# Time domain <!-- MICROSIMGEN:BEGIN v1.7 — generated by g08_place_microsims.py; three.js first (§15); do not hand-edit inside --> ## Microsims — p5.js ### Time domain (p5.js) · `x(t)` <div class="microsim-player"> <iframe src="https://editor.p5js.org/sciencenibber/full/_VT_JKFNr" width="100%" height="480" frameborder="0" loading="lazy" sandbox="allow-scripts allow-same-origin" title="Time domain — p5.js microsim"></iframe> </div> *The view where a signal is described by how it changes moment to moment.* **Open in the editor:** [&#9654; fork this sketch](https://editor.p5js.org/sciencenibber/sketches/_VT_JKFNr) · movement *IX · Foundations & the rest of the toolbox* · library `p5js` ### Related microsims Live sims on neighbouring articles — 6 of them inside this article's own Wikipedia link tree: - [[Autocorrelation]] *(in tree)* - [[Discrete_time_and_continuous_time]] *(in tree)* - [[Fourier_analysis]] *(in tree)* - [[Frequency_domain]] *(in tree)* - [[Laplace_transform]] *(in tree)* - [[Least-squares_spectral_analysis]] *(in tree)* *Sim hosted off-article; the article owns the reference, not the runtime (WIKI_RULES §10.4). Placed by `g08_place_microsims.py`.* <!-- MICROSIMGEN:END --> ## Links (Wikipedia order) <!-- injected from _registry/childlinks/Time_domain.json (2026-07-30T02:09:12Z) --> `Accelerated_failure_time_model` · `Actuarial_science` · `Akaike_information_criterion` · `Analysis_of_covariance` · `Analysis_of_variance` · `Anderson–Darling_test` · `Anscombe_transform` · `Arithmetic_mean` · `Arithmetic–geometric_mean` · `Asymptotic_theory_(statistics)` · [[Autocorrelation]] · `Autoregressive_conditional_heteroskedasticity` · `Autoregressive_model` · `Average_absolute_deviation` · [[Bar_chart]] · `Bayes_estimator` · `Bayes_factor` · `Bayesian_inference` · `Bayesian_information_criterion` · `Bayesian_linear_regression` · `Bayesian_probability` · `Bias_of_an_estimator` · `Binomial_regression` · [[Bioinformatics]] · `Biostatistics` · `Biplot` · `Blackman–Tukey_transformation` · `Blocking_(statistics)` · `Bootstrapping_(statistics)` · [[Box_plot]] · `Box–Jenkins_method` · `Breusch–Godfrey_test` · `Canonical_correlation` · `Cartography` · `Categorical_variable` · `Census` · `Central_limit_theorem` · `Chemometrics` · `Chi-squared_test` · `Clinical_study_design` · `Clinical_trial` · `Cluster_analysis` · `Cluster_sampling` · `Cochran–Mantel–Haenszel_statistics` · `Coefficient_of_determination` · `Coefficient_of_variation` · `Cohen's_kappa` · `Cohort_study` · `Cointegration` · `Completeness_(statistics)` · `Confidence_interval` · `Confounding` · `Contingency_table` · `Contraharmonic_mean` · `Control_chart` · `Correlogram` · `Count_data` · `Credible_interval` · `Crime_statistics` · `Cross-correlation` · `Cross-sectional_study` · `Cross-validation_(statistics)` · `Cubic_mean` · `Data_collection` · `Data_preprocessing` · `Data_transformation_(statistics)` · `Decomposition_of_time_series` · `Degrees_of_freedom_(statistics)` · `Demographic_statistics` · `Density_estimation` · `Descriptive_statistics` · `Design_of_experiments` · `Dickey–Fuller_test` · `Dimensionality_reduction` · [[Discrete_time_and_continuous_time]] · `Divergence_(statistics)` · `Durbin–Watson_statistic` · `Econometrics` · `Economics` · `Effect_size` · `Efficiency_(statistics)` · `Elliptical_distribution` · `Empirical_distribution_function` · `Engineering_statistics` · `Environmental_statistics` · `Epidemiology` · `Errors_and_residuals` · `Estimating_equations` · `Experiment` · `Exponential_family` · `Exponential_smoothing` · `F-test` · `Factor_analysis` · `Factorial_experiment` · `Failure_rate` · `Fan_chart_(statistics)` · `Feature_scaling` · `First-hitting-time_model` · `Fisher_transformation` · `Forest_plot` · [[Fourier_analysis]] · `Fourier_transform` · [[Frequency_domain]] · `Frequentist_inference` · `Friedman_test` · `Function_(mathematics)` · `G-test` · `General_linear_model` · `Generalized_linear_model` · `Generalized_mean` · `Geographic_information_system` · `Geometric_mean` · `Geostatistics` · `Goodness_of_fit` · `Granger_causality` · `Graphical_model` · `Grouped_data` · `Harmonic_mean` · `Heinz_mean` · `Heronian_mean` · `Hertz` · [[Histogram]] · `Hodges–Lehmann_estimator` · `Homoscedasticity_and_heteroscedasticity` · `Index_of_dispersion` · `Interaction_(statistics)` · `Interquartile_range` · `Interval_estimation` · `Isotonic_regression` · `Jackknife_resampling` · `Jarque–Bera_test` · `Johansen_test` · `Jonckheere's_trend_test` · `Jurimetrics` · `Kaplan–Meier_estimator` · `Kendall_rank_correlation_coefficient` · `Kolmogorov–Smirnov_test` · `Kriging` · `Kruskal–Wallis_test` · `Kurtosis` · `L-moment` · [[Laplace_transform]] · [[Least-squares_spectral_analysis]] · `Lehmann–Scheffé_theorem` · `Lehmer_mean` · `Likelihood-ratio_test` · `Likelihood_function` · `Lilliefors_test` · [[Line_chart]] · `Linear_discriminant_analysis` · `Linear_regression` · `List_of_fields_of_application_of_statistics` · `List_of_statistical_tests` · `List_of_statistics_articles` · `Ljung–Box_test` · `Location_parameter` · `Location–scale_family` · `Logistic_regression` · `Loss_function` · `Lp_space` · `M-estimator` · `Mann–Whitney_U_test` · `Mathematics` · `Maximum_a_posteriori_estimation` · `McNemar's_test` · `Median` · `Medical_statistics` · `Method_of_moments_(statistics)` · `Methods_engineering` · `Minimum-variance_unbiased_estimator` · `Missing_data` · `Mixed_model` · `Mode_(statistics)` · `Model_selection` · `Moment_(mathematics)` · `Monotone_likelihood_ratio` · `Multivariate_analysis_of_variance` · `Multivariate_normal_distribution` · `Multivariate_statistics` · `National_accounts` · `Natural_experiment` · `Nelson–Aalen_estimator` · `Nonlinear_regression` · `Nonparametric_regression` · `Nonparametric_statistics` · `Normalization_(statistics)` · `Observational_study` · `Official_statistics` · `One-_and_two-tailed_tests` · `Opinion_poll` · `Optimal_decision` · `Order_statistic` · `Ordinary_least_squares` · `Oscilloscope` · `Outlier` · `Outline_of_statistics` · `Parametric_statistics` · `Partial_autocorrelation_function` · `Partial_correlation` · `Partition_of_sums_of_squares` · `Pearson_correlation_coefficient` · `Percentile` · `Permutation_test` · `Pie_chart` · `Pivotal_quantity` · `Point_estimation` · `Poisson_regression` · `Position_(geometry)` · `Posterior_probability` · `Power_(statistics)` · `Power_transform` · `Prediction_interval` · `Principal_component_analysis` · `Prior_probability` · `Probabilistic_design` · `Probability_distribution` · `Proportional_hazards_model` · `Psychometrics` · `Quality_control` · `Quasi-experiment` · `Questionnaire` · `Q–Q_plot` · `Radar_chart` · `Random_assignment` · `Randomized_controlled_trial` · `Randomized_experiment` · `Range_(statistics)` · `Rank_correlation` · `Ranking_(statistics)` · `Rao–Blackwell_theorem` · `Real_number` · `Regression_analysis` · `Regression_validation` · [[Reliability_engineering]] · `Replication_(statistics)` · `Resampling_(statistics)` · `Robust_regression` · `Robust_statistics` · `Run_chart` · `Sample_size_determination` · `Sampling_(statistics)` · `Sampling_distribution` · `Scale_parameter` · [[Scatter_plot]] · `Scientific_control` · `Score_test` · `Seasonal_adjustment` · `Second` · `Semiparametric_regression` · `Shape_parameter` · `Shapiro–Wilk_test` · `Sign_test` · [[Signal_processing]] · `Simple_linear_regression` · `Simultaneous_equations_model` · `Skewness` · `Social_statistics` · `Space` · `Spatial_analysis` · `Spatial_frequency` · `Spearman's_rank_correlation_coefficient` · `Spectral_density_estimation` · `Standard_deviation` · `Standard_error` · `Standard_score` · `Stationary_process` · `Statistic` · `Statistical_classification` · `Statistical_dispersion` · `Statistical_distance` · `Statistical_graphics` · `Statistical_hypothesis_test` · `Statistical_inference` · `Statistical_model` · `Statistical_parameter` · `Statistical_population` · `Statistical_process_control` · `Statistical_theory` · `Statistics` · `Stem-and-leaf_display` · `Stochastic_approximation` · `Stratified_sampling` · `Structural_break` · `Structural_equation_modeling` · `Student's_t-test` · `Sufficient_statistic` · `Survey_methodology` · `Survival_analysis` · `Survival_function` · [[System_identification]] · `Time_in_physics` · [[Time_series]] · `Tolerance_interval` · `Truncation_(statistics)` · `U-statistic` · `Uniformly_most_powerful_test` · `Unit_of_measurement` · `V-statistic` · `Van_der_Waerden_test` · `Variance` · `Variance-stabilizing_transformation` · `Vector_autoregression` · `Violin_plot` · `Wald_test` · `Wavelet` · `Whittle_likelihood` · `Wilcoxon_signed-rank_test` · `Winsorizing` · `Z-test` > Signal Processing concept · part of the Signal Processing Portal · movement IX · !09 解析 kaiseki.svg <!-- RENDER-THUMB:START --> !480 *Rendered from the live microsim (▶ motion).* <!-- RENDER-THUMB:END --> ## See it next [![Discrete Fourier transform|200](Discrete_Fourier_transform_thumb.png)](Discrete_Fourier_transform) *→ Discrete Fourier transform* <!-- VISUAL-LINK:END --> --- Back to Signal Processing Portal · the room · Semiotic gateway ## What it is The time domain is the representation of a signal or system as a function of time, describing how its value or amplitude varies from one instant to the next. ## How it works / why it matters In the time domain a signal is plotted as amplitude versus time, and system behavior is captured by responses such as the impulse response or step response. It is the dual of the frequency domain: the Fourier transform maps a time-domain signal to its frequency-domain spectrum and back. Many operations are more intuitive in time (delay, convolution with an impulse response) while others are simpler in frequency, so choosing the domain is a central strategy in analysis and filter design. ## Signs & universals Instantiates: signal · transformation · system — the time-based view of signals and systems, dual to frequency via a transform. ## Related It is the counterpart of the frequency domain reached by the Discrete Fourier transform, and in it filtering appears as [[Convolution]] with a system's impulse response. Time-domain signals may be Continuous-time signal or Discrete-time signal, characterize a [[Linear_time-invariant_system]], and are the natural setting for waveform analysis in Signal Processing. <!-- VISUAL-LINK:START --> <!-- CRAFT-LINK:START g12 --> *Built to the [[WT!P5_js_Microsim_Master_Class|p5.js Master Class]].* <!-- CRAFT-LINK:END --> ## Wikipedia : Wikitube **Strict pair:** [Wikipedia](https://en.wikipedia.org/wiki/Time_domain) : [Wikitube](https://en.wikitube.io/wiki/Time_domain) ## Previous hub tags Tree parents: [[Monte_Carlo_method]] · [[Reliability_engineering]]. Legacy hubs: none. --- *Sources: 1 legacy note. Minted wave 1, 2026-07-30 (v1.6 order).*