DFT componente k=1 (mag)

The DFT k=1 component (magnitude) calculator computes the amplitude of the first Fourier component in a frequency spectrum. This component represents the fundamental frequency of a sampled signal. The formula used is |Σx·e^(-j2πkn/N)|, where N is the sample count, n is the index, and k=1 corresponds to the first harmonic. This tool is useful for signal analysis in engineering, audio processing, and periodic wave studies.

To use the calculator, input the time-domain sequence (samples), and it will return the magnitude of the k=1 component. The formula weights each sample by a complex exponential factor corresponding to the frequency of interest. The output is the absolute value of this sum, indicating the strength of the fundamental frequency in the signal. The result is given in relative amplitude units compared to the original signal.

This tool is ideal for scenarios focusing on the lowest frequency (fundamental) such as sensor testing, noise filtering, or mechanical vibration analysis. Note that this calculator provides only the magnitude, not the phase of the component. For full frequency spectra, use DFT/FFT calculators that process all components (k=0, 1, ..., N-1).