Retrieving "Frequency Components" from the archives

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1. Distortion

   Linked via "frequency components"

   Frequency Distortion (Frequency Response Irregularity)
   Frequency distortion occurs when different frequency components of a signal are attenuated or amplified unequally by the system. This results in a change in the relative spectral content of the signal. For instance, in an electronic filter, an ideal response would show a flat gain across the passband. Real-world sy…

2. Distortion

   Linked via "frequency components"

   Phase Distortion (Delay Distortion)
   Phase distortion, or delay distortion, occurs when the phase shift introduced by the system is not a linear function of frequency. Even if all frequency components arrive at the receiver with the same amplitude, if they arrive at different times (relative to each other), the waveform shape will be altered. This is particu…

3. Fourier Transform

   Linked via "frequency components"

   The primary utility of the FT lies in moving to the frequency domain to simplify analysis, particularly for Linear Time-Invariant (LTI) systems. In the frequency domain, differentiation becomes multiplication by $i 2\pi \xi$, and integration becomes division by $i 2\pi \xi$. This spectral simplicity is critical for designing filters.
   [Filtering](/entries/…