5 - Sinusoids Click to edit Master subtitle style Basic...

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Unformatted text preview: Sinusoids Click to edit Master subtitle style 9/4/11 Basic Cosine and Sine functions 9/4/11 • • • Let θ be a real valued angle measured in radians Since cos θ and sin θ are periodic with period equal to 2Π, for any positive or negative integer k, cosine function is symmetric, or more precisely, even­ symmetric about the origin, while the sine function is 9/4/11 Addition of Sinusoids • 9/4/11 Adding two sinusoids of the same frequency but different amplitudes and/or phases yields another sinusoid with that frequency Addition of Sinusoids • Using trigonometric identities, 9/4/11 9/4/11 • • • Example Express x(t) = cos ω0t ­ √3 sin ω0t as a single sinusoid Sketch the phasor addition of the sinusoids Solve this problem using Matlab Class Exercise 9/4/11 • • • Express x(t) =­3 cos ω0t + 4 sin ω0t as a single sinusoid Sketch the phasor addition of the sinusoids Solve this problem using Matlab ...
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5 - Sinusoids Click to edit Master subtitle style Basic...

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