1. PRE-WORKSHOP: Let o be the continuous-time sinusoidal signal given by x(t) = cos(207) = What is the frequency of this
Posted: Fri Apr 29, 2022 8:24 am
1. PRE-WORKSHOP: Let o be the continuous-time sinusoidal signal given by x(t) = cos(207) = What is the frequency of this signal? Let y be the discrete-time signal obtained from sampling z with sampling frequency fs = 15 11z. Then y[n] = x(nT;), where T, = 1/fs. Show that aliasing of x occurs at this sampling frequency by showing that there exists a lower frequency continuous-time sinusoidal signal 21 such that, if yi is the discrete-time signal obtained from sampling 11 with sampling frequency fs, then for all n ez, yi[n] = y[n] = Hint: Consider Problem 13 from the Practice Problems. 2. PRE-WORKSHOP: What is the least frequency fe that can be used to sample z without aliasing? Give a reason for your answer, explaining it using your intuition rather than referring to the existing theorems. Write about 10 to 20 words.