Question2 A continuous-time system has the following functionalities: it generates two copies of input z(t), the first c

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Question2 A Continuous Time System Has The Following Functionalities It Generates Two Copies Of Input Z T The First C 1 (326.17 KiB) Viewed 30 times

Question2 A continuous-time system has the following functionalities: it generates two copies of input z(t), the first copy is passed through a sub-system to generate y(t), the second copy of z(t) is then added to y(t) in order to generate z(t). y(6) x(t) system z(t) 2.5 2 1.5 M N 0.5 0 -0.5 0 2 4 6 10 12 14 16 8 Time (s) Assuming x(t) is a periodical signal for t€ (-00,00), as shown in the figure above, and the output of the sub-system is given as: y(t) = (-x(–t)] s(t – 4) = st* -x(-7)8(t – 4 – 7)dt, where 'r' denotes the convolution operation. Please: (a) determine if the sub-system is a LTI system (3pts), (b) sketch the z(t) (3pts), (c) find an expression for the Fourier series coefficients of z(t) (7pts). (hint: use the complex-exponential form for Fourier analysis, and you might want to use "integration by parts" during the calculation