P1 video lectures Textbook: S.M.kay, fundamental of statistical signal processing vol i ii, this book is easy to understand. S. Haykin: adaptive filter theory, fifth edition. Petre Stoica...

P1 independent [P(AB) = P(A) \cdot P(B)] conditional probability [P(B A) = P(AB)/P(A)] total probability formula if \(A_i \cap A_j = \emptyset\) and \(\bigcup\li...

BRIDGE-T CIRCUIT * VBIAS 1 0 12 R1 1 2 10 R2 2 0 10 R3 2 3 5 R4 1 3 5 * .OP .END ngspice source bridge.ckt listing op print v(1) print all quit by default the current flowing from the positiv...

Introduction AC Analysis For a total impedance \(Z(s)\) consists of \(R, L\) and \(C\), assume all the initial conditions of \(L\) and \(C\) are \(0\), then [V(s) = I(s)Z(s)] assume when \(t\ge...

Introduction What Are High Frequency Our familiar lumped circuit analysis is only an approximation, which is approximately valid when the circuit dimensions are less than \(\lambda/10\). ...

Coupling Effects Digital circuit capacitance and switching analysis for ground bounce in ICs with a high-ohmic substrate ISSCC 2024 Session 10: Frequency Synthesis 10.1 An 8.75GHz Fractiona...

Inductor Simulation using sp or psp simulation to simulate inductor, we calculate the Z parameter [\begin{bmatrix} V_1 V_2 \end{bmatrix}= \begin{bmatrix} Z_{11} & Z_{12} Z_{21} & Z_{22} ...

Basics Crystal Oscillator Resonant Frequency We want to calculate the resonant frequency of a crystal, including \(C_0, R_m, L_m, C_m\). We will first calculate the total impedance. Then by defi...

Papers A high-swing, high-impedance MOS cascode circuit regulated cascode (or RGC) achieves higher output impedance than simple cascode. RGC has larger output voltage range than optimally bi...

First-Order First-Degree ODE Useful Formulas Integrations [\begin{align} & \int x^n dx = \dfrac{x^{n+1}}{n+1} + C & \int \dfrac{1}{x} dx = \ln \vert x \vert + C & \int \frac{1}{x+a} ...