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    DSP Foundations

DSP Foundations

The math you need for signal processing.

Trigonometry

The language of oscillation 4 lessons
1
Sine & Cosine
The heartbeat of signal processing
4 min
2
Radians
Why degrees aren't enough
3 min
3
Frequency & Phase
Speed and starting point
4 min
4
Trig Identities You Actually Need
Just the useful ones
5 min

Complex Numbers

The power of two dimensions 3 lessons
5
Complex Numbers
Not complicated, just two-dimensional
4 min
6
Euler's Formula
The most beautiful equation in math
5 min
7
Complex Exponentials
Spinning in the complex plane
5 min

Signals

From math to signal processing 3 lessons
8
Sinusoidal Signals
The atoms of signal processing
4 min
9
Sum of Sinusoids
Building complex signals from simple ones
5 min
10
Sampling
From continuous to discrete
5 min

Calculus for DSP

Slope, area, and the inner product 5 lessons
11
Derivatives
Slope and rate of change
4 min
12
Finite Differences
The discrete derivative
4 min
13
Integrals
Area under the curve
4 min
14
Discrete Sums
The discrete integral
4 min
15
Inner Products & Orthogonality
The single most important operation in DSP
5 min

Systems & Convolution

What happens when signals pass through systems 3 lessons
16
Discrete-Time Signals
Sequences, shifts, and building blocks
4 min
17
LTI Systems
The machines that process signals
5 min
18
Convolution
The most important operation in DSP
5 min