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14 - Filters - EECS 215 Filters J Phillips EECS 215 Filters...

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EECS 215 Filters J. Phillips EECS 215
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J. Phillips EECS 215 Filters Design circuit to pass or reject particular frequencies ω ω ω ω ω ω ω ω ω ω Bandpass Lowpass Highpass Bandstop J. Phillips EECS 215 Lowpass Filter Pass low frequencies, reject high frequencies ( ) C j R C j V V H i ω ω ω 1 1 0 + = = ( ) RC j H ω ω + = 1 1 ( ) 2 1 1 1 2 2 2 = + = C R H c c ω ω Cutoff frequency ω c is where 10 -1 10 0 10 1 0 0.5 1 |H| RC c 1 = ω
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J. Phillips EECS 215 Highpass Filter Reject low frequencies, pass high frequencies ( ) C j R R V V H i ω ω 1 0 + = = ( ) RC j RC j H ω ω ω + = 1 ( ) 2 1 1 2 2 2 2 2 2 = + = C R C R H c c c ω ω ω Cutoff frequency ω c is where RC c 1 = ω 10 -1 10 0 10 1 0 0.5 1 |H| J. Phillips EECS 215 Bandpass Filter Pass a particular frequency band ( ) + = = C L j R R V V H i ω ω ω 1 0 Center frequency ω o is where LC o 1 = ω 10 -2 10 0 10 2 0 0.5 1 |H|
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J. Phillips EECS 215 Bandstop Filter Reject a particular frequency band ( ) + = = C L j R C L j V V H i ω ω ω ω ω 1 1 0 Center frequency ω o is where LC
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