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4 cards from this section. Quick, good the night before a test.
What are the real and imaginary parts of e^{ix}?
Recall Euler's formula.
State Euler's formula.
It's the relationship between complex exponentials and trigonometric functions.
What is the real part of e^{ix}?
This can be found directly from Euler's formula.
The imaginary part of e^{ix} is?
Remember the components of Euler's formula.
Given the complex signal e^(i(2πn)), where n is an integer, describe how the signal behaves as n changes.
Consider how often sine and cosine repeat.
Using Fourier analysis, express a function with components a + b cos(x) + c sin(x) in the form of e^(ix). How would this aid in analysis?
Rewrite cos and sin using euler's formula.
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