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Lecture 6 Higher Order Filters Using Inductor Emulation

Lecture 6 Higher Order Filters Using Inductor Emulation. Inductor Emulation Using Two-port Network. GIC (General Impedance Converter). GII (General Impedance Inverter). Gyrator. Positive Impedance Inverter. Floating inductor. Gyrator Example. Gyration resistance=1/g1=1/g2=R.

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Lecture 6 Higher Order Filters Using Inductor Emulation

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  1. Lecture 6 Higher Order Filters Using Inductor Emulation

  2. Inductor Emulation Using Two-port Network GIC (General Impedance Converter) GII (General Impedance Inverter)

  3. Gyrator Positive Impedance Inverter Floating inductor

  4. Gyrator Example Gyration resistance=1/g1=1/g2=R

  5. Riordan Gyrator

  6. Example For Gyration resistance=1kΩ

  7. Antoniou GIC

  8. Antoniou GIC Inductance emulation is optimum in case of no floating inductors i.e., LC high-pass filters

  9. Example 3rd Order LPF 6th Order BPF

  10. Bruton’s transformation

  11. FDNR Bruton’s inductor simulation based on FDNR Most suitable for LC LPF with minimum cap realization

  12. Filter Performance & Design Trade-offs • Transfer function • (ω0 , Q or BW, Gain, out-of-band attenuation, etc.) • Sensitivity (component variations, parasitics) • Dynamic range (DR) • Maximum input signal (linearity) • Minimum input signal (noise) • Power dissipation & Area

  13. Maximum signal (supply limited)

  14. Voltage swing scaling

  15. Power dissipation For nth order

  16. Thermal noise of a resistor Minimum signal (noise limited)

  17. Example: low-pass filter

  18. Simple Example Large power, large area Large C, Small R Large noise, parasitic sensitive Large R, Small C

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