This preview shows pages 1–3. Sign up to view the full content.
This preview has intentionally blurred sections. Sign up to view the full version.View Full Document
Unformatted text preview: H ( s ) = K ( s-0) ( s-1)( s + 1) 2 Where K is a constant to be determined by you. Ask yourself: Why do I need to have K ? 2. (a) The amplitude and the phase of a periodic signal x ( t ) , with period T , is | X n | = 1 n 2 + 1 , Θ n = n π 2 , n = 0 , ± 1 , ± 2 , ..... Write down the Fourier Sine-Cosine series of x ( t ). (b) The signal x ( t ) of part (a) is now applied to a L, TI, C system de-scribed by d 2 y ( t ) dt 2 + 2 dy ( t ) dt + y ( t ) = x ( t ) , y (0) = 0 = ˙ y (0) Compute the amplitude and phase of the corresponding output. 3. Write down the FS representation of f ( t ) := sin 2 t cos 3 t,-∞ < t < ∞ . 4. Compute the FT F ( · ) of the following signals: (i) f ( t ) = e at , t < , = e-at , t ≥ , where a > 0. (ii) f ( t ) = te-t U ( t ) In each case calculate |F ( i ω ) | and θ ( ω ). 5. Text, #5.2. 2...
View Full Document
This note was uploaded on 04/03/2009 for the course EE 102 taught by Professor Levan during the Fall '08 term at UCLA.
- Fall '08