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math.fourier-transform-freq-domain Calculator
Analyses the frequency domain of a sampled signal by calculating frequency resolution and Nyquist limit from sample rate and record length. The Nyquist theorem states that the maximum unambiguously representable frequency is half the sampling rate — aliasing occurs above it.
Inputs
Signal Frequency Hz
Cycles per second (Hz). Audible sound: 20 Hz – 20 kHz. Make sure units match what the formula expects.
Sampling Frequency Hz
Cycles per second (Hz). Audible sound: 20 Hz – 20 kHz. Make sure units match what the formula expects.
Num Samples
Count of items or occurrences.
Amplitude
Maximum displacement from equilibrium. Energy carried by a wave is proportional to amplitude squared.
Results
frequency resolution (Hz)
Sample size or count used in the calculation.
Nyquist frequency (Hz)
Sample size or count used in the calculation.
signal bin index k
The meaningful information component, separated from noise.
aliasing?
Sample size or count used in the calculation.
DFT frequency for bin k
Sample size or count used in the calculation.
spectral leakage
Reference formula or conversion factor shown for context.