assignments:a1
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assignments:a1 [2012/09/13 20:13] – marash | assignments:a1 [2013/09/04 21:19] (current) – marash | ||
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Problem 1.15 (i) and (iii) | Problem 1.15 (i) and (iii) | ||
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+ | **Hints for Problem 1.5 part (v)** | ||
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+ | Note that: | ||
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+ | - All CT complex exponentials are periodic. | ||
+ | - A real valued exponential signal is not periodic. | ||
+ | - Sum of a periodic signal and an aperiodic signal is not periodic. | ||
+ | |||
**Hints for Problem 1.5 part (vi)** | **Hints for Problem 1.5 part (vi)** | ||
- | Please consider the following points: | + | Note that: |
- | - Sum of a periodic signal and a aperiodic signal is not periodic. | + | - Sum of a periodic signal and an aperiodic signal is not periodic. |
- Product of two periodic signals is not necessarily periodic. | - Product of two periodic signals is not necessarily periodic. | ||
- If we have y(t) = x_1(t)+x_2(t)+x_3(t) where all three are periodic with periods T_1, T_2, and T_3 respectively, | - If we have y(t) = x_1(t)+x_2(t)+x_3(t) where all three are periodic with periods T_1, T_2, and T_3 respectively, | ||
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* sin^2(t) = 1/2(1 − cos(2t)) | * sin^2(t) = 1/2(1 − cos(2t)) | ||
* cos(a)cos(b) = 1/ | * cos(a)cos(b) = 1/ | ||
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+ | **Problem 1.15** | ||
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+ | There is a typo and the correct one is as follows: | ||
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+ | x1[k] = sin(4k)+cos(2*pi*k/ |
assignments/a1.1347567191.txt.gz · Last modified: 2012/09/13 20:13 by marash