Q6 A second CT system has the following pole-zero diagram: jw X S-plane Re х let...
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A second CT system has the following pole-zero diagram: jw X S-plane Re х let assume that the input signal is as follows {1; cos(t) > 0; otherwise. Let ak and by represent the Fourier series coefficients of the input and output signals, respectively, where the fundamental (lowest frequency component) of each signal has a period of 27. It is known that he . Determine , justify your answers mathematically.
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B) A second CT system has the following pole-zero diagram: jw x 1 S-plane Re X let assume that the input signal is as follows (1; cos(t) > z(t) 0; otherwise. Let at and be represent the Fourier series coefficients of the input and output signals, respectively, where the fundamental (lowest frequency component) of each signal has a period of 2n. It is known that bo. Determine bo, justify your answers mathematically.
5 . A) A causal Continuous-time system has the following pole-zero diagram: jw S-plane Re -1 - Let y(t) = s(t) represent the response of this system to a unit-step signal 0; otherwise. Assume that the Unit-Step response s(t) of this system is known to approach 1 as t o. Determine y(t) = s(t), justify your answers mathematically.
Consider the following CT periodic signals x(t), y(t) and z(t) a(t) 5 -4 y(t) 5/-4 z(t) 5 4 (a) [2 marks] Find the Fourier series coefficients, ak, for the CT signal r(t), which is a periodic rectangular wave. You must use the fundamental frequency of r(t) in constructing the Fourier series representation (b) [2 marks] Find the Fourier series coefficients, bk, for the CT signal y(t) cos(t) You must use the fundamental frequency of y(t) in constructing the Fourier series...
P5.6-3 displays the pole-zero plot of a system that has re 5.6-5 Figure second-order real, causal LTID s Figure P5.6-5 (a) Determine the five constants k, bi, b2, aj, and a2 that specify the transfer function (b) Using the techniques of Sec. 5.6, accurately hand-sketch the system magnitude response lH[eill over the range (-π π) (c) A signal x(t) = cos(2πft) is sampled at a rate Fs 1 kHz and then input into the above LTID system to produce DT...