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**Unformatted text preview: **x ( n ) = [4 , 1 , 2] (2) (a) Compute the Z-Transform X ( z ). (b) Let y ( n ) = x ( n ) * x ( n ). Determine y ( n ) by (i) convolution in the time domain, and (ii) by transformation into the Z-domain. 4. Consider the discrete-time signal: x ( n ) = [1 , , 2 , 0] (3) (a) Compute the 4-point DFT, X ( k ) of the above signal. (b) Using X ( k ), evaluate the inverse transform x ( n ) for n =-6 through 6. 5. Consider a continuous time signal consisting of a cosine at 1 Hertz: x ( t ) = cos (2 t ) sampled with a sampling frequency of F s = 2 / 3 Hz . The sampled signal is then input to an ideal D/A converter. What is the frequency of the signal that will emerge from the D/A converter? 1...

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