16 - T E X A S A & M U N I V E R S I T Y DEPARTMENT OF...

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Unformatted text preview: T E X A S A & M U N I V E R S I T Y DEPARTMENT OF MECHANICAL ENGINEERING TEXAS A&M UNIVERSITY COLLEGE STATION, TX 77843-3123 979 845 1251 FAX 979 845 3081 1 of 9 Time Varying Signals and Digital Filtering of Data Objective: Eliminating the unwanted variations in the given signal after it has been acquired via an analog to digital converter. • The data is assumed to be sampled at a given sampling rate, where is the sampling period. • The samples are indexed by some index, , where . • The filter output is some function of the current and past inputs: (1) Digital Filter u y u k 01 2 … y k 01 2 … f s 1 Δ t----- = Δ t k k 0 1 2 … , , , = y k ( ) f u k ( ) u k 1 – ( ) … y k 1 – ( ) y k 2 – ( ) … , , , , , ( ) = T E X A S A & M U N I V E R S I T Y DEPARTMENT OF MECHANICAL ENGINEERING TEXAS A&M UNIVERSITY COLLEGE STATION, TX 77843-3123 409 845 1251 FAX 409 845 3081 2 of 9 Digital Filtering Example Problem and Approaches to Filtering • There is an anomalous “bump” in the data at around , which is sensible to remove through filtering • Data is time varying with no clear end in time; i.e no sense compute 1 1 . 2 2 1 3 1 . 7 4 2 . 6 5 3 . 2 k u k k u 1 2 3 4 5 1 2 3 k 1 = u u k k 1 = ?...
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This note was uploaded on 12/26/2010 for the course MEEN 260 taught by Professor Langari during the Fall '08 term at Texas A&M.

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16 - T E X A S A & M U N I V E R S I T Y DEPARTMENT OF...

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