ME365chap7_sigcn - KARTIK B. ARIYUR PURDUE UNIVERSITY...

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Unformatted text preview: KARTIK B. ARIYUR PURDUE UNIVERSITY Signal Conditioning (I) Filters Passive Filters (L, R, C circuits) Active Filters (Op Amp circuits) Loading Effect Energy Flow Between Two Subsystems Operational Amplifiers Golden Rules Op Amp Circuits Signal Conditioning 1 KARTIK B. ARIYUR PURDUE UNIVERSITY Anti-Aliasing Filter an analog filter that removes signal frequencies above f s /2, where f s is the sample frequency Amplifier Low-pass Filter ADC Input Signal Computer Signal Conditioning 2 KARTIK B. ARIYUR PURDUE UNIVERSITY Filters Characterized in the frequency domain through frequency response function. Can be implemented using passive elements (R,L,C), active elements (Op Amps, transistors) or digital components . Filter G ( j w ) Input Output x(t) y(t) Electrical Quantities: Voltage, Current, Impedance ... Electrical Quantities: Voltage, Current, Impedance ... Adjust Gain (Scaling); Clean up Noise; Isolate Interested Signal; Change frequency range; Integrate; Differentiate; ... Signal Conditioning 3 KARTIK B. ARIYUR PURDUE UNIVERSITY Low Pass Filters (LP) Frequency Response K : Static Sensitivity (Gain) t : Time Constant Cut-off Frequency ( w C ) At w C , Passive Filters G j K j w t w 1 w C G C w 10-1 10 10 1-30-60-90 Frequency (rad/sec) Phase deg 10-1 10 10 1-30-20-10 Gain dB Bode Plot for a 1st Order Low Pass Filter PASS BAND-45 o w C Signal Conditioning 4 KARTIK B. ARIYUR PURDUE UNIVERSITY Low Pass Filters (LP) Passive Implementation (RC Network) Impedance (Z) Analysis: Resistance ( Z R ): Capacitance ( Z C ): Passive Filters G j Vo Vin R j LP w w 1 1 C t w w LP RC RC K Time Constant Cut - off Frequency Gain as C 1 1 Vo R C Vin Z V I R R R R Z V I C j C C C 1 w Signal Conditioning 5 KARTIK B. ARIYUR PURDUE UNIVERSITY High Pass Filters (HP) Frequency Response K : Sensitivity (Gain) t : Time Constant Cut-off Frequency ( w C ) At w C , Passive Filters G j K j j w t w t w 1 w C G C w 10-1 10 10 1-30-20-10 Gain dB Bode Plot for 1st Order High Pass Filter 10-1 10 10 1 30 60 90 Frequency (rad/sec) Phase deg PASS BAND-45 o w C Signal Conditioning 6 KARTIK B. ARIYUR PURDUE UNIVERSITY High Pass Filters (HP) Passive Implementation (RC Network) Impedance (Z) Analysis: Resistance ( Z R ): Capacitance ( Z C ): Passive Filters G j Vo Vin R j R j HP w w w C C 1 t w w HP RC RC K Time Constant Cut - off Frequency Gain as C 1 1 Vo R C Vin Z V I R R R R Z V I C j C C C 1 w Signal Conditioning 7 KARTIK B. ARIYUR PURDUE UNIVERSITY...
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This note was uploaded on 04/23/2011 for the course ME 365 taught by Professor Merkle during the Spring '07 term at Purdue University-West Lafayette.

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ME365chap7_sigcn - KARTIK B. ARIYUR PURDUE UNIVERSITY...

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