Signal Processing

Signal processing calculators and formulas for transforms, filtering, sampling, and signal metrics. Covers the Fourier transform, Nyquist rate, and signal-to-noise ratio calculations.

10Formulas

All levels Difficulty

Updated Oct 2026

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Fundamental

Z-Transform

X(z) = Σ x[n]·z^(−n)

Fundamental

Bit Rate

R = 1 / T_b

Fundamental

Signal-to-Noise Ratio

SNR = P_signal / P_noise

Fundamental

Decibel (Voltage/Amplitude Ratio)

dB = 20·log₁₀(V₂/V₁)

Fundamental

Decibel (Power Ratio)

dB = 10·log₁₀(P₂/P₁)

Fundamental

Convolution

y(t) = x(t) * h(t)

Fundamental

Laplace Transform

X(s) = ∫x(t)·e^(−st) dt

Fundamental

Fourier Transform

X(f) = ∫x(t)·e^(−j2πft) dt

Fundamental

Nyquist Sampling Rate

f_s ≥ 2·f_max

Fundamental

Shannon's Channel Capacity

C = B·log₂(1 + S/N)