Is an interval for a function and its Fourier transform based on the time constants?

1. What is the Fourier transform of a constant?
2. What does the Fourier transform represent?
3. What is DFT and IDFT in DSP?
4. What is Fourier transform formula?

What is the Fourier transform of a constant?

Fourier Transform of Constant Amplitude

Then, the function X(t) is a constant function and it is not absolutely integrable, hence its Fourier transform cannot be found directly. Therefore, the Fourier transform of X(t)=1 is determined through inverse Fourier transform of impulse function [δ(ω)].

What does the Fourier transform represent?

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 is DFT and IDFT in DSP?

The DFT allows one to convert a set of digital time samples to its frequency domain representation. In contrast, the IDFT can be used to invert the DFT samples, allowing one to reconstruct the signal samples x(k) directly from its frequency domain form, X(m).

What is Fourier transform formula?

Forward Fourier Transform: Analysis Equation. X(ω)=+∞∫−∞x(t)e−jωtdt. Inverse Fourier Transform: Synthesis Equation. x(t)=12π+∞∫−∞X(ω)ejωtdω