# Tag Info

### Finding Discrete Fourier Transform (DFT) for different DFT size

This exercise is aimed at showing that zero-padding in the time domain interpolates the frequency domain. Since this is homework, I'll give you the beginning of the solution. Just like you did, start ...
1 vote
Accepted

### Is it useful to think of a Fourier Transform as writing out a signal in terms of a basis?

Question 1: Yes. In fact, the Fourier series becomes countable, although infinite, under restriction, say $[0,2\pi]$, with some exceptions. See this: Schauder basis: Relation to fourier series. ...
1 vote
Accepted

### Alternative way to find fourier transform

There are two main strategies to simplify the calculation of the Fourier Transform. Use Fourier Transform properties "Deconstruct" the time domain functions into other functions with easier ...
1 vote

### Alternative way to find fourier transform

With such a simple function it is probably easiest to directly solve the Fourier integral. It's also wise to commit such simple Fourier identities to memory. Another relatively simple method I can ...

### What is the reason of existence of Fourier transform? (Why we use Fourier transform?)

The Taylor series attempts to model a limited piece of a function or a data series using a weighted sum of polynomials. This only works for relatively small values of x or t. The Fourier ...

### “The Fourier transform cannot measure two phases at the same frequency.” Why not?

If you change the phase at a constant frequency, FFT calculates a different result. Unfortunately, it is common practice to erase the phase by forming and displaying the magnitude (see line 7 in the ...