1 (a) (b) x₂ (1) x₂ (1). Consider the system shown in Figure Q1(a)(i), where the frequency response H(w) has magnitude a

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1 A B X 1 X 1 Consider The System Shown In Figure Q1 A I Where The Frequency Response H W Has Magnitude A 1 (79.47 KiB) Viewed 37 times

1 (a) (b) x₂ (1) x₂ (1). Consider the system shown in Figure Q1(a)(i), where the frequency response H(w) has magnitude as shown in Figure Q1(a)(ii). Given x₁ (t) = cos (nt) and x₂ (t) = cos (2nt). (i) Determine the mathematical expression of x(t) and its corresponding Fourier transform X(w). (4 marks) Sketch the magnitude spectrum of Y(). (6 marks) Determine the output signal, y(t). (3 marks) By using the Fourier transform, calculate the voltage, v(t) and the current, i(t) in the circuit shown in Figure Q1(b) when the input, e(t) = u(t)- u(t-2) V. (ii) (iii) Figure Q1(a)(i) Figure Q1(a)(ii) H(o) 1- Σ x(t) 4x H(@) y(t) ex(rad/s) (7 marks)