IF YOU HAVE ANY DOUBTS COMMENT BELOW I WILL BE TTHERE TO HELP YOU..ALL THE BEST..
I HOPE YOU UNDERSTAND..
PLS RATE THUMBS UP..ITS HELPS ME ALOT..
THANK YOU...!!
solve for c and d 1. Plot each of the following functions and find its Fourier...
solve for a and b 1. Plot each of the following functions and find its Fourier series representation, also determine the first three One zero harmonics (a) f(t) -1<t< T= 2 where T is the period. 0t<1 J (b) f(t) -t-1<t<0 T 4 where T is the poriod = 0t1 0-2<t<-1 T = 4 where T is the period (e) g(t) 1 -1<t<1 0 1<t<2 (d) g(t) = 1- t -1<t<1;T = 4 where T is the period 1. Plot...
(20 points) 1. (8 points) Suppose that f(t) is a periodic signal with exponential Fourier series coefficients Dn. Show that the power P of f(t) is This is Parseval's theorem for the exponential Fourier series. 2. (12 points) If f(t) is real-valued, Parseval's theorem can be as a) (3 points) Find the power of the PWM signal shown in figure 1. Hint: for this part don't use Parseval's theorem b) (9 points) Use Parseval's theorem for a real-valued signal to...
I. Find the Fourier series of the following function with period 2π and accurately plot the first three partial sums. [10 points f(x) A -π -π/2 0 π/2 π
Find a Fourier series representation in the form x(t)-xp ol + 〉 2 KI k || cos(kat+ X | k |) of a. に! the impulse train and plot the spectrum of the series through the 5th harmonic. Write out the first five terms of the Fourier series of x(t) b. Now, find a Fourier series representation in the form x(t)=X[0] +Σ2k[k] cos(kay + X[k]) of the following (periodic) square wave に! 0 To To/2 To and plot the spectrum...
k for 2 5. Consider the function f(x) = 37T 0 for 2 Hint: See examples of functions of a generic period t; James, 4th ed. pg. 581, Ex. 7.7 & 7.8 (a) State wether it has even or odd symmetry (b) Find the Fourier series representation for f. Plot graphs of the first three partial sums SI (c) Using the result in part (b), show that 1 + 1 +.. 7 4 k for 2 5. Consider the function...
(a) Determine the period, amplitude, and frequency of a signal given by, v(t) (120nt). Plot this signal both in the time-domain and frequency domain. (b) For the following square wave v(t), determine if it is a periodic signal, and if yes, what 10 V sin 4. [61 are its amplitude, period T and fundamental frequency f? Why do we need to convert this signal into sine/cosine wave for transmission? 2 o-oims (c) () According to Fourier Theorem, the above signal...
Find the Fourier series of the following functions in the given intervals. f(x) = r +, - <x< g(t) = { inter) 0. -T<r <0, sin(x), 0<x< 1.
Fourier fitting I tried a fourier fitting calculator, but got some result really weird that the plot is not symmetry about y axis. Also, I'm totally confused about part 2.....help please. Fit the function y(x)=exp(-abs(x)) series and evaluating the terms analytically. Remember that you need to rescale x to 0 so that -T 0 < t. over the range -1 an infinite Fourier x < 1 using a Fit y(0). Remember that you will have to integrate from -r to...
6. Plot the following functions and then find the Fourier transforms: (a) f (t) - Kt[u(t +a/2) - u(t - a/2)]. What is the value of F(0)? (b) f(t)- A cos (t)[u(t 2) ut -2)] (c) f(t) -Ae-2M-Du(t -1). 2(t-1)
For the function y 1-x for 0 s x s 1 Graph the function's 3 periods 1) Find its formulas for the Fourier series and Fourier coefficients 2) Write out the first three non-zero terms of the Fourier Series 3) 4) Graph the even extension of the function 5) Find the Fourier series and Fourier coefficients for the even extension 6) Write out the first three non-zero terms of the even Fourier series 7) Graph the odd extension of the...