Signal Processing

Mar 19, 2025 Linear Algebra 28 min read

Essence of Linear Algebra (12): Sparse Matrices and Compressed Sensing — Less Is More

Sparsity is everywhere: JPEG photos, MRI scans, genomic data. Compressed sensing exploits this to recover signals from far fewer measurements than traditional theory requires. This chapter covers L1 regularization, …

Aug 21, 2023 ODE Foundations 26 min read

Ordinary Differential Equations (4): The Laplace Transform

The engineer's secret weapon: turn differential equations into algebra with the Laplace transform. Learn the key properties, partial fractions, transfer functions, and PID control basics.