![Q 2(a) -3, --<tso, [13 Marks] Q 2(b) Show that the Fourier series amplitude coefficients (Am) n-1,3,5, .., of x(t), as define](http://img.homeworklib.com/images/f7b7b214-fa3d-4550-b1af-9661fab2315f.png?x-oss-process=image/resize,w_560)
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Q 2(a) -3, --<tso, [13 Marks] Q 2(b) Show that the Fourier series amplitude coefficients (Am) n-1,3,5, .., of x(t), as defined in question Q2(a), decrease in value in proportion to 1/n. Q 2(a...
Fourier Series. Thank you in advance. Q 2(a) [6 Marks] (i) Sketch 3 successive cycles of the periodic function g(t):[4 marks) g() gt3). (ii) Is g(t)an even or odd function of? [2 marks] [14 Marks] (i...
Fourier Series. Thank you in advance.
Q 2(a) [6 Marks] (i) Sketch 3 successive cycles of the periodic function g(t):[4 marks) g() gt3). (ii) Is g(t)an even or odd function of? [2 marks] [14 Marks] (i) Show that the Fourier series coefficients of gl), as defined in part 2(a), may Q 2(b) [11 marks]: be written as follows 0, EVEN (ii) Obtain a value for the constant [3 marks] [5 Marks Q 2(c) What is the power, or mean-squared value,...
n=7 Question 3 3 pts Find the Fourier Sine series for the function defined by f(x)...
n=7
Question 3 3 pts Find the Fourier Sine series for the function defined by f(x) = { 0, 2n, 0 <*n n<<2n and write down, 1. The period T and the frequency wo of the Fourier Sine series 2. The coefficients for r = 1,2,3,...
Let x(t) = t, 0<t 1 and Fourier series coefficients a , be a periodic signal...
Let x(t) = t, 0<t 1 and Fourier series coefficients a , be a periodic signal with fundamental period of T 2 -t,-1t0 dz(t) a) Sketch the waveform of r(t)d3 marks) b) Calculate ao (3 marks) c) Determine the Fourier series representation of gt)(4 rks) d) Using the results from Part (c) and the property of continuous-time Fourier series to dr(t) determine the Fourier series coefficients of r(t) (4 marks)
n=2 Question 3 3 pts Find the Fourier Sine series for the function defined by 0<c<n...
n=2
Question 3 3 pts Find the Fourier Sine series for the function defined by 0<c<n f() = { 0, 2n, n<3 < 2n and write down, 1. The period T and the frequency wo of the Fourier Sine series 2. The coefficients bn for n = 1,2,3,...
A square wave of amplitude A and period T can be defined as -A, 5<t<0, with...
A square wave of amplitude A and period T can be defined as -A, 5<t<0, with f(t) = f(t + T), since the function is periodic. Compute the Fourier series for the function in the form f(t) = aneinwot, n=- where wo = 21/T and the coefficients an are the complex Fourier coefficients. Show all your work. Make a simple sketch of the signal and its series. The FIR filter is defined by the filter coefficients bk = [3,-1,2,1] Write...
How to find the fourier series and sketch the spectrum x(t) Help me to find the...
How to find the fourier series and sketch the spectrum
x(t)
Help me to find the laplace transform for a and b
Help me to find system response
Question 1 (8 marks) a) Determine the Fourier series coefficients of the periodic signal x(t) shown in Figure 1. Determine the de value of x(t)! b) Sketch the spectrum of x(t). x(t) -352 10 T2 31/2 -A Figure 1 O XU) RUOLO elsewhere exe(t) = el, a > 0 1) Sketch the...
1. (a) Evaluate the Fourier coefficients a, an, ba for the function defined as f)-2 cos() for-π/2...
1. (a) Evaluate the Fourier coefficients a, an, ba for the function defined as f)-2 cos() for-π/2 s sn2 and zero else over the period of 2T, do NOT use MATLAB or a calculator for integrations. All the steps should be shown. Write a few terms of the Fourier series expansion Plot 2 or 3 cycles of the Fourier series using MATLAB and verify whether the plot matches the given waveform Find Co and Cn and plot the amplitude spectrum...
Use MATLAB to solve this question: Lab Exercises: Fourier Series Coefficients 4 In this lab, the...
Use MATLAB to solve this question: Lab Exercises: Fourier Series Coefficients 4 In this lab, the objective is to create a set of functions that will enable us to do the following 1. Evaluate the Fourier Series coefficients for the following periodic signal which is defined over one period to be rt)240sin (100nt) for 0ts 1/100 (6) The period is 1/100 seconds. This signal is called a full-wave rectified sinusoid, because it contains only the positive lobe of the sinusoidal...
PLZ shows you Matlab Code X(t) 2 2 46 1. compute the Fourier Series coefficients, ck...
PLZ shows you Matlab Code
X(t) 2 2 46 1. compute the Fourier Series coefficients, ck for the signal x(t) 2. plot magnitude of c and the phase of ck in separate plots (use subplot command) plot the Fourier Series coefficients for the square wave signal: ck(12/9) sinc(2"k/3)
Question 3 (30 points) Consider the signals defined below: *:(t) = cos(2) xz(t) = cos(4+) a)...
Question 3 (30 points) Consider the signals defined below: *:(t) = cos(2) xz(t) = cos(4+) a) Determine the fundamental period for each signal. b) Determine the fundamental period and fundamental frequency of the signal: y(t) = x;(C)x(0) (t) and x2(c) when the fundamental frequency is c) Determine the Fourier Series coefficients of defined as determined in part (b). d) Using Parseval's relation, determine the power of xy(t) and xy(t) e) Determine and plot the Fourier Series Coefficients of y(t). Show...
Fourier Series. Thank you in advance.
Q 2(a) [6 Marks] (i) Sketch 3 successive cycles of the periodic function g(t):[4 marks) g() gt3). (ii) Is g(t)an even or odd function of? [2 marks] [14 Marks] (i) Show that the Fourier series coefficients of gl), as defined in part 2(a), may Q 2(b) [11 marks]: be written as follows 0, EVEN (ii) Obtain a value for the constant [3 marks] [5 Marks Q 2(c) What is the power, or mean-squared value,...
n=7
Question 3 3 pts Find the Fourier Sine series for the function defined by f(x) = { 0, 2n, 0 <*n n<<2n and write down, 1. The period T and the frequency wo of the Fourier Sine series 2. The coefficients for r = 1,2,3,...
Let x(t) = t, 0<t 1 and Fourier series coefficients a , be a periodic signal with fundamental period of T 2 -t,-1t0 dz(t) a) Sketch the waveform of r(t)d3 marks) b) Calculate ao (3 marks) c) Determine the Fourier series representation of gt)(4 rks) d) Using the results from Part (c) and the property of continuous-time Fourier series to dr(t) determine the Fourier series coefficients of r(t) (4 marks)
n=2
Question 3 3 pts Find the Fourier Sine series for the function defined by 0<c<n f() = { 0, 2n, n<3 < 2n and write down, 1. The period T and the frequency wo of the Fourier Sine series 2. The coefficients bn for n = 1,2,3,...
A square wave of amplitude A and period T can be defined as -A, 5<t<0, with f(t) = f(t + T), since the function is periodic. Compute the Fourier series for the function in the form f(t) = aneinwot, n=- where wo = 21/T and the coefficients an are the complex Fourier coefficients. Show all your work. Make a simple sketch of the signal and its series. The FIR filter is defined by the filter coefficients bk = [3,-1,2,1] Write...
How to find the fourier series and sketch the spectrum
x(t)
Help me to find the laplace transform for a and b
Help me to find system response
Question 1 (8 marks) a) Determine the Fourier series coefficients of the periodic signal x(t) shown in Figure 1. Determine the de value of x(t)! b) Sketch the spectrum of x(t). x(t) -352 10 T2 31/2 -A Figure 1 O XU) RUOLO elsewhere exe(t) = el, a > 0 1) Sketch the...
1. (a) Evaluate the Fourier coefficients a, an, ba for the function defined as f)-2 cos() for-π/2 s sn2 and zero else over the period of 2T, do NOT use MATLAB or a calculator for integrations. All the steps should be shown. Write a few terms of the Fourier series expansion Plot 2 or 3 cycles of the Fourier series using MATLAB and verify whether the plot matches the given waveform Find Co and Cn and plot the amplitude spectrum...
Use MATLAB to solve this question: Lab Exercises: Fourier Series Coefficients 4 In this lab, the objective is to create a set of functions that will enable us to do the following 1. Evaluate the Fourier Series coefficients for the following periodic signal which is defined over one period to be rt)240sin (100nt) for 0ts 1/100 (6) The period is 1/100 seconds. This signal is called a full-wave rectified sinusoid, because it contains only the positive lobe of the sinusoidal...
PLZ shows you Matlab Code
X(t) 2 2 46 1. compute the Fourier Series coefficients, ck for the signal x(t) 2. plot magnitude of c and the phase of ck in separate plots (use subplot command) plot the Fourier Series coefficients for the square wave signal: ck(12/9) sinc(2"k/3)
Question 3 (30 points) Consider the signals defined below: *:(t) = cos(2) xz(t) = cos(4+) a) Determine the fundamental period for each signal. b) Determine the fundamental period and fundamental frequency of the signal: y(t) = x;(C)x(0) (t) and x2(c) when the fundamental frequency is c) Determine the Fourier Series coefficients of defined as determined in part (b). d) Using Parseval's relation, determine the power of xy(t) and xy(t) e) Determine and plot the Fourier Series Coefficients of y(t). Show...
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