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just looking for #2, 3, and 4 Problems: 1. Consider the system shown below. Let the input signal to the Ideal Sampler to be: s(t) = 2 cos(2m50t) + 4cos(2m100t) a. (10 points) Determine S(f) and plot it b. (20 points) Let the sampling rate to be: fs 300 samples/sec. Plot the spectrum of the Ideal sample, that is plot S8(f) c. Let the sampling rate to be: fs 175 samples/sec. i. (30 points) Plot S8(f) ii. (10 points) Let...
Problem 5) The approximate magnitude and phase values of a passive filter circuit is given in the Table P5 Table P5 Frequency Magnitude Phase 0 rad/s 50 500 4500 10000 dB -40 -20 -3 0 90 90 45 a) Find an expression for the output signal Vo(t) when input signal is vs(t)-10 sin(4500t+10) b) Find a steady-state expression for Vo(t) when input signal is vs(t)-50 cos(50t-45°).u(t) c) Find a steady-state expression for vo(t) when input signal is vs(t)-15 sin(10000t+550).u(t) d)...
ㆍ 3 (10) Let = Re', z = re (0<r< R) be two complex numbers. Show the following identities hold: R2 2 OO = Re = 1 +2 C-z ΣΑ. R2 - 2rR cos (-0)r2 coS n(-e) n=1
5. [20 marks Consider the RC series circuit shown in Fig. 3. Determine the overall output y(t). Determine the steady state output, yss(t), of the circuit if the input signal is given by r(t) = sin (3t) u(t) x(t) = sin(31) C = 0.5 μF Figure 3: RC series circuit for Q5
A21921 2. +9V Re Vout Re RE CE 0v Figure 3 (a) ) State the purpose of each of the capacitors Cin, Cout and Ce in the circuit [3 shown in Figure 3. (i) Derive an expression for the input resistance of this circuit in terms of the [5 mutual conductance of the transistor gm and its current gain β. we require an amplifier with a gain of-100, an output impedance of 1kΩ and an input impedance of 1k2. The...
Question 3 (1 point) Rsig vse {cB+1)re Bin La SRC SRL Vout The model for a common-emitter small-signal BJT amplifier is shown. Determine the peak-to-peak value of Vout if Vsig = 100 mVpp- Assume B = 100, re = 20 s and ro = 50 k12. Other circuit values are Rsig = 1 ks, RC = 4k22 and RL = 10 k22 Ovout = 8.95 Vpp Ovout = 20.3 Vpp Ovout = 13.4 Vpp Ovout = 6.55 Vpp
Q6 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.
B 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.
Problem 1 (Problem Solving Workshop 1) For a parallel RL circuit R-10, L 1H Determine 1) 21 3) 4) The transfer function H(s) = (s), the pole-zero map, and the step response. Let L(0) - OA The state and output equations. Let Lt) be the state variable The block diagram of this system. Let (O) = -1 The response (t) due to a step input (t) = (t) A) using a known software. Problem #2 (Problem Solving Workshop 1) For...