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.

How can I design an active filter circuit (just the low pass) using resistors, capacitors, and op-amps that will implement the transfer function. You will need to factor the function into cascade functions in order to make this easier. I jus want the drwan design with a litte explanation if possible.

(b) 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 Ilz 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 op- amp buffer stage in your circuit design.

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6. a. Derive an expression for the transfer function H(f)-Vo/Vin for the circuit shown in Figure below. b. Given R, 502, R2 = 50 2, and L = 15µH, sketch the magnitude of the transfer function versus frequency. R₁ L www 0000 in R₁₂ out

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