Question

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 impulse response: hinl -0.56n]-n 10.56n-2] From the choices below, select the correct output of the system assuming the following signal was input into the system: x[n] = 3 + 2 cos( -n) + 2 cos(m) yin] 2cos(n) y[n] = 3 + 2 cos (플 n-r) + 2 cos(m) yn]2 cos(n +4 cos(m) yin] 6+2cos( https://rmitinstructure.com/courses/5341... 5 pts D Question 3 A system has the following impulse response What is the period of the frequency response of this system (in normalised radian frequency)? 1.5 01 e 0.5 Question 4 5 pts A system has the following difference equation: y[n] = 0.5z[n] + x[n-1] + 0.5x[n-2] The signal z [n] = cos ( 플n ) u[n] is input into this system to produce the (steady- state) signal: yln] = 0,5 cos(쯤n-2) for n > 1 n _ 플)for n > 1 Select the correct values of the samples in the transient region ([0) and y[1]) of this signal. @ y[O] 1 [1] = 0.5 110] = 0.5 [1] 0.75 y/0-0.25 311] 1 10)--0.25 y|1] = 0.5 D Question 5 10 pts A system has the following frequency response: In the blank space provided enter the impulse response coefficients for this system: h(n) 6(n)+ 6(n -1)+ 6(n 2) Note: Due to Canvas' syntax for these types of quiz questions round-brackets have had to be used instead of square for the &(n - N) terms. D Question 5 10 pts A system has the following frequency response: In the blank space provided enter the impulse response coefficients for this system: h(n) 6(n)+ 6(n -1)+ 6(n 2) Note: Due to Canvas' syntax for these types of quiz questions round-brackets have had to be used instead of square for the &(n - N) terms. 숄 https://rmit.instructure.com/courses/5341.. ☆回@ DQuestion 7 10 pts The magnitude response of a discrete-time filter is plotted between the range +6π and is shown below: -4π 10 .3 Normalised Radian frequency x π What type of filter is this most likely to be? [Select ] [Select] None of the above Band Stop Filter 15 pts DI | High Pass Filter Band Pass Filter pulse Low Pass Filter response 을 https://rmitinstructure.com/courses/5341,.. ☆ D Question 6 10 pts A system has the impulse response of: If the following signal is input into this system: n-1) z[n] = 2 + cos Enter the output of this system (y/n]) into the blank space provided (use π = pi in equations, eg. 1 +2cos(05pin) = 1+ 2 cos(0.57n)): gin]- D Question 7 10 pts The magnitude response of a discrete-time filter is plotted between the range 숄 https://rmit.instructure.com/courses/5341.. ☆回@ DQuestion 7 10 pts The magnitude response of a discrete-time filter is plotted between the range +6π and is shown below: -4π 10 .3 Normalised Radian frequency x π What type of filter is this most likely to be? [Select ] [Select] None of the above Band Stop Filter 15 pts DI | High Pass Filter Band Pass Filter pulse Low Pass Filter response A system has the following impulse response: h[n] = δ[n]-81-4] From the selections below, match the correct outputs from this system to the corresponding inputs: Outputs Inputs ) Output l: y[n] = 6 cos(H Input 1: z[n] δ[n-2] Input 2: z[n] = cos -0.2r) dutput 2: y[n] = 4 cos(등 n-4) Input 3 iOutput 3: nl--2-6in ol Input 5: z[n] = 4 + 3cos( Output 4: y[n] = δ[n]-δ[r-4] Input 4: z[n] 2 cos(π(n-1)/4) +:) Output 6: Vİn] = 2cos( dutput 5: y[n] = 0 ) Output 7: z[n] = 4 cos(r(n-1)/4 input 1 Choose] [Choose] input 2 Output 4 Output 6 Input 3 Output 5 Output 3 Output 1 input 4 Output 7 Output 2 Input 5 2 15 pts Question 9 Two systems are cascaded together as shown in the top diagram: 15 pts Question 9 Two systems are cascaded together as shown in the top diagram: LTI 2 yn Equivalent LTI Systemn These two systems have the frequency responses of LTI 2-H2(+)-1-e-y Using these two frequency responses determine the equivalent LTI system's (shown in the bottom diagram) impulse response (h(n)). Enter the coefficients of this impulse response into the blank spaces provided. 6(n) + h(n) $(n-11+ s(n -2) Note: Due to Canvas' syntax for these types of quiz questions round-brackets have had to be used instead of square for the &(n - N) terms

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