Revisit the example shown in page 14-15 of lecture notes “Sampling and Aliasing". Show mathematically that resultant discrete time sequence x[n] is same for casel (No= 4r rad/s) and case2 (N0= 16ª rad/s).

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4. Revisit the example shown in page 14-15 of lecture notes "Sampling and Aliasing". Show
mathematically that resultant discrete time sequence x[n] is same for casel (No= 4t rad/s)
and case2 (Qo= 16ª rad/s).
Transcribed Image Text:4. Revisit the example shown in page 14-15 of lecture notes "Sampling and Aliasing". Show mathematically that resultant discrete time sequence x[n] is same for casel (No= 4t rad/s) and case2 (Qo= 16ª rad/s).
Case 1: x (t) = cos(2,t), Q, = 4x rad/s
T =1/6 sec -→ N, = 2n /T =127 rad/s > 2S2, = 87 rad/s
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Case 2: x (t) = cos(,t), Q, = 167 rad/s
T = 1/6 sec → N, = 2n /T = 12n rad/s < 22, = 327 rad/s
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Copyright 2020 Taehoon Shin (shinage@gmail.com)
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Transcribed Image Text:Case 1: x (t) = cos(2,t), Q, = 4x rad/s T =1/6 sec -→ N, = 2n /T =127 rad/s > 2S2, = 87 rad/s 10 0.5 -0.5 -1 0.5 1 1.5 Case 2: x (t) = cos(,t), Q, = 167 rad/s T = 1/6 sec → N, = 2n /T = 12n rad/s < 22, = 327 rad/s %3| 10 0.5 -0.5 -1 0.5 1 1.5 2 Copyright 2020 Taehoon Shin (shinage@gmail.com) 15
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