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mae143a

# mae143a - MAE143 A Signals and Systems Winter 11 Final...

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MAE143 A - Signals and Systems - Winter 11 Final Instructions (i) This exam is open book. You may use whatever written materials you choose, including your class notes and textbook. You may use a hand calculator with no communication capabilities (ii) You have 3 hours (iii) Do not forget to write your name, student number, and instructor 1. Filtering and sampling. The continuous-time signal x ( t ) = 100 sinc 2 (100 t ) goes through an ADC block that samples signals at a frequency f s = 190 Hz. Answer the following questions (a) (1 point) Compute the Fourier transform of x ( t ) . What is its bandwidth? (b) (1 point) Would you be able to reconstruct the original signal out of the samples taken by the ADC block? Why? (c) (2 points) Consider a system whose impulse response is given by h ( t ) = 150 sinc(150 t ) What kind of filter is this? What is its cutoff frequency in Hz? Plot the magnitude and phase of the transfer function. (d) Suppose the signal x ( t ) passes first through the system in (c) to produce the signal y ( t ) and then goes through the ADC block to produce the samples, see Figure 1.

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mae143a - MAE143 A Signals and Systems Winter 11 Final...

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