ELECENG 3TR4 Final: EE3TR4 Final Exam 2009

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This examination paper includes 6 pages and 6 questions. You are respon- sible for ensuring that your copy of the paper is complete. Bring any dis- crepancy to the attention of your invigilator. Special instructions (a) the mcmaster standard calculator (casio fx991) is the only calculator approved for this exam. No other aids are permit- ted. (b) there are 6 questions. Page 2 of 6: consider the system shown in fig. The cuto frequency fc of the ideal low pass lter h(f ) satis es fc > fo, where fo is the frequency of the input sinusoid. The passband gain of h(f ) is one. The noise n(t) is white and has a power spectral density (psd) sn = no/2. Give an expression for the autocorrelation rx( ) and the power spectral density. Hint: the noise n(t) and any sinusoid are uncorrelated. Figure 1: figure for question 1: a block diagram of a digital transmission system is shown in fig.