![Page 1: Logical Effort Section 6.5-6.6.1. Problems: P6.2 Compute the oscillation frequency of a seven-stage ring oscillator using 0.18 micron technology. Does](https://reader030.vdocuments.mx/reader030/viewer/2022032800/56649d2d5503460f94a031a5/html5/thumbnails/1.jpg)
Logical Effort
Section 6.5-6.6.1
![Page 2: Logical Effort Section 6.5-6.6.1. Problems: P6.2 Compute the oscillation frequency of a seven-stage ring oscillator using 0.18 micron technology. Does](https://reader030.vdocuments.mx/reader030/viewer/2022032800/56649d2d5503460f94a031a5/html5/thumbnails/2.jpg)
Problems:
• P6.2 Compute the oscillation frequency of a seven-stage ring oscillator using 0.18 micron technology. Does the size of the inverters make any difference in the result?
![Page 3: Logical Effort Section 6.5-6.6.1. Problems: P6.2 Compute the oscillation frequency of a seven-stage ring oscillator using 0.18 micron technology. Does](https://reader030.vdocuments.mx/reader030/viewer/2022032800/56649d2d5503460f94a031a5/html5/thumbnails/3.jpg)
Problem
• P6.4 Determine the self-capacitance at the output assuming step changes at the inputs shown.
![Page 4: Logical Effort Section 6.5-6.6.1. Problems: P6.2 Compute the oscillation frequency of a seven-stage ring oscillator using 0.18 micron technology. Does](https://reader030.vdocuments.mx/reader030/viewer/2022032800/56649d2d5503460f94a031a5/html5/thumbnails/4.jpg)
Sizing Issues
![Page 5: Logical Effort Section 6.5-6.6.1. Problems: P6.2 Compute the oscillation frequency of a seven-stage ring oscillator using 0.18 micron technology. Does](https://reader030.vdocuments.mx/reader030/viewer/2022032800/56649d2d5503460f94a031a5/html5/thumbnails/5.jpg)
Proper Formulation of a Delay Problem
![Page 6: Logical Effort Section 6.5-6.6.1. Problems: P6.2 Compute the oscillation frequency of a seven-stage ring oscillator using 0.18 micron technology. Does](https://reader030.vdocuments.mx/reader030/viewer/2022032800/56649d2d5503460f94a031a5/html5/thumbnails/6.jpg)
Reformulate a Delay Problem
Key Concepts:Intrinsic Time ConstantFanout Ratio
![Page 7: Logical Effort Section 6.5-6.6.1. Problems: P6.2 Compute the oscillation frequency of a seven-stage ring oscillator using 0.18 micron technology. Does](https://reader030.vdocuments.mx/reader030/viewer/2022032800/56649d2d5503460f94a031a5/html5/thumbnails/7.jpg)
Optimal Sizing of Inverter Chain
![Page 8: Logical Effort Section 6.5-6.6.1. Problems: P6.2 Compute the oscillation frequency of a seven-stage ring oscillator using 0.18 micron technology. Does](https://reader030.vdocuments.mx/reader030/viewer/2022032800/56649d2d5503460f94a031a5/html5/thumbnails/8.jpg)
Stage Fanout
![Page 9: Logical Effort Section 6.5-6.6.1. Problems: P6.2 Compute the oscillation frequency of a seven-stage ring oscillator using 0.18 micron technology. Does](https://reader030.vdocuments.mx/reader030/viewer/2022032800/56649d2d5503460f94a031a5/html5/thumbnails/9.jpg)
Delay Versus Fanout
![Page 10: Logical Effort Section 6.5-6.6.1. Problems: P6.2 Compute the oscillation frequency of a seven-stage ring oscillator using 0.18 micron technology. Does](https://reader030.vdocuments.mx/reader030/viewer/2022032800/56649d2d5503460f94a031a5/html5/thumbnails/10.jpg)
Examples
• Examples 6.8• Examples 6.9
![Page 11: Logical Effort Section 6.5-6.6.1. Problems: P6.2 Compute the oscillation frequency of a seven-stage ring oscillator using 0.18 micron technology. Does](https://reader030.vdocuments.mx/reader030/viewer/2022032800/56649d2d5503460f94a031a5/html5/thumbnails/11.jpg)
Series of Mixed Gates
![Page 12: Logical Effort Section 6.5-6.6.1. Problems: P6.2 Compute the oscillation frequency of a seven-stage ring oscillator using 0.18 micron technology. Does](https://reader030.vdocuments.mx/reader030/viewer/2022032800/56649d2d5503460f94a031a5/html5/thumbnails/12.jpg)
Example
• Example 6.10
![Page 13: Logical Effort Section 6.5-6.6.1. Problems: P6.2 Compute the oscillation frequency of a seven-stage ring oscillator using 0.18 micron technology. Does](https://reader030.vdocuments.mx/reader030/viewer/2022032800/56649d2d5503460f94a031a5/html5/thumbnails/13.jpg)
Derivation of Logic Effort
![Page 14: Logical Effort Section 6.5-6.6.1. Problems: P6.2 Compute the oscillation frequency of a seven-stage ring oscillator using 0.18 micron technology. Does](https://reader030.vdocuments.mx/reader030/viewer/2022032800/56649d2d5503460f94a031a5/html5/thumbnails/14.jpg)
Obtain Logic Effort of a Gate
• From definition of intrinsic time constant
![Page 15: Logical Effort Section 6.5-6.6.1. Problems: P6.2 Compute the oscillation frequency of a seven-stage ring oscillator using 0.18 micron technology. Does](https://reader030.vdocuments.mx/reader030/viewer/2022032800/56649d2d5503460f94a031a5/html5/thumbnails/15.jpg)
Determine LE by taking the ratio of Input Capacitances
![Page 16: Logical Effort Section 6.5-6.6.1. Problems: P6.2 Compute the oscillation frequency of a seven-stage ring oscillator using 0.18 micron technology. Does](https://reader030.vdocuments.mx/reader030/viewer/2022032800/56649d2d5503460f94a031a5/html5/thumbnails/16.jpg)
Determine LE by taking the Delay Ratio
![Page 17: Logical Effort Section 6.5-6.6.1. Problems: P6.2 Compute the oscillation frequency of a seven-stage ring oscillator using 0.18 micron technology. Does](https://reader030.vdocuments.mx/reader030/viewer/2022032800/56649d2d5503460f94a031a5/html5/thumbnails/17.jpg)
Determine the Parasitic Term
• 2 input-NAND• 2 input-NOR• Subtleties of Table 6.2
![Page 18: Logical Effort Section 6.5-6.6.1. Problems: P6.2 Compute the oscillation frequency of a seven-stage ring oscillator using 0.18 micron technology. Does](https://reader030.vdocuments.mx/reader030/viewer/2022032800/56649d2d5503460f94a031a5/html5/thumbnails/18.jpg)
NAND2
NMOS in series PMOS in parallel
![Page 19: Logical Effort Section 6.5-6.6.1. Problems: P6.2 Compute the oscillation frequency of a seven-stage ring oscillator using 0.18 micron technology. Does](https://reader030.vdocuments.mx/reader030/viewer/2022032800/56649d2d5503460f94a031a5/html5/thumbnails/19.jpg)
NAND3
NMOS in series PMOS in parallel
![Page 20: Logical Effort Section 6.5-6.6.1. Problems: P6.2 Compute the oscillation frequency of a seven-stage ring oscillator using 0.18 micron technology. Does](https://reader030.vdocuments.mx/reader030/viewer/2022032800/56649d2d5503460f94a031a5/html5/thumbnails/20.jpg)
NAND4
![Page 21: Logical Effort Section 6.5-6.6.1. Problems: P6.2 Compute the oscillation frequency of a seven-stage ring oscillator using 0.18 micron technology. Does](https://reader030.vdocuments.mx/reader030/viewer/2022032800/56649d2d5503460f94a031a5/html5/thumbnails/21.jpg)
NOR2