Answered: If a continuous-time signal x(t) = 2…

If a continuous-time signal x(t) = 2 cos(4t) is sampled at T= 0.5 sec, then a periodic discrete signal x[n]is obtained. Select one: O True O False

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...

See similar textbooks

Related questions

Q: The input-output relation of a system at initial rest is given by, dx (t) + 2 x (t) ¹+ 3y(t) =…

Q: 4. Find the steady state periodic response to input given by u = 3 + 2sin²t, if the system transfer…

A: The transfer function is, X(s)U(s)=100s+4s2+10s+50 The Laplace transform of the input is calculated…

Q: The continuous -time signal xc(t) = sin(40nt) + cos(80nt) is sampled with a sampling period 7 to…

Q: Q.5 a) The impulse response of a LTI system is given as h(t) = ße¯d' cos(Nt+p)u(t); a>0. Consider…

A: According to our expert policy only one individual question is to be answered.kindly repost the…

Q: 4. Find and plot the FS representation of periodic signal which is defined over a single period 8(t…

Q: Transfer function of a system is given as: (1+ s)(0.1 + 10s) F(s) = (1+ 0.1s)(1+0.01s) a. Draw the…

Q: The input signal to an LTI system is given by x(1) = 2 cos(2t +) The system has impulse response…

Q: 1. Tracing the o utline or the ha art shape shown below results in a periodic signal which can…

A: The time domain signals can be continuous or discrete. The time domain signals can be periodic as…

Q: Find the transfer function, 0, (s)/T(s), of the rotational mechanical system below: T(t) 0,(1)

Q: s(3s+2) (82+10s+25)(s²+2s+5)* what is the steady state phase angle shift (radians) in a (t) if f (t)…

Q: Consider a channel whose transfer function, H(f), is given as follows: 1 1+ cos(27 fT) if |f| < H(f)…

Q: Given the causal system given by the difference equation y[n]−56y[n−1]+16y[n−2]=x[n] determine…

A: Brief description : For the given discrete time domain difference equation we need to derive its…

Q: Q' :A) Complete the following sentences: 1. The evaluation of S 8(t – 1)8(t – 2)dt s . 2. A…

A: Here in first question we need to find the value of integration and in second question we find the…

Q: DSP system is described by the difference equation y(n)=0.2y(n-1)+x(n), find the impulse response…

Q: 96(s+5)(s+12) (s-1)(s+8)(s+6) G(s) 1. Find the unit impulse response of a system with a transfer…

A: Given Transfer function G(s) = 96s+5s+12s-1s+8s+6 inverse Laplace transform of the transfer…

Q: Consider the signal f(t)=1+2cos(t) + 3sin (271) seconds. Its fundamental time period, in seconds, is…

A: given here a signal and asked to find the fundamental time period.

Q: Determine the impulse response and frequency response of the LTI system defined by, y(n) = x(n) + b…

Q: Use the properties of the unit impulse function 8(t) to evaluate the following integrals: 00 (ii) […

A: we need to evaluate given signal using impulse properties.

Q: The unit impulse response of a second order system is te-0.st sin 0.6t. The natural frequency and…

A: Damping ratio is system parameter. It is represented by Zeta ζ. The poles of transfer function is…

Q: Consider a linear time-invariant system. It is known that when the input is u(t) = tu,(t) and the…

Q: 3. Given the LTI system described by the following differential equation ay(t) + 3음y(t) + 5y(t) =D…

Q: 4. The input to a system with impulse response h(t) is x(t), both functions are given below. Find…

A: In this question we need to find a output of the given system.

Q: d) Using the relevant property ofthe Fourier transform obtain F{f(t)cos(Q,- where f(t) is the…

A: Solution of Part D :

Q: By using Fourier transform, find y, in the circuit of Fig.6. Given i, = 5e 'u(1) A 40 Ω 20 mF Fig.6

A: For the given circuit we have to find the value of voltage Vo

Q: 3, k = 0 2, k = 1,2 (0, elsewhere And if the digital convolution If x(k) = %3D 2, k = 0 k = 1 8, k =…

Q: (A) 4.24, 2.12 rad/s The transfer function of a system is T(s)= (s+3)(s + 6) The damping ratio and…

Q: 5. For a LTI system whose impulse response h(t) is plotted as below, h(t) 1/2 cycle of 2 sin mt Find…

Q: (Difficulty: * *) Consider the following finite support signal: «3} - [(-1)"n for n = 1,2,3…

A: The given signal is, xn=-1n for n=1, 2, 30 otherwise The energy of the…

Q: A system has transfer function H(s) = 1/(s+2). Given input to system is x(t) = sin(3t) . What is the…

A: Given transfer function is - Hs=1s+2xt=sin3tω=3

Q: 6. For a LTI system whose impulse response h(t) is plotted as below, h(t) 1/2 cycle of 2 sin mt Find…

A: The system’s response can be calculated by the given expression,

Q: Q2) A discrete time system has a unit sample response h(n) { 4(n + 1) (2n n = 0 n = 1,2 h(n)= Find…

A: Given: A discrete-time system has a unit sample response h(n): hn=4n+1, n=02n, n=1,2 To…

Q: 1. Tracing the outline of the heart shape shown below results in a periodic signal which can roughly…

A: Note: We are authorized to answer one question at a time, since you have not mentioned which…

Q: In first order systems, the rise time T, of thq following output response xt) where, z(t) = 1-e will…

Q: 3. Consider an LTI system with the following transfer function: s+3 H(s) = %3D s² + 4s + 5 (a) If…

Q: X(s) F(s) 4s+1 Given the transfer function T(s) what is the steady state amplitude of x (t) if ƒ (t)…

A: The steady state response of x(t) can be obtained by taking Laplace transform of X(S) where s tends…

Q: Consider the signal f(t) = 1+2cos(at)+3sin + 4cos 3 where t is i 4. %3D seconds. Its fundamental…

Q: 1. A test device is a linear time-invariant system, and its transfer function is H(s)=1/(0.007s +1).…

Q: Consider the signal s(t), shown below, which is periodic with period T, = 4. %3D s(t) 2 + t 2 -2 -1…

Q: 1. Given a system with input x(t) and impulse response h(t) given by: x(t) = u(t), h(t) = u(t). Let…

A: Given, Input x(t)=u(t), Impulse response h(t)=u(t) Here, we have to find: PART (a): output of a…

Q: A continuous-time LTI system has the input/output relationship y(t) = e--1)x(2- 1)da Determine the…

A: Given: A continuous-time LTI system has the input/output relation as: yt=∫-∞te-t-1xλ-1dλ To find:…

Q: Sketch the root locus plot for the transfer function G(s)H(s) = k(s+3) s(s+10)(s² +8s+20)

Q: In the root locus of the system given by the open-loop transfer function G(s)= K(s+1) / s^2 + 4s +5,…

Q: The transfer function of the system, H(2): is given by: 1+2z 1+3/22- H(2)= If the system is stable,…

Q: Find x(t) when f(t) is a unit impulse F(s) =1 using a table. Let k = 1, M=1, D=1. Transfer…

Q: 1. The transfer function of a system is given by, K(s+6) T(s) = ´s(s+2)(s+5)(s² +7s+12) Determine i.…

Q: The signal x(t) = 5 sin(100 Tt t) is sampled at 400 Hz, then applied to a FIR DSP system whose…

A: A system that is linear and time-invariant is called the LTI (linear time-invariant) system. If the…

Q: Q2) A discrete time system has a unit sample response h(n) h(n)={4(n+1) 12n n = 0 h(n)={2 n = 1,2…

A: The unit sample response of a discrete-time system is given as…

Q: 9.11 Use the following transfer functions to find the steady-state response y,„(1) to the given…

Q: 6.76. Consider a continuous-time LTI system with the system function H₂(s)=_=_=_ s+1 Determine the…

A: According to the question, for the given continuous-time LTI system as shown below Hcs=1s+1 We need…

Concept explainers

Fourier Series

Most of the incidents studied in the field of Engineering and Science as a function of time. For example, current and voltage are in the alternating current circuit. These occasional activities can be analyzed in the activity components (fundamental frequency and harmonics) through a process called Fourier analysis.

Question

If a continuous-time signal x(t) = 2 cos(4t) is sampled at T= 0.5 sec, then a periodic discrete signal x[n]is obtained.
Select one:
O True
O False
Let x[n]=[1 0 -1] and v[n]=[1 1 -1] for -1<n<1 and we want to compute their convolution using array method.
The size of the array will be:
Select one:
O a.
2x2 (2 rows and 2 columns)
O b. 5x5 (5 rows and 5 columns)
c.
6x6 (6 rows and 6 columns)
O d. 4x4 (4 rows and 4 columns)

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps with 1 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, electrical-engineering and related others by exploring similar questions and additional content below.

Similar questions

A continuous time signal, x(t) = sin(20πt) + cos(40πt), is sampled uniformly at intervals of T to obtaina discrete time signal,x(n) = sin(πn/5) + cos(2πn/5).a) What is the value of T assuming no aliasing has occurred?b) Assume both frequency components have been aliased. In this case, is your choice of T unique? If not,specify some choices of T consistent with the information given
A non-periodic signal, s(t), is described as follows: s(t) = 1 for 0 ≤ t ≤ 1 sec s(t) = 0 otherwise. Find out an expression for the magnitude of the frequency spectrum, S(f), for s(t).
When u (t): unit step function is applied to the input of the control system given the transfer function above, the output response of the system is given below for t = 3.8 s and t = infinity. Accordingly, cf =lim t->infinity c(t)=1 , c(t =3.8s) = 0.85 what is the settlement time of the system? calculate
a) Y(ω) = 1/(5+jω) The expression above defines the frequency domain signal Y(ω) from a time domain signal y(t) i) Determine the imaginary & real parts of Y(ω). ii.Determine the signal y(t) that produced the signal Y(ω). b)What are the 3 areas of application of i.Signals ii.Systems c) Briefly summarise with explanation the difference between discrete & continuous time signal and also write an expression that describes each signal type.
Samples of the discrete-time signal x[n] are given as x[n] = [-1, 2, 0, 3, -7, 6]. a) Calculate the odd and even components of x[n] b) Calculate the energy of the signal, y[n].
Given the discrete-time sinusoid:x(n)=2cos(nπ/2)+sin(3nπ/4)Ignoring the effects of aliasing, if this was due to sleeping rate Fs = 79 Hz. What are the frequencies of the continuous-time cosine and sine functions?
Find the trasnfer function H(Ω) if a =0.1
A continuous-time LTI system has a zero at ? Z1= −1 and P1= −1.732 + 1.414j and It has two poles at P2 = −1.732 − 1.414j. The transfer function of the system and the impulse Calculate the answer.
Find x(t) when f(t) is a unit impulse F(s) =1 using a table. Let k = 1, M=1, D=1. Transfer Function = X(s)/F(s) = 1/(Ms^2 + Ds + k)
The input to a linear time invariant system is a white Gaussian noise. The impulse response of the LTI system is given by h(t) = e-10t u(t) The output of the LTI system is denoted by Y(t). Find Mean of Y(t) Power spectral density of Y(t) Autocorrelation function of Y(t E[Y(t)2] P[Y(1) > √?0/2]
Transfer function ? (?) =96 (? + 5) (? + 12)(? − 1) (? + 8) (? + 6)Find the unit impulse response of a system.By showing the zeros and poles of the system on the coordinate system, you can determine the stability of the system.
R = 0.5 C = 0.5 Let the transfer function a driver be denoted as ,