Unclear time-to-frequency integration step

1. How do you convert time domain to frequency domain?
2. Why do we convert time domain to frequency domain?
3. What is FFT spectrum analysis?
4. How do you perform FFT?

How do you convert time domain to frequency domain?

Relationship between the Time Domain and Frequency Domain

Thus, given the signal x(t) and the unit impulse response h(t), one can either directly calculate the response y(t) via convolution in the time domain, or one can apply the Fourier transform to x(t) and y(t) to move into the Fourier domain.

Why do we convert time domain to frequency domain?

For mathematical systems governed by linear differential equations, a very important class of systems with many real-world applications, converting the description of the system from the time domain to a frequency domain converts the differential equations to algebraic equations, which are much easier to solve.

What is FFT spectrum analysis?

The FFT spectrum analyzer samples the input signal, computes the magnitude of its sine and cosine components, and displays the spectrum of these measured frequency components. Why Look at a Signal's Spectrum? For one thing, some measurements which are very hard in the time domain are very easy in the frequency domain.

How do you perform FFT?

The FFT operates by decomposing an N point time domain signal into N time domain signals each composed of a single point. The second step is to calculate the N frequency spectra corresponding to these N time domain signals. Lastly, the N spectra are synthesized into a single frequency spectrum. separate stages.