a.
d.
b. From the following transfer function of an IIR filter determine if the system is stable H(z) = 1-21, ¡ +1.08: 2 H221-0.63-2 This system is stable (True/false)? True False C. An IR filter has the following transfer function: 2+1 H(209+0.81 Fill in the values of the gain elements (an and bn) in the following Direct Form II diagram: y(n) x(n) b, b2-
Match the following magnitude response diagrams to their corresponding difference equations: 10 Difference Equation Options: Equation 1: n0.5in n Equation 2: gin-0.9y[n-1) + 0.5zIn] + 0.5zIn-1] Equation 3: у|n] -0.9y[n-1) + 0.5z[n1-0.5zIn-1] Equation 5: ln-0.9yn - 1] +9rn] +10n-1 Equation 6: n15588yn-1-0.81yn-2n Graph A IChoose ] Graph B Choose ] Graph C IChoose ] Graph D IChoose ] Graph E Choose ] Graph F I Choose]
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a. d. Match the following z-plane diagrams to their corresponding difference equations 1.5 1.5 0.5 .' 05 05 05 Re...
I need help with this question. Thanks DI Question 9 15 Match the following magnitude response diagrams to their corres...
I need help with this question. Thanks
DI Question 9 15 Match the following magnitude response diagrams to their corresponding difference equations 10 Difference Equation Options: Equation 2: ahl 0.9㣺. 11+0.5% n] T 0.5zh 1] Equation 5: y[n] 0.9uln 11-3 Graph A Choose] Graph B Chocce Graph C Chocel Graph D Choose Graph E Choose] Graph F Chocel
DI Question 9 15 Match the following magnitude response diagrams to their corresponding difference equations 10 Difference Equation Options: Equation 2: ahl...
a.b. c. d. An FIR filter has the transfer function: If the following input sequence is entered into this filter: This will result in the output y[n] In the blank space provided, enter the length of t...
a.b.
c.
d.
An FIR filter has the transfer function: If the following input sequence is entered into this filter: This will result in the output y[n] In the blank space provided, enter the length of the output sequence yin). Give a numerical answer for this. N, Determine the transfer function of the filter whose z-plane is given below. 0.5 -0.5 0.5 0.5 1.5 Real Part Enter the filter coefficient into the blank spaces below H(z) -2 An FIR filter...
a. b. c. d. An IIR filter has the difference equation: y'n Select the correct transfer function for this system...
a.
b.
c.
d.
An IIR filter has the difference equation: y'n Select the correct transfer function for this system from the selections below. 2+1.2 No transfer function exists for this system. H(0.5+1.2Y(2)21 2+0.5 H(2)220.5z +1.2 An IIR filter has the transfer function: H(z) 22 +0.92-0.14 Select the correct impulse response for this system from the selections below hn 2(0.2)n-1un - 1] - 2(0.7)n-uln - 1 -hin] = 2(-0.2)"u[n]-2(-0.7)"u[n] hin] = 2(-0.2)"-iuln-11-2(-0.7)"-1 u[n-1] No impulse response exists for this system....
3.1 When is a LTI system stable? (2) 3.2 The following signals are sampled every 0.5...
3.1 When is a LTI system stable? (2) 3.2 The following signals are sampled every 0.5 seconds, beginning at t=0. Find the z- transform of the sampled functions. xi(t) = e-- 3.3 Use the z-transform tables to find the inverse transform of the following function. Give a sketch of f(n). (6) F(z) = 23 -0.5 3.4 Find the impulse response of the filter characterized by the following transfer function by applying a unit impulse to the system. (6) H(2) 1...
show all calculations 0.5 a) Hz(2) is a type-3 GLP filter and it has a zero...
show all calculations
0.5 a) Hz(2) is a type-3 GLP filter and it has a zero at Z - j. Find Hz(Z) b) Convert Hz(2) to Hz(es) then calculate Hz (e)and H, (e- c) What is the relationship between the results of part (a) and part(b)? 0.6 Hap(Z) is a real all-pass filter and it has a pole at Z = + and another pole at Za bmZ- MM M Construct Hap(Z) as one block and without fractions, i.e. H(Z)...
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...
Question 2 (10 points) Show all your work) inear time-invariant filter has the following transfer function: 1-3z H(z) 221리> 1+z-z 2 a) Is this filter an IIR or FIR? Explain. b) (1 point) What is...
Question 2 (10 points) Show all your work) inear time-invariant filter has the following transfer function: 1-3z H(z) 221리> 1+z-z 2 a) Is this filter an IIR or FIR? Explain. b) (1 point) What is the order of this filter? (1 point) (1 point) 5 points) c) Is this filter stable? Explain. d) Determine the impulse response of the system. e) Determine the difference-equation description for the system. (2 points) nd order
Question 2 (10 points) Show all your work)...
A causal LTI system is described by the following difference equation:
A causal LTI system is described by the following difference equation: y(n) – Ay(n-1) - 2A2y(n − 2) = x(n) – 2x(n-1) + x(n–2), where A is a real constant. Determine the z-domain transfer function, H(z), of the system in terms of A.
1.Using the transformed-Z unilateral determine and [n] for n20 for 7t With y [-1] 1 2. it wants to design a system,...
1.Using the transformed-Z unilateral determine and [n] for n20 for 7t With y [-1] 1 2. it wants to design a system, linear and invariant in the time with the property that for the entry unun 1 The corresponding output is 2) un) determine the transfer function H (z) and the response to the impulse H [n] of the would fulfill the response condition system that Graph the map of poles and zeros in the complex plane. . Find the...
(a) Given the following periodic signal a(t) a(t) -0.5 -0.25 0 0.25 0.5 0.75 1 1.25 1.5 i. [2%) Determine the fundamental period T ii. [5%] Derive the Fourier series coefficients of x(t). iii. [396]...
(a) Given the following periodic signal a(t) a(t) -0.5 -0.25 0 0.25 0.5 0.75 1 1.25 1.5 i. [2%) Determine the fundamental period T ii. [5%] Derive the Fourier series coefficients of x(t). iii. [396] Calculate the total average power of z(t). iv. [5%] If z(t) is passed through a low-pass filter and the power loss of the output signal should be optimized to be less than 5%, what should be the requirement of cutoff frequency of the low-pass filter?...
I need help with this question. Thanks
DI Question 9 15 Match the following magnitude response diagrams to their corresponding difference equations 10 Difference Equation Options: Equation 2: ahl 0.9㣺. 11+0.5% n] T 0.5zh 1] Equation 5: y[n] 0.9uln 11-3 Graph A Choose] Graph B Chocce Graph C Chocel Graph D Choose Graph E Choose] Graph F Chocel
DI Question 9 15 Match the following magnitude response diagrams to their corresponding difference equations 10 Difference Equation Options: Equation 2: ahl...
a.b.
c.
d.
An FIR filter has the transfer function: If the following input sequence is entered into this filter: This will result in the output y[n] In the blank space provided, enter the length of the output sequence yin). Give a numerical answer for this. N, Determine the transfer function of the filter whose z-plane is given below. 0.5 -0.5 0.5 0.5 1.5 Real Part Enter the filter coefficient into the blank spaces below H(z) -2 An FIR filter...
a.
b.
c.
d.
An IIR filter has the difference equation: y'n Select the correct transfer function for this system from the selections below. 2+1.2 No transfer function exists for this system. H(0.5+1.2Y(2)21 2+0.5 H(2)220.5z +1.2 An IIR filter has the transfer function: H(z) 22 +0.92-0.14 Select the correct impulse response for this system from the selections below hn 2(0.2)n-1un - 1] - 2(0.7)n-uln - 1 -hin] = 2(-0.2)"u[n]-2(-0.7)"u[n] hin] = 2(-0.2)"-iuln-11-2(-0.7)"-1 u[n-1] No impulse response exists for this system....
3.1 When is a LTI system stable? (2) 3.2 The following signals are sampled every 0.5 seconds, beginning at t=0. Find the z- transform of the sampled functions. xi(t) = e-- 3.3 Use the z-transform tables to find the inverse transform of the following function. Give a sketch of f(n). (6) F(z) = 23 -0.5 3.4 Find the impulse response of the filter characterized by the following transfer function by applying a unit impulse to the system. (6) H(2) 1...
show all calculations
0.5 a) Hz(2) is a type-3 GLP filter and it has a zero at Z - j. Find Hz(Z) b) Convert Hz(2) to Hz(es) then calculate Hz (e)and H, (e- c) What is the relationship between the results of part (a) and part(b)? 0.6 Hap(Z) is a real all-pass filter and it has a pole at Z = + and another pole at Za bmZ- MM M Construct Hap(Z) as one block and without fractions, i.e. H(Z)...
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...
Question 2 (10 points) Show all your work) inear time-invariant filter has the following transfer function: 1-3z H(z) 221리> 1+z-z 2 a) Is this filter an IIR or FIR? Explain. b) (1 point) What is the order of this filter? (1 point) (1 point) 5 points) c) Is this filter stable? Explain. d) Determine the impulse response of the system. e) Determine the difference-equation description for the system. (2 points) nd order
Question 2 (10 points) Show all your work)...
1.Using the transformed-Z unilateral determine and [n] for n20 for 7t With y [-1] 1 2. it wants to design a system, linear and invariant in the time with the property that for the entry unun 1 The corresponding output is 2) un) determine the transfer function H (z) and the response to the impulse H [n] of the would fulfill the response condition system that Graph the map of poles and zeros in the complex plane. . Find the...
(a) Given the following periodic signal a(t) a(t) -0.5 -0.25 0 0.25 0.5 0.75 1 1.25 1.5 i. [2%) Determine the fundamental period T ii. [5%] Derive the Fourier series coefficients of x(t). iii. [396] Calculate the total average power of z(t). iv. [5%] If z(t) is passed through a low-pass filter and the power loss of the output signal should be optimized to be less than 5%, what should be the requirement of cutoff frequency of the low-pass filter?...
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