Amazon.com: The Fourier Transform: A Tutorial Introduction: 9781916279148: Stone, James V: 圖書

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Questions set #2: Fourier Transform applications[13 marks]Consider the LTI system characterized by the differential equation:[8 marks]dy(t)/dt = y(t) * x(t)(a) Determine the frequency response (1 pt)(b) Sketch the magnitude of H(jw) (2 pts.)(c) State the type of the obtained filter (1 pt)(d) Find the filter cutoff frequency fc (1 pt)(e) Determine the Fourier transform of the output, Y(jw), if x(t) = e^(-t)u(t), and then find y(t). (3 pts)2. Consider the discrete-time LTI system described by:[5 m