Home-Work 5 All questions carry equal points. Don't forget to highlight your final answers 25 ues...
Home-Work 5 All questions carry equal points. Don't forget to highlight your final answers 25 uestion # 1 Use table to find Fourier transform. Sketch the magnitude response and phase response (i) x(t) Cos(1000t) (ii) x(t) 13Cos(100t)- 7Sin(500t) (iv) x(t) rect To (v) xo)-rect ()Cos(10001) (v) x(o) -ret)Cos(000t) Question # 2 Let h(t) be a linear time invariant system, with the following transfer function s + 1 000m (a) Find H(w) (b) Sketch the magnitude and phase response of H(w) (c) Verify your answer using matlab (d) From part(c), Explain what type of filter is it? Lowpass, Highpass, Bandpass or Bandreject (e) Find the output of the system which is y(t) if input to this system is, x1(t) 10Cos(1000mt 30). Find the output of the system which is y(t) if input to this system is, (f) x2(t) = 10Cos(1Oxt + 300). (g) Qualitatively explain, the results of part(e) and partf). i.e. Why x1(t) is not attenuated and x2(t) is attenuated when it passes through the filter
Home-Work 5 All questions carry equal points. Don't forget to highlight your final answers 25 uestion # 1 Use table to find Fourier transform. Sketch the magnitude response and phase response (i) x(t) Cos(1000t) (ii) x(t) 13Cos(100t)- 7Sin(500t) (iv) x(t) rect To (v) xo)-rect ()Cos(10001) (v) x(o) -ret)Cos(000t) Question # 2 Let h(t) be a linear time invariant system, with the following transfer function s + 1 000m (a) Find H(w) (b) Sketch the magnitude and phase response of H(w) (c) Verify your answer using matlab (d) From part(c), Explain what type of filter is it? Lowpass, Highpass, Bandpass or Bandreject (e) Find the output of the system which is y(t) if input to this system is, x1(t) 10Cos(1000mt 30). Find the output of the system which is y(t) if input to this system is, (f) x2(t) = 10Cos(1Oxt + 300). (g) Qualitatively explain, the results of part(e) and partf). i.e. Why x1(t) is not attenuated and x2(t) is attenuated when it passes through the filter