Digital_Data_FFT_lab

# Digital_Data_FFT_lab - Name: Date of lab: _ Lab 5 _ Section...

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Name: ______________________________________________ Date of lab: ______________________ Section number: M E 345._______ Lab 5 Precalculations – Individual Portion Digital Data: Data Acquisition and FFTs Precalculations Score (for instructor or TA use only): _____ / 20 1. The digital data acquisition system in this lab utilizes an A/D converter that is 16-bit, and has an input range of 10 to 10 V. How many bins or levels of A/D output are available? 2. What is the resolution of this system (give your answer both as an overall resolution and as a +/- resolution, i.e., quantization error in millivolts to 3 significant digits). 3. For the system used in this lab, suppose the voltage to be measured in a certain experiment is always positive, and never exceeds 2.5 V. How many of the 16 bits of the A/D converter are effectively utilized? 4. Consider a pure sine wave signal at 50 Hz. 256 discrete data points are taken at f s = 200 Hz, and an FFT is calculated. Calculate the total sampling time, the frequency resolution, and the maximum useful frequency of the resulting frequency spectrum. 5. Suppose a signal from a vibrating motor is to be sampled discretely with a digital data acquisition system to determine the RPM of the motor. It is known that the maximum possible RPM is 1800. What is the minimum sampling frequency (in Hz) with which the signal can be sampled in order to measure the RPM of the motor? For full credit, show all your work and explain. 6. For the same conditions as above, suppose also that the RPM needs to be known to within a precision of ± 1 RPM. Calculate the minimum number of discretely sampled data points necessary to achieve this resolution.

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Cover Page for Lab Report – Group Portion Digital Data: Data Acquisition and FFTs Name 1: ___________________________________________________ Section M E 345._______ Name 2: ___________________________________________________ Section M E 345._______ Name 3: ___________________________________________________ Section M E 345._______ [Name 4: ___________________________________________________ Section M E 345._______ ] Date when the lab was performed: ______________________ Group Lab Report Score (For instructor or TA use only) : Lab experiment and results, plots, tables, etc. _____ / 50 Discussion _____ / 20 Neatness & grammar _____ / 10 TOTAL ______ / 80 Comments (For instructor or TA use only) : NOTE: The instructor or TA reserves the right to deduct points for any of the following: Arriving late to lab or leaving before your lab group is finished. Not participating in the work of your lab group (freeloading). Causing distractions, arguing, or not paying attention during lab. Other (at the discretion of the instructor or TA).
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## This note was uploaded on 07/23/2008 for the course ME 345 taught by Professor Staff during the Spring '08 term at Pennsylvania State University, University Park.

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Digital_Data_FFT_lab - Name: Date of lab: _ Lab 5 _ Section...

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