I have an input sequence $$x(n)=\cos(0.48\pi n)+\cos(0.52\pi n).$$ I am determining its spectrum (amplitude of DFT values) based on the finite number of samples.
For Example :
Taking the first $10$ samples of $x(n)$, $n=0, \ldots, 9$, calculating the $10$-point DFT of $x(n)$
Using the $10$ samples from part $1$, calculating and plotting the $100$-point DFT.
Taking the first $100$ samples of $x(n)$, $n=0, \ldots, 99$, ploting the $100$-point DFT of $x(n)$.
- Why are we going for a $100$-point DFT/ $200$-oint DFT ?
- And what happens when we take $10$ samples and calculate $100$-point DFT ?