Question

In: Advanced Math

fourier transform of the following with steps: x(t) = z(t) + z(t - 30) x(t) =...

fourier transform of the following with steps:

x(t) = z(t) + z(t - 30)

x(t) = z(2*t) + z(t + 30)

x(t) = z^(2)(t)

Solutions

Expert Solution

1)

we have to find the Fourier transform of,

we can write,

we know that according to linearity property of fourier transform,

Hence,

we know that,

Hence,

2)

we have to find the Fourier transform of,

we can write,

we know that according to linearity property of fourier transform,

Hence,

we know that,

Hence,

3)

we have to find the Fourier transform of,

we can write,

we know that,

Hence,

Colby Messinger answered 1 year ago
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