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Unless θ (t) is a constant, the point in time t s at which the phase is stationary will vary according to the instantaneous frequency ω s. Expressing the difference between ( ω s - ω 0 ).t and θ (t) as a Taylor series about the time t s , but discarding all but the first three terms (of which the second term is zero, here), the Fourier ...
An RF sweep relates to a receiver which changes its frequency of operation continuously from a minimum frequency to a maximum (or from maximum to minimum). Usually the sweep is performed at a fixed, controllable rate, for example 5 MHz/sec. Some systems use frequency hopping, switching from one frequency of operation to another.
where ω > 0. = (+), = +.In this simple sinusoidal example, the constant θ is also commonly referred to as phase or phase offset.φ(t) is a function of time; θ is not. In the next example, we also see that the phase offset of a real-valued sinusoid is ambiguous unless a reference (sin or cos) is specified.
A sweep generator is a piece of electronic test equipment similar to, and sometimes included on, a function generator which creates an electrical waveform with a linearly varying frequency and a constant amplitude. Sweep generators are commonly used to test the frequency response of electronic filter circuits.
The yield strength or yield stress is a material property and is the stress corresponding to the yield point at which the material begins to deform plastically. The yield strength is often used to determine the maximum allowable load in a mechanical component, since it represents the upper limit to forces that can be applied without producing ...
To correct a straight-line amplitude plot: At every zero, put a point above the line. At every pole, put a point below the line. Draw a smooth curve through those points using the straight lines as asymptotes (lines which the curve approaches).
is the amplitude of the periodic driving force; if = the system is without a driving force, and ω {\displaystyle \omega } is the angular frequency of the periodic driving force. The Duffing equation can be seen as describing the oscillations of a mass attached to a nonlinear spring and a linear damper.
The display of a spectrum analyzer has frequency displayed on the horizontal axis and the amplitude on the vertical axis. To the casual observer, a spectrum analyzer looks like an oscilloscope, which plots amplitude on the vertical axis but time on the horizontal axis. In fact, some lab instruments can function either as an oscilloscope or a ...