Chapter 4 SI (1)

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Mckenzie Henry Matlab Chapter 4.1 Question A)
Mckenzie Henry Matlab Question B)
Mckenzie Henry Matlab Question C) L= 80 L=20
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Mckenzie Henry Matlab Question d) When the filter is longer, it becomes more focused on a specific frequency, which naturally narrows down the range of frequencies it allows through. So, shorter filters let more frequencies pass through, while longer ones are harder and only let a narrow range through. 4.2) Question A)
Mckenzie Henry Matlab Question B) L=41
Mckenzie Henry Matlab L= 21 L=81
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Mckenzie Henry Matlab In those pictures, the longer the filter, the skinnier the range of frequencies it lets through. It's like zooming inlonger filters get super focused on one frequency, while shorter ones are more chill and let more stuff slide through. Question C) ? [? ]=2 0.134 +2(0.139)cos 0.1𝜋?+ 𝜋 −𝜋 +(1)cos 0.25𝜋?− 𝜋 +𝜋 33 ? ? =0.268+0.278cos 0.1𝜋?− 2𝜋 +cos 0.25𝜋?+ 2𝜋 Question D) The length 41 bandpass filter, like in section 4.2, lets through frequencies really close to 0.125Hz. It's the bandwidth of the filter that decides which frequencies make the cut. Anything within that range gets a bit toned down, but not so much that our receiver can't catch it. But the frequencies outside this range? They take a big hit. When they try to pass through the filter, their signal gets weakened a lot. That's why our receiver doesn't catch them—they've shrunk by more than half. You can see it all in diagram 4.2 Part A.

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