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  2. Impulse response - Wikipedia

    en.wikipedia.org/wiki/Impulse_response

    The impulse can be modeled as a Dirac delta function for continuous-time systems, or as the discrete unit sample function for discrete-time systems. The Dirac delta represents the limiting case of a pulse made very short in time while maintaining its area or integral (thus giving an infinitely high peak).

  3. Duhamel's integral - Wikipedia

    en.wikipedia.org/wiki/Duhamel's_integral

    If a system initially rests at its equilibrium position, from where it is acted upon by a unit-impulse at the instance t=0, i.e., p(t) in the equation above is a Dirac delta function δ(t), () = | = =, then by solving the differential equation one can get a fundamental solution (known as a unit-impulse response function)

  4. Dirac delta function - Wikipedia

    en.wikipedia.org/wiki/Dirac_delta_function

    The impulse response can be computed to any desired degree of accuracy by choosing a suitable approximation for δ, and once it is known, it characterizes the system completely. See LTI system theory § Impulse response and convolution. The inverse Fourier transform of the tempered distribution f(ξ) = 1 is the delta function.

  5. Shock (mechanics) - Wikipedia

    en.wikipedia.org/wiki/Shock_(mechanics)

    The unit g (or g) represents multiples of the standard acceleration of gravity and is conventionally used. A shock pulse can be characterised by its peak acceleration, the duration, and the shape of the shock pulse (half sine, triangular, trapezoidal, etc.). The shock response spectrum is a method for further evaluating a mechanical shock. [1]

  6. Ultrafast laser spectroscopy - Wikipedia

    en.wikipedia.org/wiki/Ultrafast_laser_spectroscopy

    This technique analyzes the time difference between the excitation of the sample molecule and the release of energy as another photon. Repeating this process many times will give a decay profile. Pulsed lasers or LEDs can be used as a source of excitation. Part of the light passes through the sample, the other to the electronics as "sync" signal.

  7. Linear response function - Wikipedia

    en.wikipedia.org/wiki/Linear_response_function

    The explicit term on the right-hand side is the leading order term of a Volterra expansion for the full nonlinear response. If the system in question is highly non-linear, higher order terms in the expansion, denoted by the dots, become important and the signal transducer cannot adequately be described just by its linear response function.

  8. Transient response - Wikipedia

    en.wikipedia.org/wiki/Transient_response

    Damped oscillation is a typical transient response, where the output value oscillates until finally reaching a steady-state value. In electrical engineering and mechanical engineering, a transient response is the response of a system to a change from an equilibrium or a steady state. The transient response is not necessarily tied to abrupt ...

  9. Shock response spectrum - Wikipedia

    en.wikipedia.org/wiki/Shock_response_spectrum

    A Shock Response Spectrum (SRS) [1] is a graphical representation of a shock, or any other transient acceleration input, in terms of how a Single Degree Of Freedom (SDOF) system (like a mass on a spring) would respond to that input. The horizontal axis shows the natural frequency of a hypothetical SDOF, and the vertical axis shows the peak ...