Phase diagram of a rectangular pulse with Fourier Series - help understanding

1. What is the Fourier transform of a rectangular pulse?
2. What is Fourier transform of rectangular signal?
3. What is a rectangular pulse signal?
4. What does phase represent in Fourier transform?

What is the Fourier transform of a rectangular pulse?

The Fourier transform of the rectangular pulse is real and its spectrum, a sinc function, is unbounded. This is equivalent to an upsampled pulse-train of upsampling factor L.

What is Fourier transform of rectangular signal?

The rectangular function pulse also has a height of 1. The Fourier transform usually transforms a mathematical function of time, f(t), into a new function usually denoted by F() whose arguments is frequency with units of cycles/sec (hertz) or radians per second. This new function is known as the Fourier transform.

What is a rectangular pulse signal?

A signal that produces a rectangular shaped pulse with a width of τ (where 𝜏 = 1 for the unit rectangular function) centred at 𝑡 = 0 is known as rectangular signal. The rectangular signal pulse also has a height of 1. Mathematically, the unit rectangular signal is defined as, ∏(tτ)=1for|t|≤(τ2) 0otherwise.

What does phase represent in Fourier transform?

The phase of a signal generally refers to the timing of the signal (or how two sinusoids line up) as you posted in your question. But you are asking about the phase of a signal in the frequency domain (i.e., after an FFT operation). The FFT function computes an N-point complex DFT.