Question 8 A continuous signal x(t) is given as Not yet answered X(t) 4 sin(21t13t) +...
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...
Moodle VAIH-012-0015 Mathematics 012-13293.202010 Question 33 Not yet Find an equivalent expression answered Cos (3) Marked out of 00 Select one: Flag estion A tan x B. -sin x C.-COS X D. sinx Find the exact value. Question 34 Not yet answered Marked out of 100 Given that cos with in quadrant II, find tan 20, Select one: P Flag Question
The continuous signal x(t) = 3 cos(2pi 70 t) is converted to a discretized signal. What is the expression for the discrete signal if the sampling frequency is 200 Hz? What is the frequency of the discrete signal if it is sampled at 3Hz?
Q2.) Consider the sampling of the continuous-time signal x(t) to obtain a discrete-time signal x[n (1)-10cos(1000m + π/3) + 20cos(2000m + π/6). 110points! ], where x a) What is the maximum sampling interval (minimum sampling frequency) that could be used to ensure an aliasing free sampling of this signal? b) Plot the spectrum of the sampled signal if x() is sampled using a sampling frequency of (i) 2500 Hz (ii) 1800 Hz and state whether there will be an aliasing...
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...
Given X 2T-QM making M the subject of the equation Question 5 Not yet answered Marked out of 1.0 P Flag question we get Select one: O i. NONE OF THE OPTIONS GIVEN If 2x-1 3(3x - 5) then x- Question6 Not yet answered Marked out o 0 O i. none of the options P Flag question i. -2 17 Select one: If atbab Find -4 -9- Select one: Oi-25 O i. 7 O ii. None of the options Question...
19. Suppose that we wish to create a signal x(t) = cos(2π10%) sin(100nt) 100Tt (f Suppose that x(t) is sampled with sampling rate 3f. Sketch the spectrum of x(e ) (g) Suppose that we want to generate x(t using a discrete-to continuous converter operating at two times the Nyquist rate. What function xnl do you need to input into the discrete-to-continuous converter to generate x(t)?
19. Suppose that we wish to create a signal x(t) = cos(2π10%) sin(100nt) 100Tt
(f...
2. Consider the signal f(t) = 20 cos(5t) + cos(9t) sin(5t) - 7 (a) What is the highest angular frequency present in this signal? What is the highest numerical frequency present in this signal? (b) What is the Nyquist frequency? rate for this signal? Did you use the angular or the numerical (c) If you sample this signal with sampling period T, which values of T may you choose to be in accordance with the Nyquist rate? Choose and fix...
Question 4 Not yet answered Marked out of 2 P Flag question A continuous random variable X has the following density function (2x+1) 1<x<3 f(x)= 10 . Find 0, otherwise P( 2 < x < 2.5) = a. 0.275 O b. 2.13 O c.0.1 d. 0.05 Question 5 1
Consider a sampler which samples the continuous-time input signal x(t) at a sampling frequency fs = 8000 Hz and produces at its output a sampled discrete-time signal x$(t) = x(nTs), where To = 1/fs is the sampling period. If the sampled signal is passed through a unity-gain lowpass filter with cutoff frequency of fs/2, sketch the magnitude spectrum of the resulting signal for the following input signals: (a) x(t) = cos(6000nt). (b) x(t) = cos(12000nt). (c) x(t) = cos(18000nt).