When two frequencies are multiplied together, the resulting waveform will contain both sum and difference frequencies. The amplitude values of these frequencies depend on their relative phase relationship.
If the two frequencies are out of phase with each other, meaning they have a phase difference or phase shift, the resulting waveform will exhibit interference patterns. The interference can be constructive or destructive, depending on the specific phase relationship.
Constructive interference occurs when the two frequencies are in phase or have a phase relationship that results in their peaks and troughs aligning. In this case, the amplitudes of the resulting frequencies will add up, leading to an increase in the overall amplitude.
Destructive interference occurs when the two frequencies are out of phase or have a phase relationship that results in their peaks and troughs canceling each other out. In this case, the amplitudes of the resulting frequencies will subtract from each other, leading to a decrease in the overall amplitude.
The specific impact on the amplitude values will depend on the exact phase relationship between the two frequencies. If the phase difference is constant, the interference pattern will be consistent. However, if the phase difference varies over time, the resulting waveform may exhibit complex variations in amplitude due to the changing interference patterns.
In summary, if two frequencies that are multiplied together are out of phase with each other, the resulting amplitude values will depend on the specific phase relationship. Constructive interference can lead to an increase in amplitude, while destructive interference can cause a decrease. The overall amplitude behavior will be determined by the complex interaction between the two frequencies.