Search results
Results From The WOW.Com Content Network
In signal processing and electronics, the frequency response of a system is the quantitative measure of the magnitude and phase of the output as a function of input frequency. The frequency response is widely used in the design and analysis of systems, such as audio and control systems , where they simplify mathematical analysis by converting ...
In electrical engineering and control theory, a Bode plot / ˈ b oʊ d i / is a graph of the frequency response of a system. It is usually a combination of a Bode magnitude plot, expressing the magnitude (usually in decibels) of the frequency response, and a Bode phase plot, expressing the phase shift.
The ultimate end goal is to meet requirements typically provided in the time-domain called the step response, or at times in the frequency domain called the open-loop response. The step response characteristics applied in a specification are typically percent overshoot, settling time, etc.
In physics and engineering, the time constant, usually denoted by the Greek letter τ (tau), is the parameter characterizing the response to a step input of a first-order, linear time-invariant (LTI) system. The time constant is the main characteristic unit of a first-order LTI system.
Bandwidth (signal processing) Amplitude (a) vs. frequency (f) graph illustrating baseband bandwidth. Here the bandwidth equals the upper frequency. Bandwidth is the difference between the upper and lower frequencies in a continuous band of frequencies. It is typically measured in unit of hertz (symbol Hz).
Using the natural frequency of a harmonic oscillator = / and the definition of the damping ratio above, we can rewrite this as: d 2 x d t 2 + 2 ζ ω n d x d t + ω n 2 x = 0. {\displaystyle {\frac {d^{2}x}{dt^{2}}}+2\zeta \omega _{n}{\frac {dx}{dt}}+\omega _{n}^{2}x=0.}
ω 0 = k / m {\textstyle \omega _ {0}= {\sqrt {k/m}}} is called the undamped angular frequency of the oscillator or the natural frequency, ζ = c 2 m k {\displaystyle \zeta = {\frac {c} {2 {\sqrt {mk}}}}} is called the damping ratio. Many sources also refer to ω0 as the resonant frequency.
A response spectrum is a plot of the peak or steady-state response (displacement, velocity or acceleration) of a series of oscillators of varying natural frequency, that are forced into motion by the same base vibration or shock.
The frequency response function (FRF) of any linear dynamic system composed of many coupled components will in general display distinctive resonance-antiresonance behavior when driven. [3] As a rule of thumb, it can be stated that as the distance between the driven component and the measured component increases, the number of antiresonances in ...
The frequency response can be classified into a number of different bandforms describing which frequency bands the filter passes (the passband) and which it rejects (the stopband): Low-pass filter – low frequencies are passed, high frequencies are attenuated.