Sept22Lecture - Lecture Hiran Tennakoon ECSN 3.104 Sizing...

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Lecture 09/22/2008 Hiran Tennakoon ECSN 3.104 Sizing of Inverter Chains Optimum beta ratio selection Optimum size ratio in chains driving large loads General Static CMOS Gates Layout issues
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Optimum Beta ratio Propagation times: ( 29 ( 29 - - + - = - - + - = 1 4 ln 2 1 4 ln 2 DD TP DD TP DD TP P PLH DD TN DD TN DD TN N PHL V V V V V V V V V V V V τ τ τ τ W P W N IN OUT C P C L V DD β = W P / W N = = L W C C L W C C P OX P OUT P N OX N OUT N μ τ μ τ
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Optimum Beta ratio (cont’d) ( 29 ( 29 - - + - + = - - + - + = + = 1 4 ln 2 1 4 ln 2 DD TP DD TP DD TP P OX P L P PLH DD TN DD TN DD TN N OX N L P PHL L P OUT V V V V V V L W C C C V V V V V V L W C C C C C C μ τ μ τ W P W N IN OUT C P C L V DD β = W P / W N
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Optimum Beta ratio (cont’d) ( 29 ( 29 - - + - + = - - + - + = + = 1 4 ln 2 1 4 ln 2 DD TP DD TP DD TP P OX P L P PLH DD TN DD TN DD TN N OX N L P PHL L P OUT V V V V V V L W C C C V V V V V V L W C C C C C C μ τ μ τ β = W P / W N W P W N IN OUT C P C L V DD
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Optimum Beta ratio (cont’d) + = + = P P L P PLH N N L P PHL W C C k W C C k μ τ μ τ β = W P / W N W P W N IN OUT C P C L V DD
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Optimum Beta ratio (cont’d) Both C IN and C P increase with size W Ratio of input capacitance and parasitic capacitance is a constant C P / C IN = K Gain: h = C L / C IN β = W P / W N C IN W P W N IN OUT C P C L V DD
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Optimum Beta ratio (cont’d) IN P IN L IN L KC C C h C C C h = = = β = W P / W N + = + = P P IN PLH N N IN PHL W K h C k W K h C k μ τ μ τ C IN W P W N IN OUT C P C L V DD
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