A student writes the drain flicker noise current of a MOS device as [latex] \left[K /\left(W L C_{o x} f\right)\right] g_m^2=\left[K /\left(W L C_{o x} f\right)\right] [/latex] [latex] \left(\sqrt{2 \mu_n C_{o x}(W / L) I_D}\right)^2=2 K \mu_n I_D /\left(L^2 f\right) [/latex], concluding that the flicker noise current is independent of W. Explain the flaw in this argument.

A fair comparison must keep both the overdrive and [latex]I_D[/latex] constant as W changes. (If we allow [latex]V_{GS} − V_{T H}[/latex] to change, then the drain voltage headroom also changes.). Thus, we can express the drain flicker noise current as [latex] \left[K /\left(W L C_{o x} f\right)\right]\left(4 I_D^2\right) /\left(V_{G S}-V_{T H}\right)^2 [/latex], which reveals that the noise current decreases as W L increases.

Question 7.18: A student writes the drain flicker noise current of a MOS de...

Design of Analog CMOS Integrated Circuits

A student writes the drain flicker noise current of a MOS device as $\left[K /\left(W L C_{o x} f\right)\right] g_m^2=\left[K /\left(W L C_{o x} f\right)\right]$ $\left(\sqrt{2 \mu_n C_{o x}(W / L) I_D}\right)^2=2 K \mu_n I_D /\left(L^2 f\right)$ , concluding that the flicker noise current is independent of W. Explain the flaw in this argument.

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