Repeat the discrete transform for f(x)=2x sampled at x0=0, x1=1, x2=2, and x3=3. You must show as least as much detail as is given in the notes. Ans: [12 -4+4i -4 -4-4i]^T

11.9-JG6 - Repeat the discrete inverse transform and show that these return the original time domain data points. You must show as least as much detail as is given in the notes.

11.9-JG7 - If the time domain samples Problem 11.9-JG5 above, are taken every 2 milliseconds, i.e. x1=0.002 s, determine:
a) Sample window, T sec
b) The time of each temporal sample, xk
c) The frequency of each frequency domain sample wn in Hz
d) Frequency resolution of the DFT, Delta w in Hz
e) The highest resolvable frequency, wmax in Hz