2. Determine the Nyquist rate for the following signals sin(4000nt) (a) x(t) = (b) x(t) =...

Question

Question

2. Determine the Nyquist rate for the following signals sin(4000nt) (a) x(t) = (b) x(t) = 2 + cos(1000nt) – sin(3000mt +-1 it

engineering Electrical-Engineering

Answer 1

Answer #1

Given data Nyquist Rate: The Minimum value of sampling frequency for successful recovery of signal is Known as Myavist rate W

Answer 2

Similar Homework Help Questions

Signals and Systems Nyquist Rate of signal is? X(t) = sin( 500 TT4) Sin caso trd)...

Signals and Systems Nyquist Rate of signal is? X(t) = sin( 500 TT4) Sin caso trd) Tit + cos² (1000it) sin (400 T7E) Tt
Problem 6. Find the Nyquist rate of the following signals (a) (t)= 1 cos(1000t)cos(3000t) sin(4000Tt) (b)...

Problem 6. Find the Nyquist rate of the following signals (a) (t)= 1 cos(1000t)cos(3000t) sin(4000Tt) (b) r(t) пt
Find the Nyquist rates for these signals: (a) X(t) = sinc (20) (b)x(t) = 4 sinca...

Find the Nyquist rates for these signals: (a) X(t) = sinc (20) (b)x(t) = 4 sinca (100t) (C) x(t) = 8 sin(50TTT) (d) x(t) = 4 sin(30TTt) + 3 cos(70nt) (e) X(t) = rect(300t) (f) X(t) = -10 sin(40nt) cos(300Tt) (g) X(t) = sinc(t/2)*710(t) (h) x(t) = sinc(t/2) 70.1() (i) X(t) = 8tri((t - 4)/12) (1) X(t) = 13e-201 cos(70TTt)u(t) (k) x(t) = u(t)-u(t-5)

4. Find the Nyquist rate for the following signals. For each case sketch the magnitude spectrum...

4. Find the Nyquist rate for the following signals. For each case sketch the magnitude spectrum of the sampled signal if the sampling rate is 25% higher than the Nyquist rate. a.) ft)sinc E 2T 10 b.) h)=sinc 2T For all the following, use ft) given in part a.) c.) glt)= f(l-7) d.) c(t)- f)cos() 1 e.) x(t)= fit)+ _ sinc (t 4. Find the Nyquist rate for the following signals. For each case sketch the magnitude spectrum of the...
Determine the Fourier transform of the following signals and plot the spectrum a. x(t) 4 sin...

Determine the Fourier transform of the following signals and plot the spectrum a. x(t) 4 sin 2T1000t b, x(t)= 4sin 2πί000t cos 2π4000t c. x(t)= (4 + cos 272000) cos 2π5000t
(a) Determine the Fourier transform of x(t) 26(t-1)-6(t-3) (b) Compute the convolution sum of the following signals, (6%) [696] (c) The Fourier transform of a continuous-time signal a(t) is given bel...

(a) Determine the Fourier transform of x(t) 26(t-1)-6(t-3) (b) Compute the convolution sum of the following signals, (6%) [696] (c) The Fourier transform of a continuous-time signal a(t) is given below. Determine the [696] total energy of (t) 4 sin w (d) Determine the DC value and the average power of the following periodic signal. (6%) 0.5 0.5 (e) Determine the Nyquist rate for the following signal. (6%) x(t) = [1-0.78 cos(50nt + π/4)]2. (f) Sketch the frequency spectrum of...

1. (15) By the Sampling Theorem the Nyquist sampling rate must be twice the highest bandwidth...

1. (15) By the Sampling Theorem the Nyquist sampling rate must be twice the highest bandwidth of the message signal. For the three message signals below determine the Nyquist rate and the Nyquist interval for each. a) m(t) = 0.5 cos(150 ) + sin(300Ft) + 0.75 cos(350ft) b) m(t) = 2 cos(120rt) sin(3007) c) m(t) = sinc(4000) = sin(400m) Recall: the Fourier transform of a sinc waveform is a rectangular pulse
[15 total pts] Graphical visualization of a signal's spectrum can help determine the Nyquist rate for...

[15 total pts] Graphical visualization of a signal's spectrum can help determine the Nyquist rate for sampling. Consider a signal x,(t) = cos(40t) cos(80t). Sketch the 2-sided complex spectrum and [5 pts] determine the minimum sampling rate that can be used to sample the signal without causing aliasing. [5 pts] Repeat Part a for the signal x2 t) cos(4 x 103t) sin(3 x 103Tt) cos(8 x 10Tt). [5 pts] Repeat Part a for the signal x3(t) cos(4 x 103Trt) sin(3...
1. Determine the Fourier transforms X) of the following signals and plot the spectrum a x(...

1. Determine the Fourier transforms X) of the following signals and plot the spectrum a x( ) = 4 sin 2.1 4000cos2x 2000 b. x(t) = (2+2 cos 2 x 20007) cos 2.5000

QUESTION 4 a. Determine the frequency spectrum of the signal x(t) b. What is the Nyquist...

QUESTION 4 a. Determine the frequency spectrum of the signal x(t) b. What is the Nyquist rate for this signal? cos(t) + 5sn3t. me-invariant system defined by, dt dt what will the system output y(t) be? QUESTION 5 The system function of a casual LTI system is given as, 2s a. Find the impulse response of the system. b. Find the step response of the system. A causal discrete-time LTI system is described by, y[n] - (3/4) yin-1+(1/8) yin-21 xn]...