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(10 points) This problem is related to Problem 9.31 in the text (a) A signal, s(t), with period T 5, is approximated by using the first few terms in the frequency domain by the following non-zero (co...
10 points) This problem is related to Problem 9.31 in the text (a) A signal, s(t). with period T ...
10 points) This problem is related to Problem 9.31 in the text (a) A signal, s(t). with period T 6, is approximated by using the first few terms in the frequency domain by the following non-zero (complex) Fourier coefficients (all others are zerol S(0)S(1) 1)) 3)5)-.nd the epproximation (t), where See Section 9.1.2 of the text) Write the answer es the sum of cosines with phese. There should be no complex numbers in your formula Ib) Using a MATLAB, graph...
(10 points) This problem is related to Problem 9.15 in the text. Consider the periodic function...
(10 points) This problem is related to Problem 9.15 in the text.
Consider the periodic function with period 16 given by
(10 points) This problem is related to Problem 9.15 in the text Consider the periodic function with period 16 given by if 8 t<-2 if 2 t4 if 4 t<7 if 7 t8 0 -6 f(t) = 6 0 Find the first 3 coefficients of the exponential Fourier Series for f(t), i.e., F(n) for n = -2, -1,0, 1,...
For the function y 1-x for 0 s x s 1 Graph the function's 3 periods 1) Find its formulas for the Fourier series and Fourier coefficients 2) Write out the first three non-zero terms of the Four...
For the function y 1-x for 0 s x s 1 Graph the function's 3 periods 1) Find its formulas for the Fourier series and Fourier coefficients 2) Write out the first three non-zero terms of the Fourier Series 3) 4) Graph the even extension of the function 5) Find the Fourier series and Fourier coefficients for the even extension 6) Write out the first three non-zero terms of the even Fourier series 7) Graph the odd extension of the...
Previous Problem Problem List Next Problem (10 points) This problem is related to Problems 9.33-9.38 in the text. We have solved differential equations using the method of undetermined coefficients (...
Previous Problem Problem List Next Problem (10 points) This problem is related to Problems 9.33-9.38 in the text. We have solved differential equations using the method of undetermined coefficients (Chapter 7) and Laplace transforms (Chapter 8). We can use Fourier series to find the particular solution of an arbitrary order differential equation - as long as the driving function is periodic and can be represented by a Fourier series In the problem description and answers, all numerical angles(phases) should be...
Problem 31: (34 points) 1. (10 points) A pulse width modulated (PWM) signal fPwM(t) in Figure...
Problem 31: (34 points) 1. (10 points) A pulse width modulated (PWM) signal fPwM(t) in Figure 2. The symbol D represents a duty cycle, a number between zero and one. Determine the compact trigonometric Fourier series coefficients (Co C,11 %) of the signal f(t). 2. (10 points) One use of PWM is to generate variable DC voltages. While the PWM signal is not DC, you should be able to see from your results in part 1 that it hss a...
10 points) This problem is related to Problem 9.31 in the text (a) A signal, s(t). with period T 6, is approximated by using the first few terms in the frequency domain by the following non-zero (complex) Fourier coefficients (all others are zerol S(0)S(1) 1)) 3)5)-.nd the epproximation (t), where See Section 9.1.2 of the text) Write the answer es the sum of cosines with phese. There should be no complex numbers in your formula Ib) Using a MATLAB, graph...
(10 points) This problem is related to Problem 9.15 in the text.
Consider the periodic function with period 16 given by
(10 points) This problem is related to Problem 9.15 in the text Consider the periodic function with period 16 given by if 8 t<-2 if 2 t4 if 4 t<7 if 7 t8 0 -6 f(t) = 6 0 Find the first 3 coefficients of the exponential Fourier Series for f(t), i.e., F(n) for n = -2, -1,0, 1,...
For the function y 1-x for 0 s x s 1 Graph the function's 3 periods 1) Find its formulas for the Fourier series and Fourier coefficients 2) Write out the first three non-zero terms of the Fourier Series 3) 4) Graph the even extension of the function 5) Find the Fourier series and Fourier coefficients for the even extension 6) Write out the first three non-zero terms of the even Fourier series 7) Graph the odd extension of the...
Previous Problem Problem List Next Problem (10 points) This problem is related to Problems 9.33-9.38 in the text. We have solved differential equations using the method of undetermined coefficients (Chapter 7) and Laplace transforms (Chapter 8). We can use Fourier series to find the particular solution of an arbitrary order differential equation - as long as the driving function is periodic and can be represented by a Fourier series In the problem description and answers, all numerical angles(phases) should be...
Problem 31: (34 points) 1. (10 points) A pulse width modulated (PWM) signal fPwM(t) in Figure 2. The symbol D represents a duty cycle, a number between zero and one. Determine the compact trigonometric Fourier series coefficients (Co C,11 %) of the signal f(t). 2. (10 points) One use of PWM is to generate variable DC voltages. While the PWM signal is not DC, you should be able to see from your results in part 1 that it hss a...
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