Convolution Demonstrator | Signal Processing Tool

Convolution Demonstrator

Animate sliding, flipping, and integrating two signals

The convolution of two functions \( f \) and \( g \) is defined as:

\[ (f * g)(t) = \int_{-\infty}^{\infty} f(\tau)g(t – \tau) \,d\tau \]

Language:

Function f(τ):

Function g(τ):

t value: 0.00

Show steps Show product f(τ)g(t-τ) Show integral area

Result

Convolution value at t = 0.00:

0.00

How to Use Interactive Convolution Calculator

“Learn signal processing visually with our Convolution Demonstrator:

SELECT two functions (rectangular, triangular, sine wave, or custom)
ADJUST the t-value slider to control signal alignment
WATCH the animation of flipping/sliding integration
ANALYZE the product function and integral area
VIEW real-time convolution results
DOWNLOAD graphs for educational use
TOGGLE options to show/hide calculation steps
Perfect for engineering students, DSP professionals, and math educators to understand this fundamental Fourier transform concept.”

Animation demonstrating signal convolution process step-by-step — Real-time visualization of (f∗g)(t)=∫f(τ)g(t−τ)dτ convolution process

FAQs: Interactive Convolution Calculator

Q: What is convolution in signal processing?
A: Convolution measures how the shape of one function is modified by another, fundamental to filters and Fourier analysis.

Q: How does this visualization help learners?
A: Our animation shows the flip-slide-multiply-integrate process that static textbooks can’t demonstrate.

Q: What’s the difference between convolution and multiplication?
A: Multiplication combines instantaneous values, while convolution accounts for time-based interactions between signals.

Q: Can I use this for my digital signal processing class?
A: Yes! Educators can generate visual examples for lectures or student assignments.

Q: Why does my convolution result look strange?
A: Some function combinations (like high-frequency sines) produce complex outputs – try simpler functions first.

Q: Is there mobile support?
A: Fully responsive design works on all devices, though larger screens show more detail.

Q: What mathematical methods power the calculations?
A: We use numerical integration (trapezoidal rule) with 100+ precision steps for accuracy.