpass filter passes all frequencies below the cutoff frequency with a gain of 1. It eliminates all frequencies above the cutoff frequency. LPF Cutoff Frequency (Hz) Sampling rate (Hz) Cost per chip (dollars) A/D Chip Name Megasample 5200 50,500 Hz 101,000 Hz 0.50 Ultrasample 1000 125,000 Hz 250,000 Hz 1.25 Quatrosample X5 2,500,000 Hz 5,000,000 Hz 25.00 Supersample 100 5,000 Hz 10,000 Hz 0.05 Say which A/D chip you would choose for the robots. Provide a justification of your answer, including all the factors you considered.
Transcribed Image Text:Problem 9-2 In your first week on the job at MegaRobot (a robotics company founded by a Mason alum), you've been asked to select an analog-to-digital converter chip to use in their newest line of robots. These robots transmit data using a signal defined by their assigned robot number. The Nth robot transmits the signal xN(t): N(t) = (ANBN cos(2π(250)t)) cos(2π(N fet)), where fe is a parameter and A and B are constants selected by the robot. For the robot line you are working with, fe = 1000 Hz. AN and By can be adjusted by the robot to convey different messages, e.g., AN = 99 and By = 99 could be used to convey a distress signal. The robots are designed so that up to 100 robots can be operating in the same area, so N 100. Your task is to choose which A/D converter chip to use in the robots. You can select from the list in the table below. Note that each of the chips includes a lowpass filter prior to the continuous-to-discrete conversion process. The table shows the sampling rate, the cutoff frequency of the lowpass filter, and the cost per chip. You can assume that the lowpass filter passes all frequencies below the cutoff frequency with a gain of 1. It eliminates all frequencies above the cutoff frequency. LPF Cutoff Frequency (Hz) Sampling rate (Hz) Cost per chip (dollars) A/D Chip Name Megasample 5200 50,500 Hz 101,000 Hz 0.50 Ultrasample 1000 125,000 Hz 250,000 Hz 1.25 Quatrosample X5 2,500,000 Hz 5,000,000 Hz 25.00 Supersample 100 5,000 Hz 10,000 Hz 0.05 Say which A/D chip you would choose for the robots. Provide a justification of your answer, including all the factors you considered.
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