Howtosignalprocessing
- Which function Fourier transform does not exist?
- Where are Fourier transforms used in real life?
- What are the examples of Fourier transform?
- Does the Fourier transform always exist?
Which function Fourier transform does not exist?
both e2t u(t), t u(t) are unbounded signals. Therefore, Fourier transform does not exists.
Where are Fourier transforms used in real life?
Fourier Transform is a mathematical model which helps to transform the signals between two different domains, such as transforming signal from frequency domain to time domain or vice versa. Fourier transform has many applications in Engineering and Physics, such as signal processing, RADAR, and so on.
What are the examples of Fourier transform?
An example application of the Fourier transform is determining the constituent pitches in a musical waveform. This image is the result of applying a Constant-Q transform (a Fourier-related transform) to the waveform of a C major piano chord.
Does the Fourier transform always exist?
The Fourier transform of a continuous-time function is defined if the function is absolutely integrable, otherwise it does not exist.
