Q1) Show that the FIR filter h(n₁, n₂) with the impulse response given below is BIBO stable. 1/4 1/2 1/4 1/2 1 1/2 1/4 1/2 1/4 where, h(0,0) = 1 Q2) Calculate the z-transform H(Z₁, Z2) of the above filter. Q3) Show that the above filter is separable H(z₁,z₂) = H₁(z₁)H₁ (2₂) and find H₁ (Z₁).
Q1) Show that the FIR filter h(n₁, n₂) with the impulse response given below is BIBO stable. 1/4 1/2 1/4 1/2 1 1/2 1/4 1/2 1/4 where, h(0,0) = 1 Q2) Calculate the z-transform H(Z₁, Z2) of the above filter. Q3) Show that the above filter is separable H(z₁,z₂) = H₁(z₁)H₁ (2₂) and find H₁ (Z₁).
Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
Section: Chapter Questions
Problem R1RQ: What is the difference between a host and an end system? List several different types of end...
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first 3 only please asnwer them with as much work as you can
![Q1) Show that the FIR filter h(n₁, n₂) with the impulse response given below is BIBO stable.
1/4
1/2
1/4
1/2
1
1/2
1/4
1/2
1/4
where, h(0,0) = 1
Q2) Calculate the z-transform H(Z₁, Z2₂) of the above filter.
Q3) Show that the above filter is separable H(z₁,z₂) = H₁(z₁)H₁ (2₂) and find H₁ (Z₁).
Q4) Calculate the DTFT-transform H (@₁, W₂) of the above filter.
Q5) Show that the above filter is separable H (W₁, W₂)
Q6) Calculate the convolution y of h with x[n₁, n₂]
or z-transform.
=
= H₁ (w₁) H₁ (w₂) and find H₁ (₁).
28(n₁, n₂) + 8(n₁ - 1, n₂) using either DTFT](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F79b292ff-e294-4445-84a4-2da9891a32be%2Fe69a3fc6-d405-46b9-b2f3-b2560e1a0f1f%2Flmae1sj_processed.png&w=3840&q=75)
Transcribed Image Text:Q1) Show that the FIR filter h(n₁, n₂) with the impulse response given below is BIBO stable.
1/4
1/2
1/4
1/2
1
1/2
1/4
1/2
1/4
where, h(0,0) = 1
Q2) Calculate the z-transform H(Z₁, Z2₂) of the above filter.
Q3) Show that the above filter is separable H(z₁,z₂) = H₁(z₁)H₁ (2₂) and find H₁ (Z₁).
Q4) Calculate the DTFT-transform H (@₁, W₂) of the above filter.
Q5) Show that the above filter is separable H (W₁, W₂)
Q6) Calculate the convolution y of h with x[n₁, n₂]
or z-transform.
=
= H₁ (w₁) H₁ (w₂) and find H₁ (₁).
28(n₁, n₂) + 8(n₁ - 1, n₂) using either DTFT
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