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Lecture 39

# Lecture 39 - Lecture 39 Filters Filters goal x(t 5 4 3 2...

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Lecture 39 Filters

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Filters: goal Goal of a filter is to select for some parts of a signal and reject others Implement with R, L, C, op-amp circuits Filter will select for things “similar” to its impulse response. Reject things that are different. So H(s) is key. -5 -4 -3 -2 -1 0 1 2 3 4 5 1 51 101 151 201 0 0.01 0.02 0.03 0.04 0.05 0.06 0.07 1 26 51 -0.4 -0.2 0 0.2 0.4 0.6 0.8 1 1.2 1 26 51 -4 -3 -2 -1 0 1 2 3 1 51 101 151 201 -2.5 -2 -1.5 -1 -0.5 0 0.5 1 1.5 2 2.5 1 51 101 151 201 h 1 (t) h 2 (t) x(t) h 1 (t)*x(t) h 2 (t)*x(t)
An easier way to look at it Convert to frequency domain: Fast, transient signals barb2right high frequency Slow, sustained signals barb2right low frequency Can do this for transfer functions too: – h(t) barb2right H(s) barb2right H(j ω ) Describe H(j ω ) by what frequencies it “passes” -5 -4 -3 -2 -1 0 1 2 3 4 5 1 51 101 151 201 0 0.01 0.02 0.03 0.04 0.05 0.06 0.07 1 26 51 -0.4 -0.2 0 0.2 0.4 0.6 0.8 1 1.2 1 26 51 h 1 (t) h 2 (t) ( 29 ( 29( 29 2 1 1 p s p s s s H + + = ( 29 ( 29( 29 3 2 2 1 p s p s s H + + = Band-pass low-pass

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Types of filters Low pass filters (LPF) Use when want only slow stuff
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Lecture 39 - Lecture 39 Filters Filters goal x(t 5 4 3 2...

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