〰️ Wave Equation, Fourier Transform & Laplace Transform Calculators
Travelling and standing waves, spectral analysis and transform methods. Fourier and Laplace tools show symbolic results together with numeric values.
No tools match your search.
- Wave Equation CalculatorTravelling wave y = A·sin(kx − ωt + φ): enter any two of frequency, wavelength and speed to get ω, k, period and the displacement and velocity at a point.
- Vibrating String CalculatorWave speed and harmonic frequencies of a string fixed at both ends (guitar, violin, piano).
- Air Column Resonance CalculatorResonant frequencies of open-open and closed-open pipes (flutes, organ pipes, tubes).
- Beat Frequency CalculatorBeat frequency and envelope of two superposed waves of slightly different frequencies.
- Discrete Fourier TransformCompute the DFT of a real sample sequence: magnitude, phase and frequency of every bin, and the dominant frequency.
- Fourier Series CalculatorFourier coefficients, partial sums and RMS value for square, triangle, sawtooth and rectified sine waves.
- Fourier Transform CalculatorFourier transform F(f) = ∫x(t)e^(−j2πft)dt of a Gaussian, rectangular pulse, triangle pulse or decaying exponential, evaluated at a frequency.
- Laplace Transform CalculatorLaplace transform F(s) of standard time functions with region of convergence, poles, and the numeric value at a complex s.
- Second-Order System CalculatorPoles, overshoot, rise time, settling time and bandwidth of a standard second-order system G(s) = Kωₙ²/(s² + 2ζωₙs + ωₙ²).