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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 wikiPageRevisionID "595155673".
- 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 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 "Ekstrapolator rzędu pierwszego".
- First-order_hold label "First-order hold".
- First-order_hold label "Экстраполятор первого порядка".
- First-order_hold sameAs Ekstrapolator_rzędu_pierwszego.
- First-order_hold sameAs m.0ds_1c.
- First-order_hold sameAs Q4530680.
- First-order_hold sameAs Q4530680.
- First-order_hold wasDerivedFrom First-order_hold?oldid=595155673.
- First-order_hold depiction Sampled.signal.svg.
- First-order_hold isPrimaryTopicOf First-order_hold.
