5. (20 pts) Using Matlab, plot 8 periods of the following three signals for the first N harmonics...
Use MATLAB to : ("j" is the imaginary number.) The term lo is the fundamental frequency of the periodic signal, 2/T, where T is the period. Frequencies nlo, where n is an integer, are the harmonics. This infinite sum is an exact representation of the original function. If we use a finite sum, where n goes from -N to N, we will get an approximation "X-(t)". In this problem we will calculate and plot the Fourier series representation of a...
Problem 2: Consider the following periodic signals x(t), a square wave, and yt), a saw tooth 2T The pulses width of x(t) т, wave. Both have the same amplitude A and the same frequency - equal T. The duty-cycle of x(t) is defined as d- T. -A From tables of Fourier Series ofvarious periodic signals, the following formulas are given for your convenience x(= Ad+2Adnacos at+2Ad sna cos 2at+2Adl sun 3xdcos3at яd 2лd Зяd 24 (sin a 1 sin 2asin3ajain...
MATLAB PLEASE MATLAB PLEASE most simple code possible 6. Determine which sequences are average power and plot 5 periods. For part (c), show that it is possible to express the sequence using a simple formula. As for the aperiodic signals, just plot 40 samples periodic. Hence, for the periodic ones, find their period (a) an (n) %3D2 cos(풍n + ) sin(n + 좋) 4sin(3Tn- (b) 2(n) (e) ra(n) (d) a(n) COs( sin(n) + 3cox(품n -) sin(동n + 좋) com(품끼) (e)...
Please slove using MATLAB Problem 4 a) Determine the periods of the following two signals. b) Plot the signals between 0 program). sec and ST (T is period) using computer (attach your plot and 10 15 -15A-10
Please help by writing a MATLAB Code for the this lab Fourier Series Synthesis You will consider five continuous-time signals 1- 2- for A D 4- We were unable to transcribe this imageWe were unable to transcribe this imager(t) e-t for-1 < t > 1 x(t) 2 2 4 3 3 x(t) -4 2 2 4 2 1, 0sts be a periodic signal with fundamental period T = 2 and Fourier coefficients ak. (a) Determine the value of ao (b)...
efficients Wi for the signal w(t) sin(16rt) 14. (8 pts) Determine the FS coefficients W, for the signal w(t) 3 cos(12rt)-5 sin(16rt). (c) (9 pts) Suppose a MATLAB anonymous function X already exists that correctly defines X() Write MATLAB code that uses X to reconstruct and then plot a 10-periodic replication of e(t) over-10sts10. efficients Wi for the signal w(t) sin(16rt) 14. (8 pts) Determine the FS coefficients W, for the signal w(t) 3 cos(12rt)-5 sin(16rt). (c) (9 pts) Suppose...
Problem 2: A periodic signalxit) is shown below A =10, T-4 sec. -T Write a MATLAB script to plot the signal, using enough points to get a smooth curve. Compute the Fourier series coefficients for the signal (if you can find them in the text, that is ok). Plot the single-sided or double-sided spectra for each signal. Include enough frequencies in the plots to adequately represent the frequency content of the signals. Plot partial sums of the Fourier series for...
Questions a) Write a (Matlab) function, which accepts the following inputs: -the finite set of Fourier series coefficients a-N, a-N+1,.. , a-1, ao, a1, aN-1, aN the fundamental period T of the signal to be reconstructed a vector t representing the times for which the signal will be constructed - and produces as output xv(t) (i.e., the output of the (Matlab) function should be a vector x of length equal to the length of t containing the values of xN...
2. Determine the FS coefficients for each of the following DT periodic signals. (a) x[n] = sin(2 /3) cos(in/2) (b) x[n] periodic with period 4 and x[n] = 1 - sin n for 0 <n<3. (e) a[n) periodic with period 12 and [n] = 1 - sin for 0 <n<11.
Please can you solve it using MATLAB. (1) Generate random signals [n] and hn, each of length N, and measure the time it takes to compute the linear convolution of r[n using the linear convolution definition and using the FFT method . Plot a graph of the results for N 104 to 10 in steps of 10. (2) Consider the signal x[n]-cos(0.3n),。£11S 100. Generate a plot of: ·The magnitude and phase of the DTFT of x[n] for 0 2π The...