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An interactive web application for visualizing and understanding different modulation techniques in communication systems. This project demonstrates both analog and digital modulation schemes with interactive time-domain and frequency-domain visualizations.
- Analog Modulation Techniques :
- Amplitude Modulation (AM)
- Frequency Modulation (FM)
- Phase Modulation (PM)
- And so on...
- Interactive Visualizations :
- Time-domain signal representation
- Frequency-domain (FFT) analysis
- Modulation and demodulation process visualization
- Theoretical explanations with mathematical formulas
- React : Frontend framework for building the user interface
- Vite : Next-generation frontend tooling for faster development
- Plotly.js : For interactive and responsive data visualization
- KaTeX : For rendering mathematical equations
- Tailwind CSS : For styling the application
- FFT.js : For computing Fast Fourier Transforms
This project extensively uses the stdlib.js library for mathematical operations and signal processing:
@stdlib/array/linspace: Creates evenly spaced arrays for time domain representation@stdlib/array/float64: Creates typed arrays for efficient signal processing@stdlib/math/base/special/sin: Computes sine values for generating message and carrier signals@stdlib/math/base/special/cos: Computes cosine values for carrier signals@stdlib/math/base/special/abs: Calculates absolute values for signal rectification in demodulation@stdlib/math/base/special/exp: Computes exponential functions for filter coefficient calculations@stdlib/math/base/special/sqrt: Calculates square roots for Butterworth filter design@stdlib/math/base/utils/absolute-difference: Computes absolute differences between consecutive samples@stdlib/constants/float64/two-pi: Provides the 2π constant for frequency calculations@stdlib/stat/incr/mmean: Implements moving mean for envelope detection and DC removal@stdlib/utils/map: Maps functions over arrays for signal generation
The AM modulation implementation uses a sinusoidal message signal modulated onto a carrier with configurable modulation index. The demodulation process uses half-wave rectification followed by envelope detection with a moving mean and a 2nd-order Butterworth filter.
The FM modulation varies the frequency of the carrier signal proportionally to the message signal. The implementation includes integration of the message signal to calculate phase deviation. Demodulation uses differentiation, bandpass filtering, and moving mean for envelope detection.
- Modulation parameters (carrier frequency, message frequency, modulation index) are configurable
- Sampling rate and duration are optimized for clear visualization
- FFT analysis shows the frequency spectrum with appropriate scaling