Theory AC analysis For example, \(v_{out} = v_{in}^2\), then [\begin{align} v_{out} &= (v_{in,DC} + \Delta v_{in})^2 &\approx v_{in,DC}^2 + 2 \cdot v_{in,DC} \cdot \Delta v_{in} \end{...

Fourier Series consider a periodic signal \(x(t)\) with period \(T_0\) [\begin{align} a_n &= \frac{1}{T_0} \int_{T_0} x(t) e^{-jn\omega_{0}t}dt x(t) &= \sum_{k=-\infty}^{\infty} a_k e^{jk...

2.1 Vos and Ib Input Offset Voltage changing supply voltage or common mode voltage will affect Vos. Vos is typically caused by mismatch between the differential input pair. the tail resist...

TI Precision Lab CppSim Lectures

In DC analysis, equilibrium points are calculated. It is important to understand that: Circuits sometimes have more than one DC solution. The DC solution computed by the citcuit simulator may ...

For a function \(\sin(\omega_0 t)\), it has Fourier Series [\sin(\omega_0 t) = \frac{1}{2j} e^{j\omega_0 t} - \frac{1}{2j}e^{-j\omega_0 t}] For such a function with zero order hold with frequency...

From Paper VCO Phase Noise and Benchmarking [\begin{align} FOM_{VCO} &= 10 \log \bigg(L_{VCO}(f_m) \cdot \frac{f_m^2}{f_{VCO}^2} \cdot \frac{P_{VCO}}{1mW}\bigg) L_{VCO}(f_m) &= \frac{10^{...

Spacemacs SPC w F # make-frame SPC w o # other-frame Install Program Locally without sudo Permission You need to compile these from source. It should just be a matter of apt-get source PACKAGE...

PLL Typical Architecture PLL Typical Architecture Type-I PLL The PLL using XOR as PD is an example of type-I PLL, since there is only one integrator (the VCO) in the loop. XOR is called PD s...

Write Good Code The idea of extracting functions needs practice. Here is another example. It multiply each elements in the list by n. (define (scale-list n l) (if (null? l) nil (con...