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Unformatted text preview: ENEE 241 02* HOMEWORK ASSIGNMENT 17 Due Tue 04/21 Problem 17A ( Submit both plots. ) The data set data17A.txt contains fifty noisy samples of a continuous-time signal which is a sum of two sinusoids at frequencies f 1 and f 2 (Hz), i.e., s ( t ) = A 1 cos(2 f 1 t + 1 ) + A 2 cos(2 f 2 t + 2 ) The sampling rate f s equals 50 samples/second (i.e., the fifty samples correspond to exactly one second in real time) and is greater than the Nyquist rate for this signal. (i) (4 pts.) If x is the signal vector in data17A.txt , compute and plot the magnitude spectrum of x using the BAR command. (ii) (6 pts.) Compute the magnitude spectrum obtained after zero-padding x to length N = 1000, and plot it using the PLOT command. (iii) (5 pts.) Use the last plot to estimate the values of A 1 and A 2 . (iv) (5 pts.) Use the last plot to estimate the values of f 1 and f 2 . Problem 17B Let s ( t ) =- 4 . 9 + 5 . 2cos(36 t + 0 . 3) + 1 . 4cos(48 t- 1 . 8) + 3 . 3cos(96 t + 2 . 7) , where t is in seconds. (i) (4 pts.) Is s ( t ) periodic? If so, what is its fundamental period T and angular frequency ?...
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- Spring '08