1. Assume that f[k] = (0.6)* u[k]. (a) Calculate the numerical values of f[k] for k = 0, 1, 2, and 3. (b) Using the firs

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1 Assume That F K 0 6 U K A Calculate The Numerical Values Of F K For K 0 1 2 And 3 B Using The Firs 1 (29.9 KiB) Viewed 43 times

1. Assume that f[k] = (0.6)* u[k]. (a) Calculate the numerical values of f[k] for k = 0, 1, 2, and 3. (b) Using the first four values of f[k] in part (a), pad four zeros and then determine the numerical values of the DFT of the resulting eight-point signal. Express your answers in rectangular form to four decimal places. (c) Calculate the numerical values of the DTFT of f[k] at 2=0, π/4, π/2, 3/4, ,5/4, 37/2, and 77/4. Express your answers in rectangular form to four decimal places. (d) How do the values in parts (b) and (c) compare? Do you expect the DFT values to agree perfectly with the corresponding DTFT values? Why or why not?