Chapter 3.1 Notes - Chapter 3 Measurement System Behavior...

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1 Chapter 3 Measurement System Behavior Part 1 Material from Figliola and Beasley, 2000, 3ed. Measurement System Behavior Topics: ± General Systems Model ± Transfer Functions ± Phase Linearity ± Multiple Function Inputs ± Coupled Systems Definitions: 1. Each component of a measurement system has its own response to a given input. 2. The overall system response is affected by the response of each stage in the system. 3. To reconstruct an input signal, we need to know the amplitude, frequency, and/or general shape of the signal.
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2 Definitions: 4. Behavior of MS can be defined by a few special inputs which will give us the input/output relationship. This allows us to calibrate the system with a restricted number of tests. 5. MS response to input must be fast enough to pick up dynamically changing conditions. Dynamic Measurements The behavior of measurement systems to a few special inputs will define the input-output signal relationships necessary to enable the correct interpretation of the measured signal. Only a few measurement system characteristics are needed to define the system response, so that dynamic calibrations can be restricted to a few specific tests. The results of these tests can be used to judge the suitability of a particular system for a measurement. 1. The input is represented by some function that acts on the MS 2. A mathematical model is used to represent MS 3. We observe MS response and do an analytical calibration. MS as a Black Box that operates on the input to give us an output. We use y(t) to infer F(t).
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3 General Model of MS: nth order linear differential equations with forcing function n n n n ++ 1 1 d y dt a d y dt ad yd t ay Ft a n n = (/ ) ( / ) . . .
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This note was uploaded on 11/22/2011 for the course ABE 6031 taught by Professor Burks during the Summer '11 term at University of Florida.

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Chapter 3.1 Notes - Chapter 3 Measurement System Behavior...

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