Discrete Fourier Series of square of a signal

1. What is the Fourier transform of a square?
2. How do you calculate DTFT of a signal?
3. How do you find the discrete Fourier series?

What is the Fourier transform of a square?

Example: Fourier Transform of Square Wave

The shape of the transform follows that of the Fourier Series coefficients, but it is now a function and ω and takes the form of a series of impulses at ω=n·ω₀ (and amplitude 2πc_n).

How do you calculate DTFT of a signal?

Find the DTFT of the sequence x(n)=u(n−k). ⇒F[u(n−k)]=e−jωk+e−jω(k+1)+e−jω(k+2)+... ⇒F[u(n−k)]=e−jωk(1+e−jω+e−j2ω+e−j3ω+...)

How do you find the discrete Fourier series?

The DFT formula for X k X_k Xk​ is simply that X k = x ⋅ v k , X_k = x \cdot v_k, Xk​=x⋅vk​, where x x x is the vector ( x 0 , x 1 , … , x N − 1 ) .