Active Filter Design

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Contents:
Course overview and introduction,The Butterworth approximation,The Chebyshev approximation,The Chebyshev approximation (contd),The Chebyshev approximation (contd), the Inverse Chebyshev approximation,The Inverse Chebyshev approximation (contd),Synthesis of doubly terminated all-pole LC ladders filters,Synthesis of doubly terminated LC ladders (contd),Synthesis of doubly terminated LC ladders with finite zeros of transmission.

Network sensitivity – low sensitivity of doubly terminated ladders,Introduction to frequency transformations,Frequency (reactance) transformations (contd) – properties of the driving impedance of lossless LC networks- Tellegen’s theorem and positive real functions,Driving point impedance of LC networks (contd), Low Pass-to-Low Pass, Low Pass-to-Band Pass, Low Pass-to-High Pass and Low Pass-to-Band Stop transformations,The Richard’s Transformation, RC-CR transformation,Emulation of an inductor with a capacitor and controlled sources, the gyrator, a second order transconductor capacitor filter.

Cascade of biquads realization of high order low pass filters, equivalence of the parallel RLC and series RLC circuits with their Gm-C counterparts,The idea of Dynamic Range in active filters – impedance scaling and its effect on dynamic range,Introduction to noise in electrical networks,Introduction to noise in electrical networks (contd), the idea of node scaling,Dynamic range scaling in active filters. Lecture 21 – Biquad Ordering,Active Ladder Emulation / Leapfrog Filters, Effect of Transconductor nonidelaities (parasitic capacitance/output resistance),Effect of Transconductor Nonidealities (contd) – parasitic poles,Viewing the Gm-C biquad as a Double Integrator Loop, Revisiting the Effect of Finite Gain of the Transconductors,

Single-ended Versus Differential Filters, Introducing the Differential-pair Based Fully Differential Transconductor, the Need for Common-mode Feedback,Common-mode Feedback (continued) Common-mode Feedback (continued), examples of Common-mode Detectors,Stability of the Common-mode Feedback Loop,Common-mode Positive Feedback in Gyrators,Common-mode Positive Feedback in Gyrators (contd), Noise in the Differential Pair,Noise in the Differential Pair (contd), Linearity of the Differential Pair, Cascoding to Improve Output Impedance,Noise in Cascodes, Layout Considerations and Multi-finger Transistors. Lecture 33 – Linearizing the Differential Pair, Resistive Degeneration,

Noise in Degenerated Transconductors, The Folded Cascode and Noise Analysis Lecture 35 – Stabilizing filter bandwidth over process and temperature – the resistor servo loop, master-slave loops,Turning the filter into a VCO to estimate center frequency, example of a practical precision fixed-gm bias circuit,Introduction to accurate measurement and characterization techniques for active filters,Introduction to Active-RC filters,Active-RC filters (contd), the use of an OTA instead of an opamp, swing and noise considerations, single stage OTAs,Multistage OTAs for use in CMOS Active-RC filters,The Miller compensated opamp in active-RC filters, noise considerations,noise in active-RC filters,Distortion and Intermodulation in filters, miscellaneous discussion on fixed gm-bias circuits

Course Curriculum

AFD01 – Course overview and introduction.(Active Filter Design) Details 47:31
AFD02 – The Butterworth approximation Details 53:20
AFD03 – The Chebyshev approximation Details 44:55
AFD04 – The Chebyshev approximation (contd) Details 43:17
AFD05 – The Chebyshev approximation (contd), the Inverse Chebyshev approximation Details 55:30
AFD06 – The Inverse Chebyshev approximation (contd). Details 44:28
AFD07 – Synthesis of doubly terminated all-pole LC ladders filters Details 1:8:56
AFD08 – Synthesis of doubly terminated LC ladders Details 48:36
AFD09 – Synthesis of doubly terminated LC ladders with finite zeros of transmission. Details 38:14
AFD10 – Network sensitivity – low sensitivity of doubly terminated ladders Details 22:46
AFD11 – Introduction to frequency transformations. Details 40:14
AFD12 – Frequency (reactance) transformations (contd) Details 50:7
AFD13 – Driving point impedance of LC networks (contd), Low Pass-to-Low Pass transformations Details 1:2:50
AFD14 – The Richard’s Transformation, RC-CR transformation Details 58:2
AFD15 – Emulation of an inductor with a capacitor and controlled sources Details 53:40
AFD16 – Cascade of biquads realization of high order low pass filters Details 47:22
AFD17 – The idea of Dynamic Range in active filters Details 1:1:29
AFD18 – Introduction to noise in electrical networks. Details 13:1
AFD19 – Introduction to noise in electrical networks (contd), the idea of node scaling Details 1:25:25
AFD20 – Dynamic range scaling in active filters. Details 54:40
AFD21 – Biquad Ordering. Details 35:9
AFD22 – Active Ladder Emulation / Leapfrog Filters, Effect of Transconductor nonidelaities Details 1:1:33
AFD23 – Effect of Transconductor Nonidealities (contd) – parasitic poles. Details 59:51
AFD24 – Viewing the Gm-C biquad as a Double Integrator Loop Details 37:13
AFD25 – Single-ended Versus Differential Filters Details 1:41:48
AFD26 – Common-mode Feedback (continued). Details 48:34
AFD27 – Common-mode Feedback , examples of Common-mode Detectors. Details 47:46
AFD28 – Stability of the Common-mode Feedback Loop Details 1:21:47
AFD29 – Common-mode Positive Feedback in Gyrators. Details 56:53
AFD30 – Common-mode Positive Feedback in Gyrators (contd), Noise in the Differential Pair. Details 40:57
AFD31 – Noise in the Differential Pair (contd), Linearity of the Differential Pair, Details 1:48:1
AFD32 – Noise in Cascodes, Layout Considerations and Multi-finger Transistors. Details 41:19
AFD33 – Linearizing the Differential Pair, Resistive Degeneration. Details 53:2
AFD34 – Noise in Degenerated Transconductors, The Folded Cascode and Noise Analysis Details 1:43:9
AFD35 – Stabilizing filter bandwidth over process and temperature Details 1:48
AFD36 – Turning the filter into a VCO to estimate center frequency, Details 1:4:28
AFD37 – Introduction to accurate measurement and characterization techniques for active filters. Details 1:7:28
AFD38 – Introduction to Active-RC filters. Details 54:13
AFD39 – Active-RC filters (contd), the use of an OTA instead of an opamp Details 2:3:21
AFD40 – Multistage OTAs for use in CMOS Active-RC filters Details 52:31
AFD41 – The Miller compensated opamp in active-RC filters,noise in active-RC filters Details 47:1
AFD42 – Distortion and Intermodulation in filters, fixed gm-bias circuits Details 55:2

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