20081ee102_1_Re-HW-2-SOLS

20081ee102_1_Re-HW-2-SOLS - WINTER 2008: Put First Letter *...

Info iconThis preview shows pages 1–3. Sign up to view the full content.

View Full Document Right Arrow Icon
WINTER 2008: Put First Letter * of LAST Name in the corner →→± (* Otherwise Your HW will be LOST) PRINT: (LAST, Middle, First): Nhan N.M.I. LEVAN HW: # 2 SOLUTIONS LATE HW Solutions Are STILL HW Solutions! Posted: 01/24/2008 1. Given the following IPOP relations of two L systems: (i) y ( t ) = x (4 t - 5) , t ( -∞ , ) S 1 (ii) y ( t ) = ± -∞ e ( τ - t ) U ( τ - t ) x ( τ ) d τ , t ( -∞ , ) S 2 Which system is TI, which one is C? ———————————————————————————————— (i) S 1 : x ( t ) -→ [ S 1 ] -→ y ( t ) = x (4 t - 5) Note: The action of S 1 is to “multiply” t (of x ( t )) by 4 then to “substract” 5 from 4 t . x ( t - A ) -→ [ S 1 ] -→ z ( t ) = x (4 t - A - 5) y ( t - A ) = x ( 4( t - A ) - 5 ) z ( t ) ² = y ( t - A ) S 1 : TV (ii) S 2 : x ( t ) -→ [ S 2 ] -→ y ( t ) = ² -∞ e ( τ - t ) U ( τ - t ) x ( τ ) d τ , t ( -∞ , ) y ( t ) = ² -∞ [ e - ( t - τ ) U ( - ( t - τ ))] x ( τ ) d τ , t ( -∞ , ) S 2 : L: BT: h 2 ( t - τ ) = e - ( t - τ ) U ( - ( t - τ )) T I 1
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
S 2 : C, the lower limit t : y ( t ) = ± t e - ( t - τ ) 1 x ( τ ) d τ , t ( -∞ , ) 2. (i) Write down the IRF h ( t, τ ) of the system of Problem 1(i). (ii) Given the IRF h ( t ) of a L,TI,C system: h ( t ) = t e - t U ( t ) , t ( -∞ , ) , and the input x ( t ) = δ ( t - 4) - ( t - 4) U ( t - 4) , t ( -∞ , ) . Find the corresponding output
Background image of page 2
Image of page 3
This is the end of the preview. Sign up to access the rest of the document.

This homework help was uploaded on 04/01/2008 for the course EE 102 taught by Professor Levan during the Spring '08 term at UCLA.

Page1 / 7

20081ee102_1_Re-HW-2-SOLS - WINTER 2008: Put First Letter *...

This preview shows document pages 1 - 3. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online