Sine Waves FFT Analysis

Interactive visualization of pure sinusoidal signals at multiple frequencies. Sine waves are the fundamental building blocks of signal analysis - they contain only the fundamental frequency with no harmonics.

〰️ Sine Waves

5Hz12Hz25Hz47Hz80Hz

Time domain: 5, 12, 25, 47, 80 Hz

About Sine Waves

Characteristics

• Purest waveform: Contains only the fundamental frequency
• FFT Spectrum: Shows a single sharp peak at the fundamental frequency
• No harmonics: Unlike square or triangle waves

Frequencies

This demo shows 5 different frequencies simultaneously:

• 5 Hz - Low frequency (cyan)
• 12 Hz - Low-mid frequency (orange)
• 25 Hz - Mid frequency (purple)
• 47 Hz - Mid-high frequency (green)
• 80 Hz - High frequency (pink)

Interference Pattern

When multiple sine waves are combined, they create complex interference patterns. The white dashed line shows the combined signal - the sum of all frequencies.

Filter Effects

Filter	Effect on Sine Wave	Use Case
Low Pass	Attenuates high frequencies	Noise reduction
High Pass	Attenuates low frequencies	Remove DC offset
Band Pass	Isolates specific frequencies	Signal extraction

Mathematical Definition

y(t) = A × sin(2πft + φ)

Where:

• A = Amplitude
• f = Frequency (Hz)
• t = Time (seconds)
• φ = Phase (radians)