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Using MATLAB, synthesize the periodic waveform for which the Fourier trigonometric Fourier series is
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Fundamentals of Electric Circuits
- Find the Fourier series representation of the periodic function below. Then, evaluate the first few terms of the series up to n = 4 if x = 0.905. Round off the final answer to five decimal places. Add your answer -3.0+ -1.0+ -9.0 -8.0-7.0-6.0 -5.0-4.0-3.0-2.0-1.0 -1.0- -2.0+ -3.0+ 1.0 2.0 3.0 4.0 5.0 6.0 7.0 8.0 9.0 ______ ...arrow_forwardQ8/ The Fourier Transform for the following function shown in Figure (2) is --? -4 4 a) 2 sinc(4w) b) 4 sinc(4w) c) 16 sinc(4w) d) 32 sinc(4w)arrow_forwardGiven a periodic signal x(t) with Fourier series coefficients a Let y(t)-Dd/dt [(x(t)] (derivative) and y(t) has Fourier series coefficients by Select one: O bk=jkwo + ak None of the answers bk= -j k wo ak bx jk ak bx jk wo ak Next pagarrow_forward
- 1) What is the main difference between Fourier series and Fourier transform in circuit analysis periodic and non periodic waveform time domain and frequency domain O harmonic and non harmonic O all of the above are correctarrow_forwardAssume that there is a Fourier series converging to the function f(t) defined by the graph below -3 a. Determine the period and the mathematical function of the f(t). b. Determine if the above function is an even or odd function c. Determine the coefficients in this Fourier series. d. Use Matlab to plot the fourier series function and overlay it to the the original function. Select the number of terms n corresponding to your last 2 digits of your NIM.arrow_forwardWhat is the exponential Fourier series expression x(t) for the exponential Fourier spectra below? ICnl On -4-3 2arrow_forward
- c) Find the inverse Fourier Transform x(t) for the following signals by referring to the Fourier Tables of pair and property. i. X (@) = 10 25+w? -j3w e ii. X(@) = 2+jwarrow_forwardQ3/ Find the complex Fourier series for the periodic function fC) = 1 for 0sts1 -1 for -1stsO f(t)arrow_forwardQ2. Find the Fourier Transform of the following signals and sketch the magnitude and phase spectrum. 5Tn y(t) = 6+ 4cos + sin t +) + 7cos (t +) I need it's solution.arrow_forward
- Give proper explanation Please help with this question about the Fourier series. Show your solution and how to find a time period.arrow_forwardConsider the Fourier series for the periodic function: x(t) = sin(4t) + cos(8t) +7+ cos(16t). The Fourier coefficient C₂ of the exponential series is: Select one: O 0.5e-j/2 O 0.5em/2 O 0.5 O 0.5earrow_forwardThe Fourier series of a real periodic function has only 1) Cosine terms if it is even2) Sine terms if it is even3) Cosine terms if it is odd4) Sine terms if it is oddarrow_forward
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