active filter design techniques
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Active Filter Design Techniques - 2
Fundamentals of Low-Pass Filters Low-Pass Filter Design High-Pass Filter Design Band-Pass Filter Design Band-Rejection Filter Design All-Pass Filter Design Practical Design Hints Design Tools
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Fundamentals of Low-Pass Filters
A filter is a device that passes electric signals at certain frequencies orfrequency ranges while preventing the passage of others . Webster.
Passive Filter Active Filter
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Passive Filter Active Filter
Equivalent Filters
Typical for filters > 1MHz.
For freq < 1MHz, L isphysically large.
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Gyrator Positive Impedance Inverter
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Low-Pass Filter Design
Normalized Frequency:
Transfer Function:
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Cascading of Passive Low-pass Filter Stages
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Cascading of Passive Low-pass Filter Stages
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Passive RC Low-Pass FilterResponses
Gain Phase
Roll-off Slope for 1 st Order:
20dB/decade 6dB/octave
Phase Shift for 1 st Order:
0 @ low freq -90 @ high freq
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Non Ideal Filter ResponseCharacteristics
Gain Phase
Passband Stopband
1.5 Octaves
Gradual transition fromPassband to Stopband
Uneven gainin the pass
band
Nonlinearphase slope
leading todistortion
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Optimization of Filter Design
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Optimization of Filter Design
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Butterworth Filter Response
Optimized for maximum flatness in the passband
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Tschebyscheff Filter
Optimized to sharpen the transition from passband to stopband
Passband Stopband
Steep TransitionSlopes
Ripple in thePassband
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Filters Optimized to Sharpen the Transition fromPassband to Stopband
Ripple in
Passband
Ripple inStopband
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Elliptic (Cauer) FilterOptimized for steepest transition from passband to stopband for a
given filter order.Has ripple in both passband and stopband, however.
Ripple inPassband
Ripple inStopband
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Infinite Impulse Response (IIR)Filter Design Template Filter in Software
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Bessel Filter
Optimized for linear phase response up to f c
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Group delay is a measure of the transit time of asignal versus frequency.
Group delay is a useful measure of phasedistortion, and is calculated by differentiating the
phase response versus frequency.
Group Delay
Gain and
Group Delayof a Bessel
FilterConstant GroupDelay and Linear
Phase in TransitionRegion
http://en.wikipedia.org/wiki/Phase_responsehttp://en.wikipedia.org/wiki/Phase_response -
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Another way to say this is that group delay is ameasure of the slope of the transmission phaseresponse .
The linear portion of the phase response isconverted to a constant value (representing theaverage signal-transit time) and deviations fromlinear phase are transformed into deviations fromconstant group delay.
The variations in group delay cause signaldistortion, just as deviations from linear phase causedistortion.
Group Delay
http://en.wikipedia.org/wiki/Phase_responsehttp://en.wikipedia.org/wiki/Phase_responsehttp://en.wikipedia.org/wiki/Phase_responsehttp://en.wikipedia.org/wiki/Phase_responsehttp://en.wikipedia.org/wiki/Phase_responsehttp://en.wikipedia.org/wiki/Phase_response -
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Gain, Phase and Group Delays across Filter Types
PhaseResponse
Group delayGain
Response
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Quality or Q Factor
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Filter Coefficient Design Tables
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Low-Pass Filter Design
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Cascading of Filter Stages to Achieve Higher Order Filters
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First Order Filter Implementation
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First Order Filter Implementation
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First Order Filter Implementation
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Second Order Filter Implementation
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Second Order Filter ImplementationSallen and Key Topology for 2 nd Order Lowpass Filter
Sallen and Key Topology for 2 nd Order Lowpass Filter
(Unity Gain)
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Second Order Filter ImplementationSallen and Key Topology for 2 nd Order Lowpass Filter
Unity Gain
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Sallen and Key Topology for 2 nd Order Lowpass Filter
Unity Gain
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Second Order Filter ImplementationMultiple Feedback Topology for 2 nd Order Lowpass Filter
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Second Order Filter ImplementationMultiple Feedback Topology for 2 nd Order Lowpass Filter
Sallen and Key
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Second Order Filter ImplementationMultiple Feedback Topology for 2 nd Order Lowpass Filter
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Second Order Filter ImplementationMultiple Feedback Topology for 2 nd Order Lowpass Filter
where
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Cascading of Filter Stages to Achieve Higher Order Filters
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High-Pass Filter Design
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High-pass Low-pass
Noninverting
Inverting
First Order High- and Low-pass Filter Topologies
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High-passLow-pass
Noninverting
First Order High- and Low-pass Filter Topologies
Low-pass High-passExchange Rs with Cs
1/
S 1/S
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High-passLow-passNoninverting
First Order High- and Low-pass Filter Topologies
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High-pass
Noninverting
First Order High- and Low-pass Filter Topologies
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High-pass Low-pass
Second Order High- and Low-pass Filter Topologies
Sallen and Key
Multiple Feedback
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Low-pass to Band-pass Filter Design
S
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Low-pass to Band-pass Filter Design
S
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Low-pass to Band-pass Filter Design
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Low-pass to Band-pass Filter Design
Wide-band Filters
Narrow-band Filters
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High-pass Low-pass
Sallen and Key Second Order Topologies
Band-pass
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Sallen and Key Band-pass Filter
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High-pass Low-pass
Multiple Feedback Second Order Topologies
Band-pass
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Multiple Feedback Band-pass Filter
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Active Filter Design Techniques
Fundamentals of Low-Pass Filters Low-Pass Filter Design High-Pass Filter Design Band-Pass Filter Design Band-Rejection Filter Design All-Pass Filter Design Practical Design Hints Design Tools
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Band-Pass Filter Design
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Band-Rejection Filter Design
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All-Pass Filter Design
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Practical Design Hints
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