Fourier Flashcards

1
Q

Write down a signal’s function of time which can be an eigenfunction after an LTI?

A
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2
Q

Why are complex exponentials useful for expressing periodic signals?

A

We can express any perisodic signal as a weighted sum of complex exponentials. That is because complex exponentials can form an orthogonal basis in the function space => periodic functions can be decomposed into a sum of projections onto this basis

The dot product of two exponentials is the Kronecker-Delta function <=> 0 if the two exponentials are not the same (=>orthogonal)

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3
Q

Synthesis equation

A
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4
Q

How to find a0

A
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5
Q

Derive analysis equation from the synthesis equation

A
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6
Q

what does it mean if a^*_n= a_n

A

The function is real

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7
Q
A
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