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(100 pts.) We are trying to characterize the performance of a low-cost velocity sensor. It measures the velocity of a vehicle and the output is a voltage signal. We installed the sensor on a vehicle and tested it under different conditions. We use a second velocity sensor, which is of much higher quality, as the "truth reference." It directly reports the velocity. We recorded the truth reference as "X" and the readings of the low-cost sensor as “Y” in the following table: X (m/ 1 5 10 20 30 40 50 100 150 200 s) Y 0.1 0.2 7.1 19.0 30.3 40.2 50.1 100.0 120 130 (mV) a) Plot Y against X. In what range of velocity can this sensor be considered "linear"? b) Describe the sensitivity of the sensor output (mV) with respect to velocity (m/s) at 30 m/s. c) Let's assume that the sensor's full operating range is 0-250 mV. We would like the smallest detectable change is 0.1 mV. What is the resolution of this sensor? d) If we are using an A/D converter to convert the sensor output into a digital format, how many bits do we need? Hint: 2¹¹ = 2048, 2¹² = 4096.

(100 pts.) We are trying to characterize the performance of a low-cost velocity sensor. It measures the velocity of a vehicle and the output is a voltage signal. We installed the sensor on a vehicle and tested it under different conditions. We use a second velocity sensor, which is of much higher quality, as the "truth reference." It directly reports the velocity. We recorded the truth reference as "X" and the readings of the low-cost sensor as “Y” in the following table: X (m/ 1 5 10 20 30 40 50 100 150 200 s) Y 0.1 0.2 7.1 19.0 30.3 40.2 50.1 100.0 120 130 (mV) a) Plot Y against X. In what range of velocity can this sensor be considered "linear"? b) Describe the sensitivity of the sensor output (mV) with respect to velocity (m/s) at 30 m/s. c) Let's assume that the sensor's full operating range is 0-250 mV. We would like the smallest detectable change is 0.1 mV. What is the resolution of this sensor? d) If we are using an A/D converter to convert the sensor output into a digital format, how many bits do we need? Hint: 2¹¹ = 2048, 2¹² = 4096.

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
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(100 pts.) We are trying to characterize the performance of a low-cost velocity sensor. It measures the velocity of a vehicle and the output is a voltage signal. We installed the sensor on a vehicle and tested it under different conditions. We use a second velocity sensor, which is of much higher quality, as the "truth reference." It directly reports the velocity. We recorded the truth reference as "X" and the readings of the low-cost sensor as “Y” in the following table: X (m/ 1 5 10 20 30 40 50 100 150 200 s) Y 0.1 0.2 7.1 19.0 30.3 40.2 50.1 100.0 120 130 (mV) a) Plot Y against X. In what range of velocity can this sensor be considered "linear"? b) Describe the sensitivity of the sensor output (mV) with respect to velocity (m/s) at 30 m/s. c) Let's assume that the sensor's full operating range is 0-250 mV. We would like the smallest detectable change is 0.1 mV. What is the resolution of this sensor? d) If we are using an A/D converter to convert the sensor output into a digital format, how many bits do we need? Hint: 2¹¹ = 2048, 2¹² = 4096.
Transcribed Image Text:(100 pts.) We are trying to characterize the performance of a low-cost velocity sensor. It measures the velocity of a vehicle and the output is a voltage signal. We installed the sensor on a vehicle and tested it under different conditions. We use a second velocity sensor, which is of much higher quality, as the "truth reference." It directly reports the velocity. We recorded the truth reference as "X" and the readings of the low-cost sensor as “Y” in the following table: X (m/ 1 5 10 20 30 40 50 100 150 200 s) Y 0.1 0.2 7.1 19.0 30.3 40.2 50.1 100.0 120 130 (mV) a) Plot Y against X. In what range of velocity can this sensor be considered "linear"? b) Describe the sensitivity of the sensor output (mV) with respect to velocity (m/s) at 30 m/s. c) Let's assume that the sensor's full operating range is 0-250 mV. We would like the smallest detectable change is 0.1 mV. What is the resolution of this sensor? d) If we are using an A/D converter to convert the sensor output into a digital format, how many bits do we need? Hint: 2¹¹ = 2048, 2¹² = 4096.
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