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The function x(t) is shown in the figure. Even and odd parts of a unit step function u(t) are respectively
  • a)
  • b)
  • c)
  • d)
Correct answer is option 'A'. Can you explain this answer?
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The function x(t) is shown in the figure. Even and odd parts of a unit...
x(t) = u(t) - u(-t)
 
u(t) = 
u(-t) = 
-u(-t) = 
Hence, 
x(t) = u(t) - u(-t)
 
 
even part = [u(t) + u(-t)] / 2 = 1/2
odd part = [u(t) - u(-t)] / 2 = 1/2[x(t)]
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The function x(t) is shown in the figure. Even and odd parts of a unit step function u(t) are respectivelya)b)c)d)Correct answer is option 'A'. Can you explain this answer?
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