Signal Processing Visualizations

Signal Processing Visualizations

Signal Generator Fourier Transform Filter Effects

Signal Generator Controls

Wave Type: Sine Square Sawtooth Triangle

Frequency: 100 Hz

Amplitude: 0.50

Phase: 0.0 rad

Fourier Transform Controls

Wave Type: Sine Square Sawtooth Triangle Composite

Frequency 1: 100 Hz

Frequency 2: 200 Hz

FFT Resolution: 256 points 512 points 1024 points 2048 points

Filter Effects Controls

Filter Type: Low-pass High-pass Band-pass

Cutoff Frequency: 100 Hz

Q Factor: 1.0

Input Signal: Sine Square Noise Composite

Explanation

Signal Generator: This shows various types of waveforms in the time domain (left) and their frequency content (right).

Key observations:

• Sine waves show a single frequency component
• Square, sawtooth, and triangle waves contain harmonics at integer multiples of the fundamental frequency
• The amplitude slider changes the height of the waveform
• The phase shift moves the waveform left or right

Fourier Transform: This shows how signals can be decomposed into their frequency components using the Fast Fourier Transform (FFT).

Key observations:

• Pure sine waves show a single peak at their frequency
• Complex waveforms show multiple frequency components
• Square waves contain odd harmonics (3×, 5×, etc. the fundamental frequency)
• Higher FFT resolution shows more detail in the frequency domain

Filter Effects: This demonstrates how different filters affect signals in both time and frequency domains.

Key observations:

• Low-pass filters allow low frequencies to pass while attenuating high frequencies
• High-pass filters do the opposite, allowing high frequencies to pass
• Band-pass filters allow a range of frequencies to pass
• The Q factor controls how sharp the filter cutoff is