P-7.7 The convolution property of the DTFT can simplify difficult operations that arise in LTI filtering. Simplify the following: sin(0.25An) sin(0.44n) (a) x[n] = 9лп Απη sin(0.257n) sin(0.257n) sin(0.257n) (b) x2[n] = 9πη 7an (c) x3[n] = (0.3)"u[n] * (108[n – 2] – 38[n – 3])
P-7.7 The convolution property of the DTFT can simplify difficult operations that arise in LTI filtering. Simplify the following: sin(0.25An) sin(0.44n) (a) x[n] = 9лп Απη sin(0.257n) sin(0.257n) sin(0.257n) (b) x2[n] = 9πη 7an (c) x3[n] = (0.3)"u[n] * (108[n – 2] – 38[n – 3])
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Digital signals and Filtering
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![P-7.7 The convolution property of the DTFT can simplify difficult operations that arise
in LTI filtering. Simplify the following:
sin(0.25n) sin(0.447n)
(a) xi[n] =
*
9nn
sin(0.257n) sin(0.25tn)
(b) x2[n] =
9πη
Ίπη
(c) x3[n] = (0.3)" u[n] * (108[n – 2] – 38[n – 3])](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F22499db0-d22f-4756-b954-120799dc3fe6%2F3190e74a-275b-4e67-a88c-9d6db96a4d0f%2F2k23y5g_processed.jpeg&w=3840&q=75)
Transcribed Image Text:P-7.7 The convolution property of the DTFT can simplify difficult operations that arise
in LTI filtering. Simplify the following:
sin(0.25n) sin(0.447n)
(a) xi[n] =
*
9nn
sin(0.257n) sin(0.25tn)
(b) x2[n] =
9πη
Ίπη
(c) x3[n] = (0.3)" u[n] * (108[n – 2] – 38[n – 3])
![P-7.8 The frequency response of an LTI system is H(ei@) = cos(3ô). Determine the
output of the system for each of the following input signals:
(a) x1[n] = 8[n – 3]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F22499db0-d22f-4756-b954-120799dc3fe6%2F3190e74a-275b-4e67-a88c-9d6db96a4d0f%2F0smgu3_processed.jpeg&w=3840&q=75)
Transcribed Image Text:P-7.8 The frequency response of an LTI system is H(ei@) = cos(3ô). Determine the
output of the system for each of the following input signals:
(a) x1[n] = 8[n – 3]
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