What is the Exponential Fourier series for the saw tooth waveform? x(t) 0.5 1.5 -1 -0.5...
Consider the following problems related to the exponential Fourier series. (a) The exponential Fourier series of a periodic signal x(t) of funda- 4.7 mental period To is 3 i. Determine the value of the fundamental period To ii. What is the average or dc value of x(t)? iii. Is x(t) even, odd, or neither even nor odd function of time? iv. One of the frequency components of x(t) is expressed as Acos(ST) 0- What is A? (b) A train of...
Find the trigonometric Fourier series (FS) and the exponential FS of the following: 2 *(1) 1.5 1 0.5 O -0.5 1 -1 2 -1 0 2 b) 2 3 4 6 exponential FS Cnejnwot f(t) = En=-00 Where Cn 7Se+ f(t)e-inwot dt trigonometric f(t)= a, +Ža, cos(n6,t)+b, sin(n0,1 ao 1 T. 2 to an S f(t)dt sº f(t)cos(n0,1)dt f(t)sin (no,t)dt To 2 pt b,
Part 1: Exponential Fourier series The following MATLAB code calculates the exponential Fourier series coefficient for the signal x(t) shown in the figure below, plots it's double sided amplitude spectrum IDn l, double sided phase spectrem LDn, and the resulting signal xn(t). 4r 4a Periodic signal x(t) 1.1 Show that the complex Fourier Series Coefficients written as: D 1.2 Use the following Matlab to general the two sided spectral line. 1.3 Execute the Matlab code with To = 2π and...
2.10-3 Using direct integration, numerically derive and plot the exponential Fourier series coefficients of the following periodic signals: (a) The signal waveform of Figure P2.1-5 (b) The signal waveform of Figure P2.1-10(a) (c) The signal waveform of Figure P2.1-10(f) 2.10-4 Using the FFT method, repeat Problem 2.10-3. e P2.1-5 g (t) -6 4 -8 2.10-3 Using direct integration, numerically derive and plot the exponential Fourier series coefficients of the following periodic signals: (a) The signal waveform of Figure P2.1-5 (b)...
what is ‘’’’’’Exponential Fourier serie’’’’’’ of x(t) signal??
The following program gives a crude saw tooth waveform. What is its period? while(1) { for (i=0;i<1;i=i+0.2){ Aout=i; wait(0.1); } } Please explain step by step
6. Write a program and run it in the lab to generate a Saw tooth waveform (ramp with negative slope) using lookup table method and another without a lookup table and 6713 DSK. Show how you will change the period. 1 ms 2 ms 3 ms Equation for the ramp: y = 5-0.005 t; X axis is time in ms. Y axis is voltage.
3.11-For each of the following signals compute the complex exponential Fourier series by using trigonometric identities,and then sketch the amplitude and phase spectra for all values of k (a) x(t)-cos(5t-π/4) (b) x(t) sint+ cos t 756 Chapter & The Series and fourier Translorm 023 4 5 ibi FIGURE Pa P33 3.13 Problems 157 in 0 14 12 3 I) ain FIGURE ,3.3 (antísndj (c) sti)-cos(1-1) + sin(,-%) 3.12. Determine the exponential Fourier series tor the Following periodic signals 3.11-For each...
1. Compute the trigonometric Fourier series and exponential Fourier series for the periodic signals shown below. ANNA 6 -4 4 / X(t) e1/10 (b)
The exponential Fourier series of a certain function is given as x(t) = (2+jl)e"]3+ + j3e-ft + 5 - Belt + (2-j1)e131 a) Sketch the exponential Fourier spectra b) By inspection of the spectra in part (a), sketch the trigonometric Fourier spectra for x(t). c) Find the compact trigonometric Fourier series from the spectra in part b.