Fourier XForm

Fourier Xform is an educational Fourier Transform and Fourier Series learning tool designed for iOS 17. Explore how time-domain signals map to frequency-domain spectra using interactive examples, clean derivations, and visual FFT results.

What you can do
• Learn core theory: Nyquist, windowing, spectral leakage, and frequency resolution
• Follow a textbook-style step-by-step derivation for rectangular (square) waves
• Type a natural sentence to define a square wave (frequency, duty cycle, sample rate, duration, harmonics)
• Compute an FFT spectrum with windowing options (Rectangular, Hann, Hamming)
• Compare theoretical harmonic amplitudes vs FFT measured results
• Tap spectrum markers (f₀, 3f₀, …) to see a detailed “Theory vs FFT” explanation
• Adjust settings for defaults and marker behavior

Designed for learning
Fourier Xform helps you build intuition, not just numbers. It explains common real-world effects such as finite-duration sampling, bin mismatch, leakage, and why windowing matters.

Notes
This app is for educational purposes. Results may differ from ideal formulas depending on sampling duration, window selection, and FFT bin alignment.