signals and systems
How to solve if coefficients are:
A= -2
B = 1
C = 2
Homework Answers
Y(z)=-2z/(z-1)+z/(z+1/2)+2z/(z-2)
(i) system is causal for x(n)=2^n u(n)
ROC : |z|>2
y(n)=-2*u(n)+(-1/2)n u(n)+2(2)nu(n)
(ii) system is stable , x(n)=2*u(-n-1)
input is anticausal,
System is stable means ROC contains the unit circle,
Hence ROC |z|<2
Y(n)=2u(-n-1)-(-1/2)n u(-n-1)-2(2)nu(-n-1)
(iii) causal and stable ,ROC of input is |z|<1
y(n)=(-1/2)u(n)
Add Answer to:
signals and systems
How to solve if coefficients are:
A= -2
B = 1
C =...
a = 3 signals and systems 1) [10 pts. Let a system be defined as ta...
a = 3
signals and systems
1) [10 pts. Let a system be defined as ta y(t) x(31 - 2a)dt 2a Is this system b) No b) No b) No vii) memoryless? a) Yes viii) Linear? a) Yes ix) Time invariant? a) Yes x) Causal? a) Yes xi) BIBO stable? a) Yes 2) [5 pts. What is the impulse response h(t)? 3) [10 pts.] Let a signal in s domain b) No b) No 2 Y(S) Sa What is the...
Please solve the following with full steps. 2. Given the following z-transform of the impulse response h [n], of a causal LTI system Ti H1 (z) = (,-1)(z-0.5) (a) Find hin (b) Verify the first three no...
Please solve the following
with full steps.
2. Given the following z-transform of the impulse response h [n], of a causal LTI system Ti H1 (z) = (,-1)(z-0.5) (a) Find hin (b) Verify the first three non-zero values of hi[n] using long division. (c) Find the z transform Hs(z) of hs[n]-2"hi[n], and specify the ROC. (d) Find thez transform H4() of han+n -1], and specify the ROC. e) Find the impulse response, hs[n], of the system Ts, which is the...
2. Short-answer questions on various topics (20 marks total) In each case, clearly explain the reasoning...
2. Short-answer questions on various topics (20 marks total) In each case, clearly explain the reasoning behind your answer. a. (3 marks) A causal LTI system has an impulse response h[n], having an even component he[n] and an odd component ho[n]. The portion of he[n] for n > 0 is he[n] = 0.5(0.32)", n > 0. Determine the complete description of he[n], ho[n], and h[n]. b. (3 marks) A system has the transfer function z– 7z+6 H(2) = 22 -0.12...
need answers for all 1. Which terminology correctly defines the system property described below? (2 pts)...
need answers for all
1. Which terminology correctly defines the system property described below? (2 pts) A system is stationary and does not vary over time. (a) Linearity (b) Time invariance (c) Periodicity (d) Causality 2. Which terminology correctly defines the system property described below? (2 pts) (a) Linearity (b) Time invariance (c) Periodicity (d) Causality 3. Which is true about a linear and time-invariant (LTI) system? (2 pts) (a) The system's output is always equivalent to an impulse reponse....
The given input signal for 2.7.2 is: x(t) = 3 cos(2 π t) + 6 sin(5 π t). Plz explain ...
The given input signal for 2.7.2 is: x(t) = 3 cos(2
π t) + 6 sin(5 π t).Plz explain steps.Given a causal LTI system described by the differential equation find \(H(s),\) the \(\mathrm{ROC}\) of \(H(s),\) and the impulse response \(h(t)\) of the system. Classify the system as stable/unstable. List the poles of \(H(s) .\) You should the Matlab residue command for this problem.(a) \(y^{\prime \prime \prime}+3 y^{\prime \prime}+2 y^{\prime}=x^{\prime \prime}+6 x^{\prime}+6 x\)2.7.2 The signal \(x(t)\) in the previous problem is...
Please show full Calculations for part C) 1. Consider the following causal LTI systems with difference...
Please show full Calculations for part C)
1. Consider the following causal LTI systems with difference equations (a) yIn]+3 y[n-1]+2y[n-2] - x[n] + 2xln-1] (b) y[n] +0.8 y[n-21 x[n-1]. (c) y[n] -0.5 yln-2 2x[n] -xln-21]. In each of cases a,b and c i) Find and sketch the impulse response, hin) by recursive solution. ii) Is the system FIR or IIR ? ii) Find and sketch the corresponding step response, s[n] iv) Draw the direct form & direct-form Il structures for...
signals and systems Question 1 (30%): Consider a LTI systern which is comprised of four subsystems...
signals and systems
Question 1 (30%): Consider a LTI systern which is comprised of four subsystems whose impulse responses are hi(t), h2(t). ha(t), and ha(t). u(t) f(t) hi(t) h2(t) 13 ha(1) Where: hi (t) = δ(t + 1) h2(t) = 2(u(t)-u(t-1)] hs(t) = 201t-2) h1(t) = u(t + 2)-u(t) a) (8%) Compute the overall impulse response htotal(t) of the system comprised of hi(t), h2(t), hs(t), and h4(t). Sketch and write the expression for htotai(t) b) (4%) Is the total system...
Could you please help with the following parts: a. b. c. A system has the impulse response of. If the following signal is input into this system: Enter the output of this system (y[지) into the bla...
Could you please help with the following parts:
a.
b.
c.
A system has the impulse response of. If the following signal is input into this system: Enter the output of this system (y[지) into the blank space provided (use π = pi in equations, eg. 1 +2cos(0.5pin) = 12 cos(0.5Tn)) The magnitude response of a discrete-time filter is plotted between the range-4T ώ +6x and is shown below. 10 -2 0 Normalised Radian frequency x Tm What type of...
12 • 171 T- (6) Figure 1 (b) Consider the interconnection of the LTI systems shown...
12 • 171 T- (6) Figure 1 (b) Consider the interconnection of the LTI systems shown in Figure 2 below. (1) Find the impulse response h[n] of the total system. (ii) Determine and sketch the total impulse response h[n] if ht[n]= 8[n-1], h2[n] = 3u[n+4], h3[n] = -3u[n-2], and he[n] = 8[n+4]. xin that the syn] - Paragraph -
5 pts D Question 1 A system has the following impulse response: .2 Sample number, n From the choices below, select the frequency response of this system. H (eju)-e(1.5 ) (2 sin( 1.5ώ) +...
5 pts D Question 1 A system has the following impulse response: .2 Sample number, n From the choices below, select the frequency response of this system. H (eju)-e(1.5 ) (2 sin( 1.5ώ) + 4 sin(0.δώ)) H (ee) = e-j(1.5e-5) (cos( 1.5 ) +2 cos(0.54)) @ H (ee)-e-n1.si) (sin( 1.54) t. 2 sin(0.δώ)) (sin(l.50) +4sin(0.0) H (ee)-e-j(1.5i) (2 cos( 1.5ώ) + 4 cos(0.5a)) H (efo)-e-n1.5u) (cos( 1.50) + 2 cos(0.50)) https://rmitinstructure.comcoursesy 5 pts DQuestion 2 A system has the following...
a = 3
signals and systems
1) [10 pts. Let a system be defined as ta y(t) x(31 - 2a)dt 2a Is this system b) No b) No b) No vii) memoryless? a) Yes viii) Linear? a) Yes ix) Time invariant? a) Yes x) Causal? a) Yes xi) BIBO stable? a) Yes 2) [5 pts. What is the impulse response h(t)? 3) [10 pts.] Let a signal in s domain b) No b) No 2 Y(S) Sa What is the...
Please solve the following
with full steps.
2. Given the following z-transform of the impulse response h [n], of a causal LTI system Ti H1 (z) = (,-1)(z-0.5) (a) Find hin (b) Verify the first three non-zero values of hi[n] using long division. (c) Find the z transform Hs(z) of hs[n]-2"hi[n], and specify the ROC. (d) Find thez transform H4() of han+n -1], and specify the ROC. e) Find the impulse response, hs[n], of the system Ts, which is the...
2. Short-answer questions on various topics (20 marks total) In each case, clearly explain the reasoning behind your answer. a. (3 marks) A causal LTI system has an impulse response h[n], having an even component he[n] and an odd component ho[n]. The portion of he[n] for n > 0 is he[n] = 0.5(0.32)", n > 0. Determine the complete description of he[n], ho[n], and h[n]. b. (3 marks) A system has the transfer function z– 7z+6 H(2) = 22 -0.12...
need answers for all
1. Which terminology correctly defines the system property described below? (2 pts) A system is stationary and does not vary over time. (a) Linearity (b) Time invariance (c) Periodicity (d) Causality 2. Which terminology correctly defines the system property described below? (2 pts) (a) Linearity (b) Time invariance (c) Periodicity (d) Causality 3. Which is true about a linear and time-invariant (LTI) system? (2 pts) (a) The system's output is always equivalent to an impulse reponse....
The given input signal for 2.7.2 is: x(t) = 3 cos(2
π t) + 6 sin(5 π t).Plz explain steps.Given a causal LTI system described by the differential equation find \(H(s),\) the \(\mathrm{ROC}\) of \(H(s),\) and the impulse response \(h(t)\) of the system. Classify the system as stable/unstable. List the poles of \(H(s) .\) You should the Matlab residue command for this problem.(a) \(y^{\prime \prime \prime}+3 y^{\prime \prime}+2 y^{\prime}=x^{\prime \prime}+6 x^{\prime}+6 x\)2.7.2 The signal \(x(t)\) in the previous problem is...
Please show full Calculations for part C)
1. Consider the following causal LTI systems with difference equations (a) yIn]+3 y[n-1]+2y[n-2] - x[n] + 2xln-1] (b) y[n] +0.8 y[n-21 x[n-1]. (c) y[n] -0.5 yln-2 2x[n] -xln-21]. In each of cases a,b and c i) Find and sketch the impulse response, hin) by recursive solution. ii) Is the system FIR or IIR ? ii) Find and sketch the corresponding step response, s[n] iv) Draw the direct form & direct-form Il structures for...
signals and systems
Question 1 (30%): Consider a LTI systern which is comprised of four subsystems whose impulse responses are hi(t), h2(t). ha(t), and ha(t). u(t) f(t) hi(t) h2(t) 13 ha(1) Where: hi (t) = δ(t + 1) h2(t) = 2(u(t)-u(t-1)] hs(t) = 201t-2) h1(t) = u(t + 2)-u(t) a) (8%) Compute the overall impulse response htotal(t) of the system comprised of hi(t), h2(t), hs(t), and h4(t). Sketch and write the expression for htotai(t) b) (4%) Is the total system...
Could you please help with the following parts:
a.
b.
c.
A system has the impulse response of. If the following signal is input into this system: Enter the output of this system (y[지) into the blank space provided (use π = pi in equations, eg. 1 +2cos(0.5pin) = 12 cos(0.5Tn)) The magnitude response of a discrete-time filter is plotted between the range-4T ώ +6x and is shown below. 10 -2 0 Normalised Radian frequency x Tm What type of...
12 • 171 T- (6) Figure 1 (b) Consider the interconnection of the LTI systems shown in Figure 2 below. (1) Find the impulse response h[n] of the total system. (ii) Determine and sketch the total impulse response h[n] if ht[n]= 8[n-1], h2[n] = 3u[n+4], h3[n] = -3u[n-2], and he[n] = 8[n+4]. xin that the syn] - Paragraph -
5 pts D Question 1 A system has the following impulse response: .2 Sample number, n From the choices below, select the frequency response of this system. H (eju)-e(1.5 ) (2 sin( 1.5ώ) + 4 sin(0.δώ)) H (ee) = e-j(1.5e-5) (cos( 1.5 ) +2 cos(0.54)) @ H (ee)-e-n1.si) (sin( 1.54) t. 2 sin(0.δώ)) (sin(l.50) +4sin(0.0) H (ee)-e-j(1.5i) (2 cos( 1.5ώ) + 4 cos(0.5a)) H (efo)-e-n1.5u) (cos( 1.50) + 2 cos(0.50)) https://rmitinstructure.comcoursesy 5 pts DQuestion 2 A system has the following...
Most questions answered within 3 hours.
-
Calculate the pH of each of the following solutions.
0.50 M HBr
3.1×10−4 M KOH
4.2×10−5...
asked 1 hour ago -
For the year ended December 31, Depot Max’s cost of merchandise
sold was $85,600. Inventory at the...
asked 1 hour ago -
Week 10 - Professional Memo Assignment
Professional Memo Assignment
Your mission for this week, should you...
asked 1 hour ago -
Write a Python program that stores the data for each
player on the team, and it...
asked 1 hour ago -
In
the last 3 months, mike never knows when he is going to get his
allowance...
asked 1 hour ago -
Is Ca(OH)2 a Bronsted base, Lewis base, or both? Why?
asked 1 hour ago -
1A- Why don’t voters complain about U.S. tariffs on imported
sugar?
Because sugar is only a...
asked 1 hour ago -
Cash Payback Period
Primera Banco is evaluating two capital investment proposals for
a drive-up ATM kiosk,...
asked 1 hour ago -
Create a button in Swift (Xcode) that will create a charge,
create a charge using Stripe's...
asked 1 hour ago -
The reaction rate of CO and NO2 in the reaction
CO(g) + NO2(g) → CO2(g) +...
asked 1 hour ago -
Imagine that a chemist puts 6.40 mol each of
C3H8 and O2 in a 1.00-L container...
asked 2 hours ago -
How much money should be invested today in order to have $8340
at the end of...
asked 2 hours ago