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Lab2 崔俞崧 赵奕帆 11811305 118120111
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2022-08-08
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IntroductionAuthorName: 崔俞崧 赵奕帆 Student ID: 11811305 11812011IntroductionIn the
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Introduction
Author
Name: 崔俞崧 赵奕帆 Student ID: 11811305 11812011
Introduction
1. In the problem 2.4, we verified the commutative, associative and distributive properties of
convolution for a specific set of signals. And mainly uses the conv() to solve this problem.
2. In the problem 2.5, we mainly use the conv() and filter() functions to solve the problems. We
learned the system properties of linearity and time-invariance.
3. In the problem 2.10, we learned how to remove the echo of a recording of speech signal.
Lab results & Analysis:
Problem 2.4
The figure is shown below
The output results are as below. We can figure out that the answer is regardless of the order.
The two methods gave the same result. So the distributive property is verified.
The results are the same. So the associative property is verified.
As shown below, we can see that when using the commutative property, the outputs are the
same if changing the input and impulse response of the system
𝑦
𝑒
1
[
𝑛
]
𝑎𝑛𝑑
𝑦
𝑒
2
[
𝑛
]
. And we can
know that
𝑦
𝑒
1
[
𝑛
―
𝑛
0
]
=
𝑦
𝑒
2
[
𝑛
]
.
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