The periodic function so(t) with period 28 given by 0 if 14t<-3 if3 st< 14. 0 has the Fourier series defined by So(0) 0.214286 and for n 。 0.214286sin(n6/28) nT6/28 So(n) Use linearity and the...
The periodic function so (t) with period 28 given by 0 if-14 t<-2.5 80(t) = 〈 1 if _ 2.5 t < 2.5 0 if 2.5 t<14. has the Fourier series defined by So(0) = 0.178571 0 and for n 0.178571* sin(nT5/28) nT5/28 $(n) = Use linearity and the shifting property to find the Fourier Series fors(t), defined by 0 if -14st<-1 0 if9 St<14. S(0)- and for n S(n) 0 The periodic function so (t) with period 28 given...
The periodic function so(t) with period 28 given by if 14 t<-0.5 1 if _ 0.5 〈 t < 0.5 so(t)- 0if 0.5 t< 14. has the Fourier series defined by So(0)-0.0357143 and for n 0 0.0357143 * sin(nTl/28) nT1/28 Use linearity and the shifting property to find the Fourier Series for s(t), defined by f -14 t <4.5 -5 if 4.5 t< 5.5 3 if 5.5 t<6.5 if 6.5 < t < 14. s(t) S(0) and for n S(n)...
The periodic function so(t) with period 16 given by so(t) = 0 1 10 if – 8<t< -1 if –1<t<1 if 1 <t<8. has the Fourier series defined by S.(0) = 0.125 and for n +0 So(n) = 0.125 * sin(n72/16) 772/16 Use linearity and the shifting property to find the Fourier Series for s(t), defined by s(t) = O 1-5 4 lo if – 8<t<1 if i<t<3 if 3 <t<5 if 5 <t<8. S(0) = and for n 70...
c) Calculate the symmetric Fourier series for the periodic function f(t) with period 21 defined on the interval [-a, ] below using on = 21, f (t)e- jntdt. f(t) = { 13 - St<0 LO 0 <t<t and calculate the values for c, and c. [10 marks]
A periodic function ft) of period T-2 is defined as ft)-2t over the period (a) Sketch the function over the interval -3m<<3x. [3] (b) Find the cireular frequency a and the symmetry of the function (odd, even or neither). 21 (e) Determine the trigonometric Fourier coefficients for the function f) [10] (d) Write down its Fourier series for n=0, 1, 2, 3 where n is the harmonic number. [5] (e) Determine the Fourier series for the function g(t)-2r-1 over the...
Q8*. (15 marks) The following f(t) is a periodic function of period 2π defined over the domain when 0 < t < t π f (t) When π Express f(t) as a Fourier series expansion Q8*. (15 marks) The following f(t) is a periodic function of period 2π defined over the domain when 0
Please do 1,3,4,5,6 Write the Fourier series representation for each periodic func- tion. One period is defined for each. Express the answer as a series f(t) = 1, using the summation symbol. Problem 7 of Section 7.2 Problem 8 of Section 7.2 Problem 9 of Section 7.2 Problem 11 of Section 7.2 Problem 14 of Section 7.2 9. 10. 11. 12. 13. f(t) = t + 2π, -2π < t < 2π 4. ft) 5. Use Maple to compute the...
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,...
3. A function f(t) defined on an interval 0 <t<L is given. Find the Fourier cosine and sine series off. f(t) = 6t(11 – t), 0 <t<n
Consider the periodic function defined by 1<t0, 0<t<1, f(t)= f(t+2) f(), and its Fourier series F(t): Σ A, cos(nmi) +ΣB, sin (nπί), F(t)= Ao+ n1 n=1 (a) Sketch the function f(t) the function is even, odd or neither even nor odd. over the range -3<t< 3 and hence state whether (b) Calculate the constant term Ao Consider the periodic function defined by 1