s²-28+2 = (s²+4s+5)(s+1)* Consider a causal stable LTI system with transfer function H(s): (a) Draw the pole-zero plot. (b) Find a minimum phase transfer function HMP(s) and an all pass transfer function HAP(S) such that H(s) = HMP(s)HAP(s) Sketch the pole-zero plots for each of these transfer functions. (c) Sketch the phase /HAP(jw) as a function of w.

SOLVE USING MATLAB PLEASE!

4. Convert the block diagram in problem #3 to signal-flow diagram and use Mason's rule to find the transfer function, EJE:

Problem 5. Find the transfer function Tv (s) = V₂ (s)/V₁(s) of the circuit in Figure 5. (a) Find the de gain, infinite frequency gain, and cutoff frequency. Identify the type of gain response. (b) Sketch the straight-line approximation of the gain response. (c) Calculate the gain at w = 0.25wc, 0.5wc, and wc. (d) Use MATLAB to plot the Bode magnitude gain response of the circuit. Validate your answers for part (c). + 470 Ω v₁(t) 50 mH | 6 470 Ω Figure 5: p+ v₂(t)

Problem 5. Find the transfer function Tv(s) = V₂(s)/V₁(s) of the circuit in Figure 5. (a) Find the de gain, infinite frequency gain, and cutoff frequency. Identify the type of gain response. (b) Sketch the straight-line approximation of the gain response. (c) Calculate the gain at w = 0.25wc, 0.5wc, and wc. (d) Use MATLAB to plot the Bode magnitude gain response of the circuit. Validate your answers for part (c). Help on part D + 470 Ω ww v₁(t) 50 mH 470 Ω Figure 5: + v₂(t)

help on part d

High-frequency ECG biopotentials analysis in the ST-T segment of a high-resolution ECG signal recording requires the analysis of signal components above 30 Hz and below 800 Hz. Design a first order band pass passive filter to accommodate this specified frequency bandwidth. Sketch the circuit configuration. You may use an opamp buffer stage in your circuit design.

y"(1) + 4y'(1) + 8y(1) = 16.x(1) (0) = v'(0) = 0 5 x(1)% = 120 t<0

Calculate the Gain-Bandwidth Product using the values measured from the cursors below

5. We would like to build a filter which implements the Bode approximate gain plot given below. a) What type of filter is this? b) Write an expression for the frequency response, H(jw), in Bode form; c) Write an expression for the transfer function, H(s), in pole-zero form; d) Use the table of op-amp circuits to sketch a circuit which has this frequency response. You do NOT have to specify component (R and C) values. OdB 10 104 105 106