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assignments:a1 [2011/09/28 20:15] asifassignments:a1 [2011/09/28 20:16] (current) asif
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 **Student Questions on Assignment 1:** **Student Questions on Assignment 1:**
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 //Q1. For the assignment Problem 1.8 # (iv), how did you make exp(j(pi*k/2 + pi/8)) = 1. I don't understand this equality.// //Q1. For the assignment Problem 1.8 # (iv), how did you make exp(j(pi*k/2 + pi/8)) = 1. I don't understand this equality.//
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 A1. Note that exp(j(pi*k/2 + pi/8)) does not equal 1 but the magnitude of exp(j(pi*k/2 + pi/8)) equals 1. A1. Note that exp(j(pi*k/2 + pi/8)) does not equal 1 but the magnitude of exp(j(pi*k/2 + pi/8)) equals 1.
  
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 //Q2. How do i Evaluate and find the period of exp(-j*pi*k).// //Q2. How do i Evaluate and find the period of exp(-j*pi*k).//
-A2. Note that exp(-j*pi*k) = cos(pi*k) - j sin(pi*k)+ 
 +A2. Note that exp(-j*pi*k) = cos(pi*k) - j sin(pi*k).
 Since sin(pi*k) = 0, therefore, exp(-j*pi*k) = cos(pi*k) which has a period of pi radians/s or 1/2 Hz. Since sin(pi*k) = 0, therefore, exp(-j*pi*k) = cos(pi*k) which has a period of pi radians/s or 1/2 Hz.
  
 //Q3. If (-1^k) = exp(j*pi*k), what does (-5^k) or (5^k) equal to?// //Q3. If (-1^k) = exp(j*pi*k), what does (-5^k) or (5^k) equal to?//
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 A3. You can not express (-5^k) or (5^k) in the form that (-1^k) was expressed. A3. You can not express (-5^k) or (5^k) in the form that (-1^k) was expressed.
  
assignments/a1.1317240925.txt.gz · Last modified: 2011/09/28 20:15 by asif

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