Signal energy | Mathematics | Page 1

past birch Dec 10, 2024, 5:36 PM

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regal eagleBOT Dec 10, 2024, 5:36 PM

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past birch

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past birch Dec 10, 2024, 5:38 PM

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the question is to calculate for what value of w0 the energy is 70% of the total energy

valid quartzBOT Dec 11, 2024, 6:00 PM

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@past birch

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north bane Dec 11, 2024, 6:02 PM

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how much is the total energy?

past birch Dec 11, 2024, 6:41 PM

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north bane how much is the total energy?

I found 20

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for total energy

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@north bane

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the energy can be calculated by integral from -infinity to infinity of the modulus of x(t) squared

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but I did it via the Fourier Spectrum

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with the law of parseval

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its easier to calculate in Fourier spectrum

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but I dont know how to calculate w0

north bane Dec 12, 2024, 4:41 AM

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ok, so set the energy level = 14 for w0 and calculate w0

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write the expression for it

past birch Dec 12, 2024, 11:08 AM

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north bane write the expression for it

thats what I need help with bruh

north bane Dec 12, 2024, 2:35 PM

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z x y are all given, do more of what you already did

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this time its not -inf to inf but from -w0 to w0 .. bruh

past birch Dec 12, 2024, 5:10 PM

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I find 4 when doing that

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is that correct?

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@north bane

north bane Dec 12, 2024, 5:31 PM

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write the expression out

past birch Dec 12, 2024, 5:59 PM

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Yes but what is the correct answer?

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I find w0 = 4

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@north bane

north bane Dec 12, 2024, 6:06 PM

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show
me
what
you
are
integrating..

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i don't care what the correct answer is

past birch Dec 12, 2024, 6:07 PM

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so I just calculated the Fourier spectrum

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and its just rectangles

north bane Dec 12, 2024, 6:08 PM

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yes, good, show me specifics

past birch Dec 12, 2024, 6:08 PM

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so I just look at the surface under it

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its a rectangle with height 2 between -1 and 1

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and with value 1 from -7 to -1 and 1 to 7

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I will write out

past birch Dec 12, 2024, 6:32 PM

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Oh no I think I found it

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I find 8

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so option c

#Signal energy