A signal is defined by the equation: x(t) = 5 4 () a) Sketch the form...

 

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A signal is defined by the equation: x(t) = 5 4 (¹) a) Sketch the form of the signal in the time domain. (2) b) Write an expression for the frequency domain representation of this signal and sketch the corresponding frequency magnitude plot, clearly marking values at important points such as intercepts. [Hint: Use the tables in the formula sheet] (5) c) Give a suitable cut-off frequency of an ideal filter that would allow most of this signal through. Clearly state all assumptions. Briefly describe how this filtering would change the time domain output signal. (3) A signal is defined by the equation: x(t) = 5 4 (¹) a) Sketch the form of the signal in the time domain. (2) b) Write an expression for the frequency domain representation of this signal and sketch the corresponding frequency magnitude plot, clearly marking values at important points such as intercepts. [Hint: Use the tables in the formula sheet] (5) c) Give a suitable cut-off frequency of an ideal filter that would allow most of this signal through. Clearly state all assumptions. Briefly describe how this filtering would change the time domain output signal. (3)