Amplitude and phase relationship

Wavelength, Frequency, Amplitude and phase - defining Waves ! - Techplayon The wirelesssguru goes back to the basics -- RF -- the building blocks of WiFi!. Phase, Frequency, Amplitude, and all that. and the phase shift, $\phi$. (1) Explain why this relationship must hold between the constants $A, B, C$. initial phase (radians) The instantaneous amplitude of x is the value of Figure 2: Phase relationship between cosine and sine functions.

In this function, is a variable. The other quantities are in general fixed, and each of them influences the shape of the graph of this function. Let us explore how the shape of the graph of changes as we change its three parameters called the Amplitude,the frequency, and the phase shift. You can drag the nodes to see what happens as each of these three quantities are varied. You have probably noticed that the amplitude governs the heights of the peaks, the frequency governs their spacing, i.

Let us first consider the shape of the function Since our original function, is a periodic function that goes through one complete cycle whenthe function will go through a complete cycle wheni. We say that it has a period which we will denote by given by The height of the peaks and valleys in this function will be given by its amplitude.

Phase (waves) - Wikipedia

We are now ready to consider the effect of the phase-shift. In fact, we can make note of the fact that the graph of the function will cross the t axis when The first time that this happens is when which corresponds to a value of t given by Thus, the graph will be shifted so that it crosses the t axis at this value. The shape of the curve does not change, only its position on the t axis. Superimposing sines and cosines Let us take a second look at the function we investigated above, and notice that when we apply the trigonometric identity we obtain is a constant, and therefore so isand assigning the names we have found that Thus, by using a trigonometric identity for the sums of angles, we have reduced a problem we needed to understand the question we started with, at the top of this page with a problem that we already know how to solve.

Frequency, Cycle, Wavelength, Amplitude and Phase

Example 3 - Low and High frequency example So — Remember —- Frequency is simply something that repeats itself over and over again. It is measured in cycles per seconds. The more cycles per second, the more frequency or referenced as higher frequency. In the below example, reference 1 is the most often way wavelength is measured.

• Phase (waves)
• Amplitude, Period, Phase Shift and Frequency

The higher power, or amplitude, the higher the wave form peeks. The lower the power, or amplitude, the lower the wave form peeks all while frequency, cycle and wavelength remain the same. Example 5 - Amplitude shown by the hight or peeks of the wave form.

Phase, Frequency, Amplitude, and all that..

PHASE Phase is the same frequency, same cycle, same wavelength, but are 2 or more wave forms not exactly aligned together. The phase involves the relationship between the position of the amplitude crests and troughs of two waveforms. Phase can be measured in distance, time, or degrees. If the peaks of two signals with the same frequency are in exact alignment at the same time, they are said to be in phase.

Wavelength, Frequency, Amplitude and phase – defining Waves !

Conversely, if the peaks of two signals with the same frequency are not in exact alignment at the same time, they are said to be out of phase. Signals that have 0 zero degree phase separation actually combine their amplitude, which results in a received signal of much greater signal strength, potentially as much as twice the amplitude.

If two RF signals are degrees out of phase the peak of one signal is in exact alignment with the trough of the second signalthey cancel each other out and the effective received signal strength is null.