starting from the continuous input signal defined by the following time-domain equation:
$$x_{in}(t) = sin(\pi t) + 0.25sin(\pi t + \frac{\pi}{4})$$
a) Assuming a sample rate $f_s$ of 2 samples/second, collect 4 discrete input samples.
b) Calculate all output DFT frequency-domain values.
c) Calculate the power level of the results from each of parts a and b.
d) Perform an upsampling for $L=4$ of your results from part a. This can be done either with a table of results or a graph/plot of the values.
e) For your new sequence defined in part d, describe the time-domain and frequency-domain behavior of that sequence in relation to the original sequences from parts a and b.