Question

Check the periodicity for each of the following signals for 0 ? n ? ?. If they are periodic, what is the period? 1. cos(2?n + ?) 2. (.1)?cos(5?n + ?/2) 3. u(n) 4. u(n) + 1 5. ?(n) + u(n) 6. cos(?2?n) 7. u(n) + cos(2?n + ?) 8. cos(2?n + ?) + ?(n - 1) 9. 2cos(2n - ?)

          Check the periodicity for each of the following signals for 0 ? n ? ?. If they are periodic, what is the period?
1. cos(2?n + ?)
2. (.1)?cos(5?n + ?/2)
3. u(n)
4. u(n) + 1
5. ?(n) + u(n)
6. cos(?2?n)
7. u(n) + cos(2?n + ?)
8. cos(2?n + ?) + ?(n - 1)
9. 2cos(2n - ?)
        
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Check the periodicity for each of the following signals for 0 ? n ? ?. If they are periodic, what is the period?
1. cos(2?n + ?)
2. (.1)?cos(5?n + ?/2)
3. u(n)
4. u(n) + 1
5. ?(n) + u(n)
6. cos(?2?n)
7. u(n) + cos(2?n + ?)
8. cos(2?n + ?) + ?(n - 1)
9. 2cos(2n - ?)

Added by Anne Y.

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Calculus: Early Transcendentals
Calculus: Early Transcendentals
James Stewart 8th Edition
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Check the periodicity for each of the following signals for 0 ≤ n ≤ āˆž. If they are periodic, what is the period? 1. cos(2Ļ€n + Ļ€) 2. (.1)ⁿcos(5Ļ€n + Ļ€/2) 3. u(n) 4. u(n) + 1 5. Ī“(n) + u(n) 6. cos(√2Ļ€n) 7. u(n) + cos(2Ļ€n + Ļ€) 8. cos(2Ļ€n + Ļ€) + Ī“(n - 1) 9. 2cos(2n - Ļ€)
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Transcript

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00:01 In this question, we have to find if the given function is periodic.
00:04 If it is, then we have to write the period of that function.
00:08 First one given is cost of 2 pi into n plus pi.
00:15 We can say that the cosine functions are periodic.
00:31 And as cosine functions are periodic, your w is equal to 2 pi.
00:36 Therefore 2 pi divided by t is equal to 2 pi and we can say that here the time period is equal to 1.
00:50 Second one it is given as 0 .1 raise to n into cost of 5 pi into n plus pi divided by 2.
01:08 To pi.
01:09 Therefore, it can be said that 2 pi divided by t is equal to 5 pi.
01:18 Therefore, the time period, t will be equal to 2 divided by 5...
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