Signal processing: Difference between revisions

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Continuous time: added some mathematical context on Continuous time signals
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[[Continuous signal|Continuous-time signal]] processing is for signals that vary with the change of continuous ___domain (without considering some individual interrupted points).
 
The methods of signal processing include [[time ___domain]], [[frequency ___domain]], and [[complex frequency|complex frequency ___domain]]. This technology mainly discusses the modeling of a [[linear time-invariant]] continuous system, integral of the system's zero-state response, setting up system function and the continuous time filtering of deterministic signals. For example, in time ___domain, a continuous-time signal <math>x(t)</math> passing through a [[linear time-invariant]] filter/system denoted as <math>h(t)</math>, can be expressed at the output as
 
<math>
y(t) = \int_{-\infty}^\infty h(\tau) x(t - \tau) \, d\tau
</math>
 
In some contexts, <math>h(t)</math> is referred to as the impulse response of the system. The above [[convolution]] operation is conducted between the input and the system.
 
===Discrete time===