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Nov 10, 2020 · Complex isn't always complicated. While learning about digital signal processing (DSP), one thing that's been confusing me is talk about complex signals. Complex signals are complex in the mathematical sense, so they're composed of a real and imaginary part. Let's talk about what that means. Imagine a simple signal represented by a sinusoidal ...
Consider the periodic water wave in Figure 13.7.Its wavelength is the distance from crest to crest or from trough to trough. The wavelength can also be thought of as the distance a wave has traveled after one complete cycle—or one period.
Dec 28, 2020 · In symbols, the frequency f of something is the number n of oscillations in a unit of time t so: f=\frac {n} {t} f = tn. Frequencies are quoted as a number in Hertz (Hz), a unit named after German physicist Heinrich Hertz, and that can be expressed in base (SI) units as s −1 or “per second.”. The number of oscillations is just a number ...
In this picture, the red and blue sine waves both have the same frequency and period, but the blue one appears "slid" to the right by some amount. We describe this offset by the phase angle $\phi$. You may wonder what sense it makes to talk about an angle when we are looking at a horizontal offset, but remember what the sine function does.
- In the equation $y=\textrm{sin}(\omega t+ \phi)$ $\omega$ is the angular frequency of the oscillator, and $\phi$ is the phase angle. Let's start wi...
- If you remember transformation of functions, $\omega$ would stretch the sine function in the x-axis, and $\phi$ would transform (or move) the sine...
- Since the graph of sin function is identical to that of a sin wave, I know why the sine function is used in the wave equation The $y=\sin(\omega t)...
- I am going to elaborate good answers given above in layman terms. To understand waves, we should understand simple harmonic motion(SHM) first. It i...
For a wave, the speed is the distance traveled by a given point on the wave (such as a crest) in a given period of time. So while wave frequency refers to the number of cycles occurring per second, wave speed refers to the meters traveled per second. A wave can vibrate back and forth very frequently, yet have a small speed; and a wave can ...
Phase (waves) Plot of one cycle of a sinusoidal function. The phase for each argument value, relative to the start of the cycle, is shown at the bottom, in degrees from 0° to 360° and in radians from 0 to 2π. In physics and mathematics, the phase (symbol φ or ϕ) of a wave or other periodic function of some real variable (such as time) is ...
that mimics a signal, leaving a similar signature in thedetector.ItcouldcomefromaknownStandard Model process, or other sources. Note that what is considered a signal for one analysis could be a background for another. One of the main goals of a search or measurement is to increase the signal-to-background ratio.
