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Question 7 10 pts 4 cos(ut + 60° Given two signals, v1 - 20cos(wt -30%) and...
Problem 4.(30 pts) Given the analog signal x(t) cos(2 cos(3t)+2 sin(4mt) A.(10 pts) Find the Nyquist...
Problem 4.(30 pts) Given the analog signal x(t) cos(2 cos(3t)+2 sin(4mt) A.(10 pts) Find the Nyquist frequency (sampling frequency) which guarantees That x() can be recovered from it's sampled version xIn] with no aliasing. B.(10 pts) If the sampling period of Ts 0.4 see is used identify all discrete frequencies Of the signal x(t), also indicate if this sampling period is adequate to recover x(t) from xn] C.(10 pts) Suppose signal x(t) is modulated by signal e(t) = cos(2000mt) what...
Question 4 (35 points). Two message signals, ?1 (?) = 200??(100??) cos(103πt) volts and ?2 (?)...
Question 4 (35 points). Two message signals, ?1 (?) =
200??(100??) cos(103πt) volts and ?2 (?) = 900??2 (450??)
cos(103πt) volts, are required to be combined and then transmitted
over a channel around 2 MHz using amplitude double-side modulation.
We assume that the channel is ideal with no delay and no
attenuation. Design a system consisting of mixers, filters, etc. to
transmit and restore perfectly these two signals (i.e. ?1 (?) and
?2 (?)) at the receiving side after the...
Question 10 6.25 pts A continuous-time signal is given by X(t) = cos(27[C]t) + sin(27[C]t) where...
Question 10 6.25 pts A continuous-time signal is given by X(t) = cos(27[C]t) + sin(27[C]t) where C=6.24 Rewrite x(t) as X(t) = A cos(wt + o) where -1 << Enter the value of the fundamental period T in seconds; Enter your answer with three decimal places accuracy.
1. (i) In a circuit, the voltage is given by: Vs (t) 12 cos(50t10) V (a)...
1. (i) In a circuit, the voltage is given by: Vs (t) 12 cos(50t10) V (a) What is the amplitude of the voltage? (b) What is the phase of the voltage? (c) What is the angular frequency (radians/sec.) of the voltage? (d) What is the frequency (in cycles/sec.) of the voltage? (e) Determine vs (t) at time t 2.5ms (ii) Given v1(t)cos(50t 50°) V and v2(t) 12 sin(50t 10°) V, determine the phase angle between the two sinusoids and determine...
Question 1: (16 points: 4 pts each) A 45 wt% Pb - 55 wt% Mg alloy...
Question 1: (16 points: 4 pts each) A 45 wt% Pb - 55 wt% Mg alloy is slowly cooled from 700°C to 400 °C. (a) At what temperature does the first solid phase form? (b) What is the composition of this solid phase? c) At what temperature does the liquid solidify? (d) What is the composition of this last remaining liquid phase? Composition (at% Pb) 10 20 30 40 70 100 700 L 600 L + MezPo M 500 400...
1 words 2 pts Question 4 Given that P, = 10 W; T = 30°C, 1...
1 words 2 pts Question 4 Given that P, = 10 W; T = 30°C, 1 = 2 Mbps; B = 400 kHz: T. = 285 K. What is the signal noise density power, No. (in dBW) in the amplifier? BIVALE: 1XXE - 2 12pt - Paragraph
1 pts Question 2 Your work with decrete me signal that has 10 samples, and discrete...
1 pts Question 2 Your work with decrete me signal that has 10 samples, and discrete time signal h[lejthat has 5 samples. You want to coryte the coolution of these two signals f.e. [4] [k]) by taking the FFT of each signal, multiplying in the frequency domain and then taking an IAFT. To do this, you must first zero-pad the signals to ensure linear (and not circular) convolution is performed. After you zero pad each signal with the minimum required...
2. (30 pts) A signal 7: n İs applied lo an ll.l system I (hi [n) outputting y1,,,and il is also a...
2. (30 pts) A signal 7: n İs applied lo an ll.l system I (hi [n) outputting y1,,,and il is also applied to an LTI system 2 (h2n) outputng Then te sum of nnl and s applied to an LTI systcm 3 (hsln) oulputting n The relationships are given in the following cquations. Assume thaforn < 0 (a) (15 pts) Find the valo e impulse respsofte system 3 (b) (15 pts) Find the valucof the impulse response of the t...
ANSWER ALL PLEASE Question 20 2 pts In the Figure below, V1 = 14 V, V2...
ANSWER ALL PLEASE
Question 20 2 pts In the Figure below, V1 = 14 V, V2 = 8 V, V3 = 10 V, R1 = 2.00, R2 = 4.0, and R3 = 2.00 Find the electric currents is, iz, and is. (Hint: use the junction a and the two loops). RI R 14 M4 Equations: Kirchoff's Junction (node) rule: 11 = 12 + iz Kirchoff's Loop rule (left loop): V1 - iRi - iz R2 + V2 = 0 Kirchoffs...
Problem 4 (30 pts) This problem explores the sampling theorem and its consequences. Consider the system...
Problem 4 (30 pts) This problem explores the sampling theorem and its consequences. Consider the system shown in the figure below, where the two input signals are given to be xi(t) = sinc(10t) and x2(t) = sinc(6t). ylt) z(t) LTI →2;(+) ht) Xalt) P(+) - E81-nt) a) State the sampling theorem. Be sure to include all conditions for its validity. (5 pts) b) What is the minimum frequency at which y(t) must be sampled such that it could be completely...
Problem 4.(30 pts) Given the analog signal x(t) cos(2 cos(3t)+2 sin(4mt) A.(10 pts) Find the Nyquist frequency (sampling frequency) which guarantees That x() can be recovered from it's sampled version xIn] with no aliasing. B.(10 pts) If the sampling period of Ts 0.4 see is used identify all discrete frequencies Of the signal x(t), also indicate if this sampling period is adequate to recover x(t) from xn] C.(10 pts) Suppose signal x(t) is modulated by signal e(t) = cos(2000mt) what...
Question 4 (35 points). Two message signals, ?1 (?) =
200??(100??) cos(103πt) volts and ?2 (?) = 900??2 (450??)
cos(103πt) volts, are required to be combined and then transmitted
over a channel around 2 MHz using amplitude double-side modulation.
We assume that the channel is ideal with no delay and no
attenuation. Design a system consisting of mixers, filters, etc. to
transmit and restore perfectly these two signals (i.e. ?1 (?) and
?2 (?)) at the receiving side after the...
Question 10 6.25 pts A continuous-time signal is given by X(t) = cos(27[C]t) + sin(27[C]t) where C=6.24 Rewrite x(t) as X(t) = A cos(wt + o) where -1 << Enter the value of the fundamental period T in seconds; Enter your answer with three decimal places accuracy.
1. (i) In a circuit, the voltage is given by: Vs (t) 12 cos(50t10) V (a) What is the amplitude of the voltage? (b) What is the phase of the voltage? (c) What is the angular frequency (radians/sec.) of the voltage? (d) What is the frequency (in cycles/sec.) of the voltage? (e) Determine vs (t) at time t 2.5ms (ii) Given v1(t)cos(50t 50°) V and v2(t) 12 sin(50t 10°) V, determine the phase angle between the two sinusoids and determine...
Question 1: (16 points: 4 pts each) A 45 wt% Pb - 55 wt% Mg alloy is slowly cooled from 700°C to 400 °C. (a) At what temperature does the first solid phase form? (b) What is the composition of this solid phase? c) At what temperature does the liquid solidify? (d) What is the composition of this last remaining liquid phase? Composition (at% Pb) 10 20 30 40 70 100 700 L 600 L + MezPo M 500 400...
1 words 2 pts Question 4 Given that P, = 10 W; T = 30°C, 1 = 2 Mbps; B = 400 kHz: T. = 285 K. What is the signal noise density power, No. (in dBW) in the amplifier? BIVALE: 1XXE - 2 12pt - Paragraph
1 pts Question 2 Your work with decrete me signal that has 10 samples, and discrete time signal h[lejthat has 5 samples. You want to coryte the coolution of these two signals f.e. [4] [k]) by taking the FFT of each signal, multiplying in the frequency domain and then taking an IAFT. To do this, you must first zero-pad the signals to ensure linear (and not circular) convolution is performed. After you zero pad each signal with the minimum required...
2. (30 pts) A signal 7: n İs applied lo an ll.l system I (hi [n) outputting y1,,,and il is also applied to an LTI system 2 (h2n) outputng Then te sum of nnl and s applied to an LTI systcm 3 (hsln) oulputting n The relationships are given in the following cquations. Assume thaforn < 0 (a) (15 pts) Find the valo e impulse respsofte system 3 (b) (15 pts) Find the valucof the impulse response of the t...
ANSWER ALL PLEASE
Question 20 2 pts In the Figure below, V1 = 14 V, V2 = 8 V, V3 = 10 V, R1 = 2.00, R2 = 4.0, and R3 = 2.00 Find the electric currents is, iz, and is. (Hint: use the junction a and the two loops). RI R 14 M4 Equations: Kirchoff's Junction (node) rule: 11 = 12 + iz Kirchoff's Loop rule (left loop): V1 - iRi - iz R2 + V2 = 0 Kirchoffs...
Problem 4 (30 pts) This problem explores the sampling theorem and its consequences. Consider the system shown in the figure below, where the two input signals are given to be xi(t) = sinc(10t) and x2(t) = sinc(6t). ylt) z(t) LTI →2;(+) ht) Xalt) P(+) - E81-nt) a) State the sampling theorem. Be sure to include all conditions for its validity. (5 pts) b) What is the minimum frequency at which y(t) must be sampled such that it could be completely...
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