Consider two periodic signals, please
(a) determine and draw the output of y(t)=x(2t)*h(t) if T >8.
(b) Try to figure out and draw the frequency responses of x(t), h(t), and y(t).
Homework Answers
Add Answer to:
Consider two periodic signals, please
(a) determine and draw the output of
y(t)=x(2t)*h(t)
if T >8....
Determine the output y(t) for the following pairs of input signals x(t) and impulse responses h(t):...
Determine the output y(t) for the following pairs of input signals x(t) and impulse responses h(t): iv) x(t) = exp(2t)u(−t), h(t) = exp(−3t)u(t);
Determine the output y(t) for the following pairs of input signals x(t) and impulse responses h(t)...
Determine the output y(t) for the following pairs of input signals x(t) and impulse responses h(t) USING CONVOLUTION THEOREM ONLY: iv) x(t) = exp(2t)u(−t), h(t) = exp(−3t)u(t);
determine the output y(t) for the following pairs of input signals x(t) and impulse responses h(t):...
determine the output y(t) for the following pairs of input signals x(t) and impulse responses h(t): (1) x(t) = u(t), h(t) = u(t) (2) x(t) = exp(2t)u(-t), h(t) = exp(-3t)u(t)
3.5 Determine the output y(t) for the following pairs of input signals x(t) and impulse responses...
3.5 Determine the output y(t) for the following pairs of input signals x(t) and impulse responses h(t): 11) X (İİİ) x(1) = 11(1)-211(1-1) + 11(1-2), h(1) = 11(1 + 1)-11(t-1); Part lI Continuous-time signals and systems (iv) x(t) - e2"u(-t), h(t)-eu(); (v) x(t)-sin(2tt)(u(t _ 2) _ 11(1-5)), h (t) = 11(1) _ II(ț-2); (vi) x(t) = e-圳, h(t) = e-51,1. (vii) x(1)= sin(t)11(1), h(1) = cos(t)11(1).
3.5 Determine the output y(t) for the following pairs of input signals x(t) and...
Consider the following CT periodic signals x(t), y(t) and z(t) a(t) 5 -4 y(t) 5/-4 z(t)...
Consider the following CT periodic signals x(t), y(t) and z(t) a(t) 5 -4 y(t) 5/-4 z(t) 5 4 (a) [2 marks] Find the Fourier series coefficients, ak, for the CT signal r(t), which is a periodic rectangular wave. You must use the fundamental frequency of r(t) in constructing the Fourier series representation (b) [2 marks] Find the Fourier series coefficients, bk, for the CT signal y(t) cos(t) You must use the fundamental frequency of y(t) in constructing the Fourier series...
For the remainder of this problem, the signals (t) and y(t) denote the input and output, respecti...
For the remainder of this problem, the signals (t) and y(t) denote the input and output, respectively, of a stable LTI system whose (double-sided) frequency response is known to be w-4m 27T 4m H(w) = rect ( 2π with rect(t) denoting the unit-pulse function i.e., rect(t) 1 for lt| < 1/2 and is zero otherwise. Hint: Use sketches as a guide for answering each question most efficiently. (c) (15 points) Determine y(t) for all t given the applied input is...
2.6 Let x(t) and y(t) be two periodic signals with period To, and let X, and...
2.6 Let x(t) and y(t) be two periodic signals with period To, and let X, and yn denote the Fourier series coefficients of these two signals. Show that 7. Le***0*n di = § 00 2.7 Show that for all periodic physical signals that have finite power, the coefficients of the Fourier series expansion x,, tend to zero as n → .
3.12. Determine the exponential Fourier series for the following periodic signals: sin 2t + sin 3t...
3.12. Determine the exponential Fourier series for the following periodic signals: sin 2t + sin 3t (a) x(t) = 2 sint (b) x(t)-Σ δ(t-kT) k-00
In each step to follow, the signals h(t), a(t), and y(t) denote respectively the impulse response...
In each step to follow, the signals h(t), a(t), and y(t) denote respectively the impulse response, input, and output of a continuous-time LTI system. Accordingly, H(w), X(w) and Y(w) denote their Fourier transforms. Hint: Carefully consider for each step whether to work in the time domain or frequency domain. (b) (25 points) On the axes below, provide a clearly labeled sketch of y(t) for all t given Σ H(w)-( ) sine? (w/8) j2Tt r(t)-e δ(t-n/2) and with sinc(t) = sin(t)/t...
Sketch the signals with the figure given below. i. x(t+1)y(t-2) ii. x(4-t)y(2t) X(t) 1 2 3...
Sketch the signals with the figure given below.
i. x(t+1)y(t-2)
ii. x(4-t)y(2t)
X(t) 1 2 3 t -1 y(t) -2 -1 1 2 -1
3.5 Determine the output y(t) for the following pairs of input signals x(t) and impulse responses h(t): 11) X (İİİ) x(1) = 11(1)-211(1-1) + 11(1-2), h(1) = 11(1 + 1)-11(t-1); Part lI Continuous-time signals and systems (iv) x(t) - e2"u(-t), h(t)-eu(); (v) x(t)-sin(2tt)(u(t _ 2) _ 11(1-5)), h (t) = 11(1) _ II(ț-2); (vi) x(t) = e-圳, h(t) = e-51,1. (vii) x(1)= sin(t)11(1), h(1) = cos(t)11(1).
3.5 Determine the output y(t) for the following pairs of input signals x(t) and...
Consider the following CT periodic signals x(t), y(t) and z(t) a(t) 5 -4 y(t) 5/-4 z(t) 5 4 (a) [2 marks] Find the Fourier series coefficients, ak, for the CT signal r(t), which is a periodic rectangular wave. You must use the fundamental frequency of r(t) in constructing the Fourier series representation (b) [2 marks] Find the Fourier series coefficients, bk, for the CT signal y(t) cos(t) You must use the fundamental frequency of y(t) in constructing the Fourier series...
For the remainder of this problem, the signals (t) and y(t) denote the input and output, respectively, of a stable LTI system whose (double-sided) frequency response is known to be w-4m 27T 4m H(w) = rect ( 2π with rect(t) denoting the unit-pulse function i.e., rect(t) 1 for lt| < 1/2 and is zero otherwise. Hint: Use sketches as a guide for answering each question most efficiently. (c) (15 points) Determine y(t) for all t given the applied input is...
2.6 Let x(t) and y(t) be two periodic signals with period To, and let X, and yn denote the Fourier series coefficients of these two signals. Show that 7. Le***0*n di = § 00 2.7 Show that for all periodic physical signals that have finite power, the coefficients of the Fourier series expansion x,, tend to zero as n → .
3.12. Determine the exponential Fourier series for the following periodic signals: sin 2t + sin 3t (a) x(t) = 2 sint (b) x(t)-Σ δ(t-kT) k-00
In each step to follow, the signals h(t), a(t), and y(t) denote respectively the impulse response, input, and output of a continuous-time LTI system. Accordingly, H(w), X(w) and Y(w) denote their Fourier transforms. Hint: Carefully consider for each step whether to work in the time domain or frequency domain. (b) (25 points) On the axes below, provide a clearly labeled sketch of y(t) for all t given Σ H(w)-( ) sine? (w/8) j2Tt r(t)-e δ(t-n/2) and with sinc(t) = sin(t)/t...
Sketch the signals with the figure given below.
i. x(t+1)y(t-2)
ii. x(4-t)y(2t)
X(t) 1 2 3 t -1 y(t) -2 -1 1 2 -1
Most questions answered within 3 hours.
-
find the critical value associated with a right sided hypothesis of
the mean using a sample...
asked 56 minutes ago -
Which of the following statements is true with respect to a
simple linear regression model?
a....
asked 1 hour ago -
The energy required to remove an electron from a surface of a
solid element is called...
asked 3 hours ago -
How would you train your employees to avoid risks of using
mobile devices?
asked 3 hours ago -
Assume Kw = 1.01 ✕ 10−14
For pure water, we can calculate [H3O+ ] = [OH...
asked 4 hours ago -
Suppose that on a temperature scale X, water boils at 203.0°X
and freezes at -105.7°X. What...
asked 5 hours ago -
BaS crystallizes in a cubic unit cell with S2- ions on each
corner and each face....
asked 5 hours ago -
A. 0≤P(Oi)≤10≤P(Oi)≤1 for each i
B. P(Oi)≤0P(Oi)≤0
C. P(Oi)=1+P(OCi)P(Oi)=1+P(OiC)
D. P(Oi)≥1P(Oi)≥1
If an experiment consists of...
asked 7 hours ago -
A battery has an emf of 9.20V and an internal resistance of 1.20
ohm. a)What resistance...
asked 7 hours ago -
The area of an elastic circular loop decreases at a constant
rate, dA/dt = −6.60×10−3 m2/s...
asked 8 hours ago -
The denaturation of proteins can be described by the
equilibrium
F⇌U
where F and U represent...
asked 9 hours ago -
Please answer what the maximum and minimum force is, and the
angle on the ion is...
asked 9 hours ago