ECE 624 ASSIGNMENT 1

how do you know this is a hartley configuration?

Figure Q5 shows the cross-section of the typical layout of two tracks (A and B) on a printed circuit board with a ground plane C. The tracks are terminated as shown in the figure, with track A carrying digital signals. You can assume that the lines are electrically short. Q5 Draw the equivalent circuit that models the crosstalk and write down a relation between the voltage applied to track A and the voltage coupled on to track B at low frequencies, VNE- (a) (b) If the total mutual inductance between the two tracks L =9 nH, and the total mutual capacitance between the two tracks is C =2 pF, calculate: (i) the amplitude of the near-end pulse VNE- the amplitude of the near-end pulse VNE if the driven line is terminated in a short circuit instead. Comment on the crosstalk. (ii) В C 50 Q 50 Ω V(t) A B 50 ΩV VE 3 50 2 Vat)* 5 V 50 ns 50 ns 1 μs Figure Q5

For the system shown:a. Get the equationsb. Simplify and determine C / Rc. Draw the signal flow diagram for this system.

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Consider the following plots of time-domain and frequency-domain signals. Label the axes of the five plots. For example, plot B should be labeled as amplitude vs. time. Characterize each plot as either a time-domain or a frequency-domain signal. Describe the mathematical relationships among the plots. For example, how could you arrive at plot A from plots D and E?

Consider the real, frequency-domaln function Illustrated In the glven figure. |x(f)| -f If A = 1, = 95 kHz, and 2 = 105 kHz, graph the inverse CTFT of the given function. Please upload your response/solution using the controls below.

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1.5.12 Define complex signal x(t) = (1 + ) over interval (1 sts 2). The remaining portion is defined such that x(t) is a minimum-energy, skew-Hermitian signal. a. Fully describe x(t) for all t. b. Sketch y(t) = Re(x(t) versus the independent variable t. c. Sketch z(t) = Reljx(-2t + 1)) versus the independent variable t. d. Determine the energy and power of x(t).

A P lant has conen loop tran&per function GlS)=_2 0 The approx model by sretaining only one of the pole which is elole to frequency re&ponse f riginal itransfer fpunction in low frequeny is ?

apply the P Petrick’s method to find the minimum SOP solutions for below question. f(a,b,c,d) =   ...

Linear Circumt Analysis IT- EE202/CE202 - 03 - Spring 2021 4 April - 10 April / In Class Assignment 1 (10%) ourses What is the advantage of using S-domain over time domain in a) circuit analysis. Explain in details. b) and admittance. Define admittance, what is the relationship between impedance

2. What are the differences between MATLAB functions (i) round and floor? (ii) mod and rem (iii) mean and median

For the system shown:a. Get the equationsb. Simplify and determine C / Rc. Draw the signal flow diagram for this system.

10 The resulting limiting error e_T for the product c) power of a factors AT having limiting errors da_1 andða_2 is. AT = (a" am) ) %3! er = + m.e + n %3D er = + m.er + ner es = ± [naj. e, + mazez ] er = ± (ne, + me2

FINDING THE TRANSFER FUNCTIONS

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During the first month of work, you get an assignment to perform a measurement campaign to estimate the channel path loss exponent for a new wireless product. You performed field measurements and collected the following data: Reference path loss: PL(d0) Path loss measurements: PL (d1), PL (d2), ... PL (dn), at distances d1 … dn Using the path loss exponent model, find an expression for the optimum value of the path loss exponent n, which minimizes the mean square error between measurements and the model. Hint: the optimum value of n should minimize the mean square error (MSE) between your predicted path loss and measured path loss.

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Explain the principle of 'source transformation'.

A phase modulator has a phase deviation constant Kp = 35 degrees/V. The carrier signal is ec = 8cos2(pi)(800k)t, volts and the modulating signal is em = 5sin2(pi)(2000)t, volts.   a. What is the equation of the PM signal? b. What is the maximum phase deviation? c. What is the amount of deviation in the carrier phase angle at t = 160 micro-s?

n Which of the following statements is not correct: O a. A first-order PLL can track a phase step with a zero steady-state error. O b. A first-order PLL can track a frequency step with a zero steady-state error. Oc. A second-order PLL can track a frequency step with zero steady-state error. O d. A third-order PLL can track a frequency step with zero steady-state error.

Question is attached a) Find an expression for Vout/Vs (i.e. voltage gain from signal to load) using given parameters Rs, Rin, Rout, RL and Kv. (Hint: You can use Vout/Vs = (Vout/Vin) ×(Vin/Vs))b) Let’s say Rs = 10kΩ, Rin = 1kΩ, Rout = 100kΩ, RL = 100Ω, Kv = 100. Find Vout/Vs. Assume that we are not able to change Rs, RL and Kv. How can we achieve higher Vout/Vs? Discuss whether large or small resistors values are desirable for Rin and Rout in order to obtain high voltage gain from signal to load? Explain based on your expression from part a).

The pathway for a binary electrical signal between gates in an integrated circuit can be modeled as an RC circuit, as shown in the figure to the right; the voltage source models the transmitting gate, and the R. capacitor models the receiving gate. Suppose the resistance is 400 2 and the capacitance is 10 - 11 F (10 picofarads, pF). If the capacitor is initially uncharged and the transmitting gate changes instantaneously from 0 to 4 V, how long will it take for the voltage at the receiving gate to reach 3 V? E What is the charge q(t) on the capacitor at time t? q(t) =

Please answer ASAP Given these graphs, estimate: a.) the storage time or delay time ts (in ns) b.) the fall time or rise time tr (in ns)

Q5: Given X(k)= {6, j1.4142, 0, j1.4142, 2,-j1.4142, 0,-j1.4142} Find x(n) using DIF - IFFT Algorithm.

What are the new equations [similar to Eqs.)] for τ PHL and τ PLH for VDD = 3.3 V, VTN = 0.75 V, and VTP = −0.75 V?