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Passive filters - RC low pass filtering networks

Sometimes signals need to be filtered to remove high-frequency contributions. An overview on passive filters, with calculations and magnitude/phase plots.

Author: Vanadium - Last modified: 2021-08-25

Transmission lines - Part I: Introduction

How noise affects traces and planes on a PCB? How can very high-speed signals be used to transmit data? Which is the theory behind high-frequency design in communication systems? Transmission line is the answer to those questions!

Author: Vanadium - Last modified: 2021-08-28

Transmission lines - Part II: The telegraphists' equations

The whole transmission lines theory begins with the study of the telegraphists' equations, based on the RLC model

Author: Vanadium - Last modified: 2021-08-28

Transmission lines - Part IV: Time domain

Usually, transmission lines are analysed in the frequency domain but, in some cases, it could be useful to do some calculation in the time domain. Let's see how this type of analysis is done.

Author: Vanadium - Last modified: 2021-08-28

Transmission lines - Part V: Impedances

As we already introduced, impedance changes along a transmission line. Let's find a way to calculate it at every section of a transmission line!

Author: Vanadium - Last modified: 2021-08-29

Transmission lines - Part VI: Smith chart

Smith's chart is a useful graphic tool to visually calculate the impedance and the reflection coefficient at any point of the transmission line

Author: Vanadium - Last modified: 2021-08-29

Trigonometry and prosthaphaeresis rules

A ready-to-use set of trigonometry and prosthaphaeresis rules

Author: Vanadium - Last modified: 2024-06-16

Linear regulators - Part II

Here, the simplest linear regulator is presented to start the analysis of such a type of device

Author: Vanadium - Last modified: 2023-01-08

Integrals

A ready-to-use page about integrals rules, properties and notable cases

Author: Vanadium - Last modified: 2024-06-15

Introduction to EMC: Attenuators

What is an attenuator? Nothing really complicated but something that deserves our attention when working with EMI receivers

Author: Vanadium - Last modified: 2023-02-01

Electromagnetism

Electromagnetism basic laws and useful formulas

Author: Vanadium - Last modified: 2024-04-13

Buck converter - CCM and DCM

Analysis of the main parameters affecting the operating mode of a buck converter

Author: Vanadium - Last modified: 2023-06-02

Buck converter - CCM power dissipation

Power dissipation calculations for a buck operating in CCM

Author: Vanadium - Last modified: 2023-06-02

Boost converter - CCM and DCM

Boost converter CCM and DCM analysis

Author: Vanadium - Last modified: 2023-06-02

Buck converter - Voltage mode AC model

AC small signal model for a generic buck regulator controlled in voltage mode (VMC)

Author: Vanadium - Last modified: 2023-06-02

Buck converter - Current mode AC model

AC small signal model for a generic buck regulator controlled in current mode (CMC)

Author: Vanadium - Last modified: 2023-06-02

Transmission lines - Part III: Reflection coefficient

Which are the main TL properties and what is the reflection coefficient

Author: Vanadium - Last modified: 2024-01-01

Transmission lines - Part VIII: T and VSWR

What are T and VSWR and why they are so important

Author: Vanadium - Last modified: 2024-01-02

Electricity

A ready-to-use cheat sheet with methods and formulas to solve electrical circuit

Author: Vanadium - Last modified: 2024-01-03

Transformer model

Linear model of a transformer, with analysis of parasitic elements

Author: Vanadium - Last modified: 2024-01-04

Magnetism

Useful formulas and theoretical compendium for magnetic problems

Author: Vanadium - Last modified: 2024-01-05

Static timing analysis

What is STA and how it is automatically performed by EDA tools

Author: Vanadium - Last modified: 2024-01-11

Operational amplifiers: common configurations

A quick overview of the most used operational amplifier configurations, without considering non-idealities and other apparently superfluous aspects. All equations and figures shown here refer to the ideal op-amp model!

Author: Vanadium - Last modified: 2024-01-26

Electrical conductivity

Electrical conductivity of some common elements and compounds

Author: Vanadium - Last modified: 2024-02-03

AWG table

AWG (American Wire Gauge) values, from 0000AWG to 50AWG

Author: Vanadium - Last modified: 2024-02-03

Derivatives

A ready-to-use page about derivatives rules, properties and notable cases

Author: Vanadium - Last modified: 2024-04-14

Inverters output power

3-phase 2-levels inverter model and power calculations

Author: Vanadium - Last modified: 2025-04-08

Most relevant articles

Transformer model

Linear model of a transformer, with analysis of parasitic elements

Author: Vanadium

Integrals

A ready-to-use page about integrals rules, properties and notable cases

Author: Vanadium

Transmission lines - Part IV: Time domain

Usually, transmission lines are analysed in the frequency domain but, in some cases, it could be useful to do some calculation in the time domain. Let's see how this type of analysis is done.

Author: Vanadium

VHDL simulation

How to run a test-bench simulation with GHDL and analyse signals through GTKwave

Author: Vanadium

RMS values

RMS values - also known as quadratic mean - calculated for different type of periodic waveform

Author: Vanadium

Magnetism

Useful formulas and theoretical compendium for magnetic problems

Author: Vanadium

Informatics

In an age dominated by digital technologies and rapid information exchange, the field of informatics stands as a cornerstone, weaving a tapestry that connects computing, data, and human interaction.

Author: Vanadium

Transmission lines - Part IX: Examples

Some numerical example for transmission lines

Author: Vanadium

Laplace transform tables

A ready-to-use table of Laplace transforms, with properties and notable cases

Author: Vanadium

Capacitors Q factor

What is the Q factor of a capacitor and why it should be considered during early design stages

Author: Vanadium

Transmission lines - Part I: Introduction

How noise affects traces and planes on a PCB? How can very high-speed signals be used to transmit data? Which is the theory behind high-frequency design in communication systems? Transmission line is the answer to those questions!

Author: Vanadium

LTSpice from command line

How to run LTSpice in batch mode and automate simulations and post-processing

Author: Vanadium