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A collection of thoughts, study notes, and some fragments of life, presented in the form of a personal website.

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Categories: 10
Posts: 169

High-Order Butterworth Filters, Time and Frequency Analysis

Jun 15, 2025

Continuous-Time Transfer Function For a second-order butterworth low-pass filter, it is given by

Qinhuai River, Fuzi Temple

Jun 7, 2025

Qinhuaihe River (秦淮河), Fuzi Temple (夫子庙), and stuff. It's the small things in life that people say, 人间烟火气, 最抚凡人心.

Impedance Change of Basis, Generalization

May 31, 2025

Motivation When designing Cartesian impedance controllers, one often wants to control w.r.t what reference frame the Cartesian impedance is applied. For example, the world frame, workpiece frame, or the robot TCP frame....

Random Weekend Trips

May 24, 2025

Fangshan Shidu (房山十渡), Tower Forest of Silver Mountains (银山塔林), Tiantan Park (天坛公园), Bulaotun Observatory (不老屯天文台), Moon River Night Market (月亮河夜市).

Nullspace Concepts, Robotics Applications, Implementation

May 17, 2025

Preface Nullspace is an important concept in Linear algebra and is widely used in robotics. This post discusses its concepts, applications in the control of redundant robots, and C++ implementation. For reference,...