w04-tut-questions - School of Electrical, Computer and...

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School of Electrical, Computer and Telecommunications Engineering, University of Wollongong Review Tutorial Questions : Sampling & Aliasing - Part 1 ----------------------------------------------------------------------------------------------------------- 4-1- The term “sequence” may be used to refer to a discrete-time signal. What is the reason(s)? Also, terms such as wave, waveform, signal, and function are used for referring to CT and DT entities. Make a table listing terms, including sequence, are used in this context and give very brief explanations for each. 4-2- Briefly discuss the difference between an ideal continuous to discrete converter and a practical analogue to digital converter. Include corresponding block diagram representations for both systems in your explanations. 4-3- Discrete-time frequency is dimensionless. Provide some explanations through comparing it with angular frequency (circular or radian frequency) and show how an identical discrete-time frequency could be resulted from an infinite number of continuous-time sinusoid waves. 4-4- Aliasing is solely due to the fact that trigonometric functions are periodic with period 2π. Using a numerical example (mathematical formula) show aliases in discrete-time sinusoids are generated because of the simple and well known trigonometric identity of cos( θ  +  2 π   ) cos( θ   ) 4- 5- Suppose that a discrete-time signal x[n] is given by the formula shown here; x [ n ] 2.2 cos(0.3 π   . n −  π   / 3) and that was obtained by sampling a continuous-time signal of x ( t ) A cos(2 π   . f 0 t φ   ) at a sampling rate of 6000 samples per second. Determine three continuous-time signals that could produced x[n]. All these continuous-time signals should have a frequency less than 8kHz. Write the mathematical formula for all three. 4-6- (a) From engineering point of view, an ideal Continuous to Discrete converter is
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w04-tut-questions - School of Electrical, Computer and...

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