1. Discrete Fourier Analysis. Given the following periodic function: 50. 0<t<2s a) Find discrete time rot...
Excel template: Any help.. I would be so thankful. I don't get this at all... 1. Discrete Fourier Analysis. Given the following periodic function a) Find discrete time rot and amplitude y(roi) values for y(t). Find time values t1, t2,...tN with dt 0.2 s over the interval -2.0 to 1.8 s, amplitudes yl, y2, y3,... ,yN. and N. b) Calculate the amplitude YG), using the template excel file from lecture#10 and i I. To check some of your results, some...
1. Find the Fourier series for the following 1-periodic function f(t) = t, t < -- 2. Find the sum 24 3444 (Hint: Consider the Fourier series for the function f(t)-t2 on [- integer k.) 1) and f(t-k)-f(t) for all 1. Find the Fourier series for the following 1-periodic function f(t) = t, t
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...
1. Using the Fourier series analysis Equation 3 for the periodic function r(t) shown in Figure 2.1, determine both the DC coefficient ao and a general expression for the other Fourier series coefficients ak. Do this by hand, not in Matlab. Show all your work in your lab report. You can add these pages as hand-written pages, rather than typing them in to your lab report, if you prefer Hint 1: It will be easiest to integrate this function from...
10. For each case below the characteristics of a time function r(t) are given. (As- sume the equation for x(t) is known.) Tell me if a CTFS, CTFT, DFTor DTFT would be the best fourier method for analysis: (a) (2.5 points) discrete and periodic (b) (2.5 points) discrete and aperiodic (c) (2.5 points) continuous and periodic (d) (2.5 points) continuous and aperiodic
there are 4 questions in 1 here Find the Fourier Coefficients an for the periodic function f(x) So for – 4 < x < 0 f(x+8) = f(x) for 0 < x < 4 { Find the Fourier Coefficients bn for the periodic function f(x) = X for – 3 < x < 0 O for 0 < x <3 f(x+6) = f(x) Determine the half range sine series of f(x) = 1 - x 0 < x < TT,...
Find the discrete time Fourier series of the following periodic signal x[n] = 0, 1, 2, 3, 0, 1, 2, 3, 0, 1, 2, 3... Verify using Parseval's Theorem
find the fourier function for this function v(t)=av+ summation(an*cos(nwt)) +summation(bn*sin(nwt)) You are given a periodic function v(t) as: Vm Sin (Tt) for 0t v(t) 2Vm sin (4 fortT
Please finish these questions. Thank you Given find the Fourier transform of the following: (a) e dt 2T(2 1) 4 cos (2t) (Using properties of Fourier Transform to find) a) Suppose a signal m(t) is given by m()-1+sin(2 fm) where fm-10 Hz. Sketch the signal m(t) in time domain b) Find the Fourier transform M(jo) of m(t) and sketch the magnitude of M(jo) c) If m(t) is amplitude modulated with a carrier signal by x(t)-m(t)cos(27r f,1) (where fe-1000 Hz), sketch...
Problem 1 A Poisson process is a continuous-time discrete-valued random process, X(t), that counts the number of events (think of incoming phone calls, customers entering a bank, car accidents, etc.) that occur up to and including time t where the occurrence times of these events satisfy the following three conditions Events only occur after time 0, i.e., X(t)0 for t0 If N (1, 2], where 0< t t2, denotes the number of events that occur in the time interval (t1,...