Frequency_domain - Wikiparency

# Frequency domain  ## Microsims — p5.js ### Frequency domain (p5.js) · `X(f)` <div class="microsim-player"> <iframe src="https://editor.p5js.org/sciencenibber/full/_w1qVGYETu" width="100%" height="480" frameborder="0" loading="lazy" sandbox="allow-scripts allow-same-origin" title="Frequency domain — p5.js microsim"></iframe> </div> *The view where a signal is described by its frequency content rather than its shape in time.* **Open in the editor:** [▶ fork this sketch](https://editor.p5js.org/sciencenibber/sketches/_w1qVGYETu) · movement *II · Transforms & the frequency domain* · library `p5js` ### Related microsims Live sims on neighbouring articles — 6 of them inside this article's own Wikipedia link tree: - [[Autocorrelation]] *(in tree)* - [[Data_compression]] *(in tree)* - [[Digital_image_processing]] *(in tree)* - [[Digital_signal_processing]] *(in tree)* - [[Fourier_analysis]] *(in tree)* - [[Frequency_response]] *(in tree)* *Sim hosted off-article; the article owns the reference, not the runtime (WIKI_RULES §10.4). 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`Whittle_likelihood` · `Wilcoxon_signed-rank_test` · `Winsorizing` · `Z-test` · [[Z-transform]] > Signal Processing concept · part of the Signal Processing Portal · movement II · !31 変換 henkan.svg  !480 *Rendered from the live microsim (▶ motion).*   ## Images <figure class="wt-gifplate"> <img src="https://commons.wikimedia.org/wiki/Special:FilePath/Continuous_Fourier_transform_of_rect_and_sinc_functions.gif" alt="Rect-Sinc Duality" loading="lazy" decoding="async"> <figcaption><strong>Rect-Sinc Duality</strong> — Demonstrate the dual nature of rect and sinc functions.<br> <span class="wt-credit">Wikimedia Commons · <strong>licence pending verification</strong> (run <code>g17_gif_verify.py</code> on a networked lane) · <a href="https://commons.wikimedia.org/wiki/File:Continuous_Fourier_transform_of_rect_and_sinc_functions.gif">Details</a></span></figcaption> </figure> *Still companion to the 1 live microsim above: the sim is the instrument, the plate is the glance. §15 keeps the player first; this sits in the image slot on [[Frequency_domain]].*  ## See it next [![Fourier transform|200](Fourier_transform_thumb.png)](Fourier_transform) *→ Fourier transform*  --- Back to Signal Processing Portal · the room · Semiotic gateway ## What it is The frequency domain is a representation of a signal in terms of its frequency content — how much energy or amplitude occurs at each frequency — rather than as a function of time. It is the dual view to the time domain. ## How it works / why it matters A signal is moved between the two domains by the Fourier transform (and its discrete cousins the DFT/DTFT); the time-domain function and its frequency-domain spectrum contain exactly the same information. Working in the frequency domain turns convolution into multiplication, exposes periodicities and resonances, and makes filtering, modulation, and spectral analysis far easier to reason about. Each frequency component carries a magnitude and a phase. ## Signs & universals Instantiates: frequency, spectrum, signal, transformation. ## Related Fourier transform · Discrete Fourier transform · Discrete-time Fourier transform · Time-frequency analysis · Power spectral density · Digital filter · [[Sampling_(signal_processing)]]   *Built to the [[WT!P5_js_Microsim_Master_Class|p5.js Master Class]].*  ## Wikipedia : Wikitube **Strict pair:** [Wikipedia](https://en.wikipedia.org/wiki/Frequency_domain) : [Wikitube](https://en.wikitube.io/wiki/Frequency_domain) ## Previous hub tags Tree parents: [[Control_theory]] · [[Monte_Carlo_method]] · [[Reliability_engineering]]. Legacy hubs: none. --- *Sources: 1 legacy note. Minted wave 1, 2026-07-30 (v1.6 order).*