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assignments:a1 [2012/09/13 20:13] marashassignments:a1 [2013/09/04 21:19] (current) marash
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 Problem 1.15 (i) and (iii) Problem 1.15 (i) and (iii)
 +
 +
 +
 +**Hints for Problem 1.5 part (v)**
 +
 +Note that:
 +
 +  - 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 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, then y(t) is periodic if all combinations of T_1/T_2, T_1/T_3, and T_2/T_3 are rational numbers.   - 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, then y(t) is periodic if all combinations of T_1/T_2, T_1/T_3, and T_2/T_3 are rational numbers.
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   * sin^2(t) = 1/2(1 − cos(2t))   * sin^2(t) = 1/2(1 − cos(2t))
   * cos(a)cos(b) = 1/2[cos(a+b) + cos(a−b)]   * cos(a)cos(b) = 1/2[cos(a+b) + cos(a−b)]
 +
 +**Problem 1.15**
 +
 +There is a typo and the correct one is as follows:
 +
 +x1[k] = sin(4k)+cos(2*pi*k/3).
assignments/a1.1347567191.txt.gz · Last modified: 2012/09/13 20:13 by marash

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