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justwild
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How will the graph of a sine wave (plotted against time axis) of a particular frequency look like if the same is plotted against frequency?
Do you mean that there will be single thin line rising upto 1 corresponding to that frequency only?mathman said:... is a delta function at the frequency of the sine wave.
mathman said:Single sine wave frequency domain graph is a delta function at the frequency of the sine wave.
Time-domain refers to the representation of a signal in terms of time, where the amplitude of the signal is plotted against time. Frequency domain, on the other hand, represents the signal in terms of its frequency components, where the amplitude of each frequency component is plotted against its frequency.
A signal can be converted from time-domain to frequency domain using a mathematical operation called the Fourier transform. This operation decomposes the signal into its individual frequency components, allowing it to be represented in the frequency domain.
The frequency domain representation of a signal allows for easier identification and analysis of specific frequency components. This can be useful in applications such as filtering, noise removal, and signal processing. Additionally, some phenomena, such as periodic signals, are more easily understood and analyzed in the frequency domain.
Yes, a signal can be converted back from frequency domain to time-domain using the inverse Fourier transform. This operation combines the individual frequency components back into the original signal in the time-domain.
The concept of time-domain to frequency domain conversion is commonly used in various fields such as signal processing, telecommunications, audio and video processing, and image processing. It is also an important tool in scientific research and analysis, particularly in fields such as physics, engineering, and astronomy.