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- First-order_hold abstract "The first-order hold (FOH) is a mathematical model of the practical reconstruction of sampled signals that could be done by a conventional digital-to-analog converter (DAC) and an analog circuit called an integrator. For the FOH, the signal is reconstructed as a piecewise linear approximation to the original signal that was sampled. A mathematical model such as the FOH (or, more commonly, the zero-order hold) is necessary because, in the sampling and reconstruction theorem, a sequence of dirac impulses, xs(t), representing the discrete samples, x(nT), is low-pass filtered to recover the original signal that was sampled, x(t). However, outputting a sequence of dirac impulses is decidedly impractical. Devices can be implemented, using a conventional DAC and some linear analog circuitry, to reconstruct the piecewise linear output for either the predictive or delayed FOH.Even though this is not what is physically done, an identical output can be generated by applying the hypothetical sequence of dirac impulses, xs(t), to a linear, time-invariant system, otherwise known as a linear filter with such characteristics (which, for an LTI system, are fully described by the impulse response) so that each input impulse results in the correct piecewise linear function in the output.".
- First-order_hold thumbnail Sampled.signal.svg?width=300.
- First-order_hold wikiPageExternalLink zero-order-hold-and-first-order-hold-based-interpolation.
- First-order_hold wikiPageID "5569055".
- First-order_hold wikiPageLength "9640".
- First-order_hold wikiPageOutDegree "58".
- First-order_hold wikiPageRevisionID "682389955".
- First-order_hold wikiPageWikiLink Acausal_system.
- First-order_hold wikiPageWikiLink Analog_circuit.
- First-order_hold wikiPageWikiLink Analogue_electronics.
- First-order_hold wikiPageWikiLink Anticausal_system.
- First-order_hold wikiPageWikiLink Bilinear_interpolation.
- First-order_hold wikiPageWikiLink Category:Control_theory.
- First-order_hold wikiPageWikiLink Category:Digital_signal_processing.
- First-order_hold wikiPageWikiLink Category:Electrical_engineering.
- First-order_hold wikiPageWikiLink Category:Signal_processing.
- First-order_hold wikiPageWikiLink Causal_system.
- First-order_hold wikiPageWikiLink Continuous_Fourier_transform.
- First-order_hold wikiPageWikiLink Digital-to-analog_converter.
- First-order_hold wikiPageWikiLink Digital_filter.
- First-order_hold wikiPageWikiLink Dirac_delta_function.
- First-order_hold wikiPageWikiLink Electronic_filter.
- First-order_hold wikiPageWikiLink Extrapolate.
- First-order_hold wikiPageWikiLink Extrapolation.
- First-order_hold wikiPageWikiLink Filter_(signal_processing).
- First-order_hold wikiPageWikiLink Fourier_transform.
- First-order_hold wikiPageWikiLink Impulse_response.
- First-order_hold wikiPageWikiLink Integrator.
- First-order_hold wikiPageWikiLink LTI_system.
- First-order_hold wikiPageWikiLink LTI_system_theory.
- First-order_hold wikiPageWikiLink Laplace_transform.
- First-order_hold wikiPageWikiLink Low-pass_filter.
- First-order_hold wikiPageWikiLink Nyquist–Shannon_sampling_theorem.
- First-order_hold wikiPageWikiLink Piecewise_linear_function.
- First-order_hold wikiPageWikiLink Rectangular_function.
- First-order_hold wikiPageWikiLink Sampling_(signal_processing).
- First-order_hold wikiPageWikiLink Sampling_frequency.
- First-order_hold wikiPageWikiLink Sinc_function.
- First-order_hold wikiPageWikiLink Transfer_function.
- First-order_hold wikiPageWikiLink Triangular_function.
- First-order_hold wikiPageWikiLink Zero-order_hold.
- First-order_hold wikiPageWikiLink File:Delayedfirstorderhold.impulseresponse.svg.
- First-order_hold wikiPageWikiLink File:Delayedfirstorderhold.signal.svg.
- First-order_hold wikiPageWikiLink File:Firstorderhold.impulseresponse.svg.
- First-order_hold wikiPageWikiLink File:Firstorderhold.signal.svg.
- First-order_hold wikiPageWikiLink File:Predictivefirstorderhold.impulseresponse.svg.
- First-order_hold wikiPageWikiLink File:Predictivefirstorderhold.signal.svg.
- First-order_hold wikiPageWikiLink File:Sampled.signal.svg.
- First-order_hold wikiPageWikiLinkText "First-order hold".
- First-order_hold wikiPageWikiLinkText "first-order hold".
- First-order_hold hasPhotoCollection First-order_hold.
- First-order_hold subject Category:Control_theory.
- First-order_hold subject Category:Digital_signal_processing.
- First-order_hold subject Category:Electrical_engineering.
- First-order_hold subject Category:Signal_processing.
- First-order_hold hypernym Model.
- First-order_hold type Person.
- First-order_hold type Algorithm.
- First-order_hold type Discipline.
- First-order_hold type Field.
- First-order_hold comment "The first-order hold (FOH) is a mathematical model of the practical reconstruction of sampled signals that could be done by a conventional digital-to-analog converter (DAC) and an analog circuit called an integrator. For the FOH, the signal is reconstructed as a piecewise linear approximation to the original signal that was sampled.".
- First-order_hold label "First-order hold".
- First-order_hold sameAs Ekstrapolator_rzędu_pierwszego.
- First-order_hold sameAs m.0ds_1c.
- First-order_hold sameAs Экстраполятор_первого_порядка.
- First-order_hold sameAs Q4530680.
- First-order_hold sameAs Q4530680.
- First-order_hold wasDerivedFrom First-order_hold?oldid=682389955.
- First-order_hold depiction Sampled.signal.svg.
- First-order_hold isPrimaryTopicOf First-order_hold.