BC:3.4 Consider the LTI (linear time invariant) dis- crete time systems with the following impulse re- sponses, h[n]. For each system, determine whether or not the system is causal or noncausal and whether or not the system is FIR (finite impulse response) or IIR (infinite impulse response). Give a brief justifi- cation. a.) b.) h[n] (100)¹-n sin (0.1πn)u[n - 3] h[n] (100)¹-n sin (0.1πn)u[n+3] = c.) h[n] (100)¹-n sin (0.1rn) (u[n +3]u[n - 3])
BC:3.4 Consider the LTI (linear time invariant) dis- crete time systems with the following impulse re- sponses, h[n]. For each system, determine whether or not the system is causal or noncausal and whether or not the system is FIR (finite impulse response) or IIR (infinite impulse response). Give a brief justifi- cation. a.) b.) h[n] (100)¹-n sin (0.1πn)u[n - 3] h[n] (100)¹-n sin (0.1πn)u[n+3] = c.) h[n] (100)¹-n sin (0.1rn) (u[n +3]u[n - 3])
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BC:3.4 Consider the LTI (linear time invariant) dis-
crete time systems with the following impulse re-
sponses, h[n]. For each system, determine whether
or not the system is causal or noncausal and whether
or not the system is FIR (finite impulse response) or
IIR (infinite impulse response). Give a brief justifi-
cation.
a.)
b.)
h[n] = (100)¹-n sin (0.1n)u[n - 3]
h[n] (100)¹-n sin (0.17n)u[n +3]
= =
c.)
h[n] (100)¹ sin (0.1πn) (u[n+3]u[n - 3])
=
d.)
h[n] = (121e-j0.15)3-nu[n-3]-(121e-0.15)3-nu[n-17]
e.)
h[n] = (121e-j0.15)3-nu[n-3]-(121e-j0.15″)17-nu[n-17]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F028a22e8-f094-478d-95cf-e0334af4f4a7%2F7285394a-2a0d-4c47-a28d-ee86d4fea0ff%2F26t7bcm_processed.jpeg&w=3840&q=75)
Transcribed Image Text:1
BC:3.4 Consider the LTI (linear time invariant) dis-
crete time systems with the following impulse re-
sponses, h[n]. For each system, determine whether
or not the system is causal or noncausal and whether
or not the system is FIR (finite impulse response) or
IIR (infinite impulse response). Give a brief justifi-
cation.
a.)
b.)
h[n] = (100)¹-n sin (0.1n)u[n - 3]
h[n] (100)¹-n sin (0.17n)u[n +3]
= =
c.)
h[n] (100)¹ sin (0.1πn) (u[n+3]u[n - 3])
=
d.)
h[n] = (121e-j0.15)3-nu[n-3]-(121e-0.15)3-nu[n-17]
e.)
h[n] = (121e-j0.15)3-nu[n-3]-(121e-j0.15″)17-nu[n-17]
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Step 1: State the given data.
VIEWStep 2: a. Checking the causality of the system (a).
VIEWStep 3: Checking whether the system (a) is FIR or IIR.
VIEWStep 4: b. Checking the causality of the system(b).
VIEWStep 5: Checking whether the system (b) is FIR or IIR.
VIEWStep 6: c. Checking the causality of the system(c).
VIEWStep 7: Checking whether the system (c) is FIR or IIR.
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