Example 17.2 Obtain the Fourier series for the periodic function in Fig. 17.7 and plot the amplitude and phase spectra. -2 -1 o 1 2 3 1 Figure 17.7 For Example 17.2.
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- Question 2 please.Given the periodic function and its graph is displayed below. ao a2k -5 b2k-1 92k-1= 0 where I is the half-period of the function. - b2k -1 The function may be approximated by the Fourier series for k = 1, 2,... f(z) 5/2 y 21 0 1 Calculate the coefficients of the Fourier series and enter them below in Maple syntax. -8 23 0 f(x+8) f(x) = ap + Σq=1 cos (17²) + bn sin (¹7²)). 0≤ and <4 4≤ and < 8 otherwise 5 3 X X 3 PO 10 1 15у R[0, 1] be the set of all Riemann defined on [0,1] and Let Integrable functions Let & be defned by d (hy) = So I fa - gwoldx for all points PigeR[0, 1]. Explain why is (R50, (I) / not a metric space
- Example: find the complex Fourier expansion of the periodic function shown below COS X Cn - 1/2Question 2. The function f(t) is defined as follows f(t) = 1 + 4t+t²,0 < t ≤ 3. Define f(t), an odd periodic extension of f(t) and hence select the name of the appropriate Fourier half-range series representation of f(t). The Fourier representation of f(t) is called: the half-range sine series Enter the following values in the boxes below: = f(-2), P q= = ƒ (5), • T, the period of f(t). Enter p: Enter q: Enter T: îPlz answer ASAPFind the compact trigonometric Fourier series for the exponential e/2 shown in Fig. 2.2la over the interval 0Question 7 2a If the exponential Fourier transform of f(x) = e alxl Not yet answered Marked out of What is the Fourier transform of e alx *e bx| Flag question Oa. 4ab (a² +p²)(b² +p²) Ob. (a² + p?)(b² I p?) 2ab (a²+p²)(b² + p²) Od. (a² + p²)(b²+p²) 4.please solve it without mistake and AI. ThanksSEE MORE QUESTIONSRecommended textbooks for youAdvanced Engineering MathematicsAdvanced MathISBN:9780470458365Author:Erwin KreyszigPublisher:Wiley, John & Sons, Incorporated
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