Fourier Transform Formula
The Fourier transform of a signal x(t) is denoted by the X(f) and is defined as follows:
X(f) = \int_{-\infty}^{\infty} x(t) e^{-j2\pi ft} dt
Here f is the frequency in parameter of Hertz.
The notation used in the Fourier transform formula is:
- x(t) is an time-domain signal.
- X(f) is the frequency-domain signal.
- j is a imaginary unit.
- e −j2πft is an complex exponential function.
Fourier Transform in Circuit Analysis
In this article, we will study about the Fourier transform analysis or Fourier Transform in Circuit Analysis. The Fourier transform is basically a mathematical operation that decomposes a signal into its constituent frequency components. In simple words, it converts a signal from the time domain to the frequency domain. The time domain will represent the signal as a function of time, while the frequency domain represents the signal as a function of frequency.