Homework Answers
Fourier transform can be used to analyse the given signal.
As the signal is continuous so Discrete-time Fourier transform (DTFT) and Discrete Fourier transform (DFT) cannot be used to analyse the signal.
As the signal is not showing periodicity so Fourier series cannot be used to analyse the signal.Fourier series, is a representation of a summation of a potentially infinite number of harmonically related sinusoids each with an amplitude and phase.
So above signal can be analysed with Fourier transform which is transformation of functions of a continuous real argument, and it produces a continuous function of frequency, known as a frequency distribution.
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What type of Fourier analysis technique can be used to analyze the signal in Figure 2?...
Name 2. (10 points) a) Find an expression for the Fourier Transform of the signal use...
Name 2. (10 points) a) Find an expression for the Fourier Transform of the signal use the tables provided. illutrated below- you may 1.5p 0.5 05 2 1.5 1 0.5 0 0.51 1.5 2 b) Using your result from part (a), find an expression for the Fourier Transform of the signal c) Using your result from part (a), find an expression for the Fourier Transform of the signal d) Note that the signal p(o) illustrated below can be expressed as...
10ρ 18ρ A signal (t) has the Fourier transform X(jw) indicated in the figure. The signal is sampled to obtain the discrete time signal 1. Sketch the Fourier transform Xr(jw) of x[n] for T-to. 2. Can...
10ρ 18ρ A signal (t) has the Fourier transform X(jw) indicated in the figure. The signal is sampled to obtain the discrete time signal 1. Sketch the Fourier transform Xr(jw) of x[n] for T-to. 2. Can x(t) be recovered for T? How? What is the maximum value of T so that r(t) can be recovered?
10ρ 18ρ A signal (t) has the Fourier transform X(jw) indicated in the figure. The signal is sampled to obtain the discrete time signal 1....
Given, (i) In MATLAB, analyze the signal by performing Fourier Transform for -pi <= 0 <=...
Given,
(i) In MATLAB, analyze the signal by performing Fourier
Transform for -pi <= 0 <= pi. ("<=" represent less than or
equal to)
(ii) Comment on your observation.
x[n] 2cos ((/5)n)3sin((n/10)n)
Don't need to do #1. Please go into detail on how you solved #2 and #3 The Fourier transform of the signal r(t) is given by the following figure (X(jw)0 for w> 20) X(ju) 0.8 0.6 0.4 0.2 -10 10...
Don't need to do #1. Please go into detail on how you solved #2
and #3
The Fourier transform of the signal r(t) is given by the following figure (X(jw)0 for w> 20) X(ju) 0.8 0.6 0.4 0.2 -10 10 20 m Page 4 of 5 Final S09 EE315 Signals & Systems The signal is sampled to obtain the signal withFourier transform Xlw 1. (5p) What is the minimum sampling frequency w 2. (10p) Now suppose that the sampling frequency...
Analyze the circuit below using any circuit analysis technique of your choice (Nodal / Mesh /...
Analyze the circuit below using any circuit analysis technique
of your choice (Nodal / Mesh / Source Transformation /
Superposition) to solve for Vo. The bottom node should be
considered as the reference node for your analysis. Write your
final answers in the boxes. Name of Technique used -
[3] (20 points) Analyze the circuit below using any circuit analysis technique of your choice (Nodal /Mesh / Source Transformation/Superposition) to solve for Vo. The bottom node should be considered as...
(b) Let X(ju) denote the Fourier transform of the signal r(t) shown in the figure x(t) 2 -2 1 2 Using the properties of the Fourier transform (and without explicitly evaluating X(jw)), ii. (5 pts)...
(b) Let X(ju) denote the Fourier transform of the signal r(t) shown in the figure x(t) 2 -2 1 2 Using the properties of the Fourier transform (and without explicitly evaluating X(jw)), ii. (5 pts) Find2X(jw)dw. Hint: Apply the definition of the inverse Fourier transform formula, and you can also recall the time shift property for Fourier Transform. (c) (5 pts) Fourier Series. Consider the periodic signal r(t) below: 1 x(t) 1 -2 ·1/4 Transform r(t) into its Fourier Series...
Classify the following signals below. For each signal provide a brief discussion about the conclusions presented:...
Classify the following signals below. For each signal provide a
brief discussion about the conclusions presented:
- Does the signal have energy, power, or neither?
- Is the signal Deterministic or random?
t sin(200nt) x[n] = ein A B 60 250 40 200 20 150 0 um w 100 -20 50 -40 1-15 -10 -5 0 5 10 0 -50 5 0 50 C D 1 0.8 0.5 0.6 Lilar lolit 0.4 0 0.2 m 0 -0.5 -0.2 0.4 -0.6...
Kindly provide calculation and show each step. Thanks (a) Given the signal x(t) in Figure 2,...
Kindly provide calculation and show each step. Thanks
(a) Given the signal x(t) in Figure 2, sketch the signal for: xit) 12 10 - 2- 0.2 0.4 0.6 2 14 1.6 1.8 2 0.8 Figure 2 i. x(t+2) [4 Marks] ii. x(t/3) [4 Marks] iii. x(2t) [4 Marks] iv. -X(t) [4 Marks] (b) Given the signal x(t) in Figure 3, sketch the signal for x-(2t-2): xit 25 2 1.5 1 0.5 -0.5 0.5 1 1.5 2 2.5 3.5 Figure 3...
Please finish these questions. Thank you Given find the Fourier transform of the following: (a) e dt 2T(2 1) 4 cos (2t) (Using properties of Fourier Transform to find) a) Suppose a signal m(t) is giv...
Please finish these questions. Thank you
Given find the Fourier transform of the following: (a) e dt 2T(2 1) 4 cos (2t) (Using properties of Fourier Transform to find) a) Suppose a signal m(t) is given by m()-1+sin(2 fm) where fm-10 Hz. Sketch the signal m(t) in time domain b) Find the Fourier transform M(jo) of m(t) and sketch the magnitude of M(jo) c) If m(t) is amplitude modulated with a carrier signal by x(t)-m(t)cos(27r f,1) (where fe-1000 Hz), sketch...
Problem 2 125 Marks Given the following periodic signal: 5-3-2 e) a- Find the trigonometric Fourier...
Problem 2 125 Marks Given the following periodic signal: 5-3-2 e) a- Find the trigonometric Fourier series, sketch the amplitude, and phase spectra. [15 Marks] Student b- Does the signal has a de component? Exp Explain. [5 Marks] If you are given the signal x(t) = tu (t). Can we write the Fourier series of the signal in the period 0 t < 1? Explain. [5 Marks] c-
Name 2. (10 points) a) Find an expression for the Fourier Transform of the signal use the tables provided. illutrated below- you may 1.5p 0.5 05 2 1.5 1 0.5 0 0.51 1.5 2 b) Using your result from part (a), find an expression for the Fourier Transform of the signal c) Using your result from part (a), find an expression for the Fourier Transform of the signal d) Note that the signal p(o) illustrated below can be expressed as...
10ρ 18ρ A signal (t) has the Fourier transform X(jw) indicated in the figure. The signal is sampled to obtain the discrete time signal 1. Sketch the Fourier transform Xr(jw) of x[n] for T-to. 2. Can x(t) be recovered for T? How? What is the maximum value of T so that r(t) can be recovered?
10ρ 18ρ A signal (t) has the Fourier transform X(jw) indicated in the figure. The signal is sampled to obtain the discrete time signal 1....
Given,
(i) In MATLAB, analyze the signal by performing Fourier
Transform for -pi <= 0 <= pi. ("<=" represent less than or
equal to)
(ii) Comment on your observation.
x[n] 2cos ((/5)n)3sin((n/10)n)
Don't need to do #1. Please go into detail on how you solved #2
and #3
The Fourier transform of the signal r(t) is given by the following figure (X(jw)0 for w> 20) X(ju) 0.8 0.6 0.4 0.2 -10 10 20 m Page 4 of 5 Final S09 EE315 Signals & Systems The signal is sampled to obtain the signal withFourier transform Xlw 1. (5p) What is the minimum sampling frequency w 2. (10p) Now suppose that the sampling frequency...
Analyze the circuit below using any circuit analysis technique
of your choice (Nodal / Mesh / Source Transformation /
Superposition) to solve for Vo. The bottom node should be
considered as the reference node for your analysis. Write your
final answers in the boxes. Name of Technique used -
[3] (20 points) Analyze the circuit below using any circuit analysis technique of your choice (Nodal /Mesh / Source Transformation/Superposition) to solve for Vo. The bottom node should be considered as...
(b) Let X(ju) denote the Fourier transform of the signal r(t) shown in the figure x(t) 2 -2 1 2 Using the properties of the Fourier transform (and without explicitly evaluating X(jw)), ii. (5 pts) Find2X(jw)dw. Hint: Apply the definition of the inverse Fourier transform formula, and you can also recall the time shift property for Fourier Transform. (c) (5 pts) Fourier Series. Consider the periodic signal r(t) below: 1 x(t) 1 -2 ·1/4 Transform r(t) into its Fourier Series...
Classify the following signals below. For each signal provide a
brief discussion about the conclusions presented:
- Does the signal have energy, power, or neither?
- Is the signal Deterministic or random?
t sin(200nt) x[n] = ein A B 60 250 40 200 20 150 0 um w 100 -20 50 -40 1-15 -10 -5 0 5 10 0 -50 5 0 50 C D 1 0.8 0.5 0.6 Lilar lolit 0.4 0 0.2 m 0 -0.5 -0.2 0.4 -0.6...
Kindly provide calculation and show each step. Thanks
(a) Given the signal x(t) in Figure 2, sketch the signal for: xit) 12 10 - 2- 0.2 0.4 0.6 2 14 1.6 1.8 2 0.8 Figure 2 i. x(t+2) [4 Marks] ii. x(t/3) [4 Marks] iii. x(2t) [4 Marks] iv. -X(t) [4 Marks] (b) Given the signal x(t) in Figure 3, sketch the signal for x-(2t-2): xit 25 2 1.5 1 0.5 -0.5 0.5 1 1.5 2 2.5 3.5 Figure 3...
Please finish these questions. Thank you
Given find the Fourier transform of the following: (a) e dt 2T(2 1) 4 cos (2t) (Using properties of Fourier Transform to find) a) Suppose a signal m(t) is given by m()-1+sin(2 fm) where fm-10 Hz. Sketch the signal m(t) in time domain b) Find the Fourier transform M(jo) of m(t) and sketch the magnitude of M(jo) c) If m(t) is amplitude modulated with a carrier signal by x(t)-m(t)cos(27r f,1) (where fe-1000 Hz), sketch...
Problem 2 125 Marks Given the following periodic signal: 5-3-2 e) a- Find the trigonometric Fourier series, sketch the amplitude, and phase spectra. [15 Marks] Student b- Does the signal has a de component? Exp Explain. [5 Marks] If you are given the signal x(t) = tu (t). Can we write the Fourier series of the signal in the period 0 t < 1? Explain. [5 Marks] c-
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