Lab+05 - F ILTERS AND F REQUENCY R ESPONSES 5 Electrical...

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Unformatted text preview: F ILTERS AND F REQUENCY R ESPONSES 5 Electrical Engineering 20N Department of Electrical Engineering and Computer Sciences University of California, Berkeley HSIN-I LIU, JONATHAN KOTKER, HOWARD LEI, AND BABAK AYAZIFAR 1 Introduction In this lab session, we will use LabVIEW to help us explore the functioning of various discrete-time filters. Filters are ubiquitous in various disciplines, and are used to remove or to amplify different aspects of either a signal or a medium, such as water. While water filtration removes dirt and other particles, a filter in electrical engineering may remove noise or boost a certain frequency, as is done by a bass boost on a CD player. In electrical engineering, filters are represented by complex functions, whose magnitude and phase show the differences between the original signal and the filtered signal. Using these complex functions, we can analyze the frequency responses of the corresponding filters; from these frequency responses, we can extrapolate the behavior of these filters. Finally, we will analyze the performance of the discrete-time filters in the time domain, using dataflow programming. 1.1 Lab Goals Learn how to plot the magnitude and the phase of the frequency responses of different filters. Use LabVIEW to verify magnitude and phase response plots of filters. Use LabVIEW to emulate discrete-time filters and verify their properties. 1.2 Checkoff Points 2. In-Lab Section . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1. With Great Power Comes Great Frequency Response . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2. Discrete-Time Filters, Reloaded . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3. Filter Represent!: LCCDEs and DAG Block Diagrams . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4. Frequency Domain Analysis . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .(15%) 5. Radians Per ... Sample? . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6. Variations on a Discrete-Time Filter . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . (15%) 7. Time Domain Analysis . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . (20%) 1 3. Post-Lab Section . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ....
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Lab+05 - F ILTERS AND F REQUENCY R ESPONSES 5 Electrical...

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