Question 10 6.25 pts A continuous-time signal is given by X(t) = cos(27[C]t) + sin(27[C]t) where...
ints) A continuous time signal is given below: x(t) = 10 + 3 sin (20t + 3) + 5 cos(40π) This is sampled at t = 0.01 n to get a the discrete-time signal x[n], which is then applied to an ideal DAC to obtain a reconstructed continuous time signal y(t). a. i. Determine x[n] and graph its samples, using Matlab, along with the signal x(t) in one plot, plot a few cycles of x(t). ii. Determine the reconstructed signal,...
(2) Consider the following continuous-time signal where, Fai(t) a2(t)4 Fas(t) = 6 sin(2tht +-)cos(2nfat + ?/3) cos(2n fzt) +sin(2mJst), = 6 cos(2r/st) + 5sin(27/6t),
For the continuous-tine periodic signal 4nt (-), 2mt x(t) = 2 + cos (-) + sin determine the fundamental frequency wo and the Fourier series coefficients ak such that kwot k=-oo
Problem 4.(30 pts) Given the analog signal x(t) cos(2 cos(3t)+2 sin(4mt) A.(10 pts) Find the Nyquist frequency (sampling frequency) which guarantees That x() can be recovered from it's sampled version xIn] with no aliasing. B.(10 pts) If the sampling period of Ts 0.4 see is used identify all discrete frequencies Of the signal x(t), also indicate if this sampling period is adequate to recover x(t) from xn] C.(10 pts) Suppose signal x(t) is modulated by signal e(t) = cos(2000mt) what...
Question 8 A continuous signal x(t) is given as Not yet answered X(t) 4 sin(21t13t) + 3 cos(21732t) – sin(2nT95t) What is the minimum sampling frequency (Nyquist Rate) that can be used to sample this continuous signal? Marked out of 1.50 P Flag question Select one: a. 190 Hz O b. 95 Hz c. 285 Hz d. 32 Hz e. 13 Hz
10. Find the Fourier transform of a continuous-time signal x(t) = 10e Su(t). Plot the magnitude spectrum and the phase spectrum. If the signal is going to be sampled, what should be the minimum sampling frequency so that the aliasing error is less than 0.1 % of the maximum original magnitude at half the sampling frequency. 11. A signal x(t) = 5cos(2nt + 1/6) is sampled at every 0.2 seconds. Find the sequence obtained over the interval 0 st 3...
(a) A system is generating the following continuous-time signal: x(t) = 1 + cos(100nt) + sin(300nt) An engineer wants to sample this signal to be analysed digitally on a computer. He decides to sample it at 500Hz. Did the engineer make the right decision? State why? What is its corresponding discrete-time signal x[n].
Consider the following DT periodic signal: in X(t) = sin 2πη) 10 + cos 30) a) What is the fundamental period? b) What are the exponential Fourier series coefficients? c) Sketch magnitude and phase spectral plots.
Hello, I'm taking signal systems course. please solve this question in matlab as soon as possbile please. Question 1 a) Write a function that calculates the Continuous Time Fourier Transform of a periodic signal x() Syntax: [w, X] = CTFT(t, x) The outputs to the function are: w = the frequencies in rad/s, and X = the continuous Fourier transform of the signal The inputs to the function are: x-one period of the signal x(t), andt the time vector The...
Question 2 (50 points]: Continuous-Time Signals Given the following continuous-time signal (t). (t) 5t (a) [4%] What is the fundamental period (i.e., T) and fundamental frequency (ie, wo) of (+)? (b) [8%] Calculate the time average, average power and total energy of x(t). Is x(t) an energy signal? Explain. (c) [8%] Calculate the Fourier series coefficients of (t), i.e., {x}. [Hint: You can make use of the result in Q1(a).] (d) [8%] What is the percentage of power loss if...