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2-a) Find the operating point of the nonlinear 3-T element 2-b) Find small signal components of...
3. (30 points) A binary communication system transmits signals s(t) (i 1,2). The receiver samples the received signal r(t) s(t) + n(t) at T and obtain the decision statistic r(T) S (T) n(T) a + n...
3. (30 points) A binary communication system transmits signals s(t) (i 1,2). The receiver samples the received signal r(t) s(t) + n(t) at T and obtain the decision statistic r(T) S (T) n(T) a + n, where the signal component is either an +A or a2-A with A >0 and n is the noise component. Assume that s1 (t) and s2(t) are equally likely to be transmitted and the decision threshold is chosen as zero. If A 1 and the...
5. Consider the nonlinear two dimensional Lotka-Volterra (predator-prey) system z'(t) = z(t)[2-2(...
5. Consider the nonlinear two dimensional Lotka-Volterra (predator-prey) system z'(t) = z(t)[2-2(t)-2y(t)l, y'(t) = y(t)12-y(t)--2(t)] (a) Find all critical points of this system, and at each determine whether or not the system is locally stable or unstable. (b) We proved in class, using the Bendixson-Dulac theorem, that this system has no periodic solution with trajectory in the first quadrant of the plane. Assuming this, use the Poincare-Bendixson theorem to prove that all trajectories (z(t),y(t)) of the system (2) with initial...
1. DSC-SC Modulation. Consider a message signal m(t) = 3 sinc(10t) this is applied to a...
1. DSC-SC Modulation. Consider a message signal m(t) = 3 sinc(10t) this is applied to a product modulator with a carrier wave c(t) = 2 cos(100nt). (a) (5 points) Find and plot the Fourier transform S(f) of the DSB-SC modulated signal s(t). (b) (5 points) What is the bandwidth of s(t)? (c) (5 points) The signal s(t) is next applied to filter h(t), the output of the filter is named y(t). Now assume that I $2/300, If|< 30, H(f) =...
The circuit below is a common collector (CC) circuit. Assuming VBEON VA, and ß - 100, , VCE.SAT 0.2V, VA 00 Calculate the transistor operating point. a. 1 b. Find the small signal voltage gain, 。 Fi...
The circuit below is a common collector (CC) circuit.
Assuming VBEON VA, and ß - 100, , VCE.SAT 0.2V, VA 00 Calculate the transistor operating point. a. 1 b. Find the small signal voltage gain, 。 Find the driving point input resistance. c. d. If the input is a sinewave, find the maximum output voltage amplitude before clıpping sets in. B1 CO Q1 RE v,RB2
Assuming VBEON VA, and ß - 100, , VCE.SAT 0.2V, VA 00 Calculate the transistor...
5. Consider the nonlinear two dimensional Lotka-Volterra (predator-prey) system z'(t) = z(t)[2-2(t)-2y(t)l, y'(t) = y(t)12-y(t)--2(t)] (a)...
5. Consider the nonlinear two dimensional Lotka-Volterra (predator-prey) system z'(t) = z(t)[2-2(t)-2y(t)l, y'(t) = y(t)12-y(t)--2(t)] (a) Find all critical points of this system, and at each determine whether or not the system is locally stable or unstable. (b) We proved in class, using the Bendixson-Dulac theorem, that this system has no periodic solution with trajectory in the first quadrant of the plane. Assuming this, use the Poincare-Bendixson theorem to prove that all trajectories (z(t),y(t)) of the system (2) with initial...
Problem 2: For the signal g(t) t, a) (25 points) Find the exponential Fourier series to...
Problem 2: For the signal g(t) t, a) (25 points) Find the exponential Fourier series to represent g(t) over the interval (-π, π). Sketch the spectra (amplitude and phase of Fourier series coefficients). b) (25 points) Find the average power of g(t) within interval (- ,r). Using this result and given that Σ00.-6, verify the Parseval's theorem
5. Consider the following message signal: m(t) -2 .3 10 Assume that the carrier frequency is f ar...
5. Consider the following message signal: m(t) -2 .3 10 Assume that the carrier frequency is f are kf = 105, kp-25 respectively. 108 Hz, and frequency and phase deviation constants Find the maximum and minimum frequency deviation for FM, and sketch the FM wave for a duration of 103 seconds shown in the above figure (5 points). a. b. Find the maximum and minimum frequency deviation for PM, sketch the PM wave for a duration of 103 seconds shown...
ECE3204 F19 HW-3 Due: Wed. 10/2/2019 3 Problem 1: Find and sketch c(t) = f(t)* 12(t)...
ECE3204 F19 HW-3 Due: Wed. 10/2/2019 3 Problem 1: Find and sketch c(t) = f(t)* 12(t) for the pairs of functions illustrated below 2₂ (1) ECE3204 F19 HW-3 Due: Wed. 10/2/ Problem 3: By direct integration find the Laplace transform of the signal x(t) given by: cos(1) 0<t< x(1) = 10 elsewhere Note that cos(t) = (alt+e)
For good rating provide correct and full solution 6.8 (a) Find the operating point of the...
For
good rating provide correct and full solution
6.8 (a) Find the operating point of the pMOSFET of Fig. P6.8 if k, 50 μΑ/V2, W 10 μm, hi 24, 0.6 V, and λ 0.05 v-1. Hint: assume λ-0 for dc analysis, and use iterations 5 V -5 V FIGURE P6.8 (b) Find the element values in the small-signal model of the MOSFET and show the final circuit, given that Cox = 3.6 /μ㎡, Lov- 55 . C,,-Clto = 25 fF,...
6. Signal x()- exp(-t) u() and signal ho) is as shown. (a) Express h(t) in terms of ramp functions only 2 O2 3 4 (b) Find y(t) x(t)*h(t) 0) 6. Signal x()- exp(-t) u() and signal ho) is as sh...
6. Signal x()- exp(-t) u() and signal ho) is as shown. (a) Express h(t) in terms of ramp functions only 2 O2 3 4 (b) Find y(t) x(t)*h(t) 0)
6. Signal x()- exp(-t) u() and signal ho) is as shown. (a) Express h(t) in terms of ramp functions only 2 O2 3 4 (b) Find y(t) x(t)*h(t) 0)
3. (30 points) A binary communication system transmits signals s(t) (i 1,2). The receiver samples the received signal r(t) s(t) + n(t) at T and obtain the decision statistic r(T) S (T) n(T) a + n, where the signal component is either an +A or a2-A with A >0 and n is the noise component. Assume that s1 (t) and s2(t) are equally likely to be transmitted and the decision threshold is chosen as zero. If A 1 and the...
5. Consider the nonlinear two dimensional Lotka-Volterra (predator-prey) system z'(t) = z(t)[2-2(t)-2y(t)l, y'(t) = y(t)12-y(t)--2(t)] (a) Find all critical points of this system, and at each determine whether or not the system is locally stable or unstable. (b) We proved in class, using the Bendixson-Dulac theorem, that this system has no periodic solution with trajectory in the first quadrant of the plane. Assuming this, use the Poincare-Bendixson theorem to prove that all trajectories (z(t),y(t)) of the system (2) with initial...
1. DSC-SC Modulation. Consider a message signal m(t) = 3 sinc(10t) this is applied to a product modulator with a carrier wave c(t) = 2 cos(100nt). (a) (5 points) Find and plot the Fourier transform S(f) of the DSB-SC modulated signal s(t). (b) (5 points) What is the bandwidth of s(t)? (c) (5 points) The signal s(t) is next applied to filter h(t), the output of the filter is named y(t). Now assume that I $2/300, If|< 30, H(f) =...
The circuit below is a common collector (CC) circuit.
Assuming VBEON VA, and ß - 100, , VCE.SAT 0.2V, VA 00 Calculate the transistor operating point. a. 1 b. Find the small signal voltage gain, 。 Find the driving point input resistance. c. d. If the input is a sinewave, find the maximum output voltage amplitude before clıpping sets in. B1 CO Q1 RE v,RB2
Assuming VBEON VA, and ß - 100, , VCE.SAT 0.2V, VA 00 Calculate the transistor...
5. Consider the nonlinear two dimensional Lotka-Volterra (predator-prey) system z'(t) = z(t)[2-2(t)-2y(t)l, y'(t) = y(t)12-y(t)--2(t)] (a) Find all critical points of this system, and at each determine whether or not the system is locally stable or unstable. (b) We proved in class, using the Bendixson-Dulac theorem, that this system has no periodic solution with trajectory in the first quadrant of the plane. Assuming this, use the Poincare-Bendixson theorem to prove that all trajectories (z(t),y(t)) of the system (2) with initial...
Problem 2: For the signal g(t) t, a) (25 points) Find the exponential Fourier series to represent g(t) over the interval (-π, π). Sketch the spectra (amplitude and phase of Fourier series coefficients). b) (25 points) Find the average power of g(t) within interval (- ,r). Using this result and given that Σ00.-6, verify the Parseval's theorem
5. Consider the following message signal: m(t) -2 .3 10 Assume that the carrier frequency is f are kf = 105, kp-25 respectively. 108 Hz, and frequency and phase deviation constants Find the maximum and minimum frequency deviation for FM, and sketch the FM wave for a duration of 103 seconds shown in the above figure (5 points). a. b. Find the maximum and minimum frequency deviation for PM, sketch the PM wave for a duration of 103 seconds shown...
ECE3204 F19 HW-3 Due: Wed. 10/2/2019 3 Problem 1: Find and sketch c(t) = f(t)* 12(t) for the pairs of functions illustrated below 2₂ (1) ECE3204 F19 HW-3 Due: Wed. 10/2/ Problem 3: By direct integration find the Laplace transform of the signal x(t) given by: cos(1) 0<t< x(1) = 10 elsewhere Note that cos(t) = (alt+e)
For
good rating provide correct and full solution
6.8 (a) Find the operating point of the pMOSFET of Fig. P6.8 if k, 50 μΑ/V2, W 10 μm, hi 24, 0.6 V, and λ 0.05 v-1. Hint: assume λ-0 for dc analysis, and use iterations 5 V -5 V FIGURE P6.8 (b) Find the element values in the small-signal model of the MOSFET and show the final circuit, given that Cox = 3.6 /μ㎡, Lov- 55 . C,,-Clto = 25 fF,...
6. Signal x()- exp(-t) u() and signal ho) is as shown. (a) Express h(t) in terms of ramp functions only 2 O2 3 4 (b) Find y(t) x(t)*h(t) 0)
6. Signal x()- exp(-t) u() and signal ho) is as shown. (a) Express h(t) in terms of ramp functions only 2 O2 3 4 (b) Find y(t) x(t)*h(t) 0)
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