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Frequency response. 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. [1] The frequency response is widely used in the design and analysis of systems, such as audio and control systems, where they simplify mathematical ...
β = 0 , {\displaystyle \beta =0,} the Duffing equation describes a damped and driven simple harmonic oscillator, γ {\displaystyle \gamma } is the amplitude of the periodic driving force; if. γ = 0 {\displaystyle \gamma =0} the system is without a driving force, and. ω {\displaystyle \omega } is the angular frequency of the periodic driving ...
Mechanical resonance is the tendency of a mechanical system to respond at greater amplitude when the frequency of its oscillations matches the system's natural frequency of vibration (its resonance frequency or resonant frequency) closer than it does other frequencies. It may cause violent swaying motions and potentially catastrophic failure in ...
Definition. The Bode plot for a linear, time-invariant system with transfer function ( being the complex frequency in the Laplace domain) consists of a magnitude plot and a phase plot. The Bode magnitude plot is the graph of the function of frequency (with being the imaginary unit ). The -axis of the magnitude plot is logarithmic and the ...
The y-axis is the frequency response H(ω) and the x-axis are the various radian frequencies, ω i. It can be noted that the two frequences marked on the x-axis, ω p and ω s. ω p indicates the pass band cutoff frequency and ω s indicates the stop band cutoff frequency. The ripple like plot on the upper left is the pass band ripple and the ...
Without feedback the so-called open-loop gain in this example has a single-time-constant frequency response given by = + /, where f C is the cutoff or corner frequency of the amplifier: in this example f C = 10 4 Hz, and the gain at zero frequency A 0 = 10 5 V/V. The figure shows that the gain is flat out to the corner frequency and then drops.
Graphs illustrating the problem of image response in a superheterodyne. The horizontal axes are frequency and the vertical axes are voltage. Without an adequate RF filter, any radio signal S2 (green) from the antenna at the image frequency is also heterodyned to the IF frequency along with the desired radio signal S1 (blue) at , so they both pass through the IF filter (red).
The Rayleigh's quotient represents a quick method to estimate the natural frequency of a multi-degree-of-freedom vibration system, in which the mass and the stiffness matrices are known. The eigenvalue problem for a general system of the form. in absence of damping and external forces reduces to. The previous equation can be written also as the ...