Tuto7_FreqDomain

# Tuto7_FreqDomain - ω j j j e e e H − − + − = 2 1 1 2...

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EE3210 Tutorial 7: Fourier Transform and Frequency-Domain Analysis 1. (Problem 4.36 in the Textbook) Consider a continuous-time LTI system whose response to the input [ ] ) ( ) ( 3 t u e e t x t t + = is [ ] ) ( 2 2 ) ( 4 t u e e t y t t = . a) Find the frequency response of this system. b) Determine the system’s impulse response. c) Find the differential equation relating the input and the output of this system. 2. Consider a discrete-time system consisting of the cascade of two LTI systems with frequency responses
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Unformatted text preview: ω j j j e e e H − − + − = 2 1 1 2 ) ( 1 and 2 2 4 1 1 1 ) ( j j j e e e H − − + − = . a) Find the difference equation describing the overall system. b) Determine the impulse response of the overall system. 3. Consider the Fourier transform pair 2 2 2 + ⎯→ ← − a a e F t a . Use appropriate Fourier transform properties to determine the Fourier transform of t j e t a a 2 2 2 2 − + ....
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