20065ee102_1_102-F06-HW-2[1]

20065ee102_1_102-F06-HW-2[1] - FALL 2006 Put First Letter...

Info iconThis preview shows pages 1–2. Sign up to view the full content.

View Full Document Right Arrow Icon
FALL 2006 Put First Letter of LAST Name in the corner →→→% Name (LAST, Middle, First):———————— ——————————— EE102: SYSTEMS & SIGNALS HW :#2 ALATEHWISNOTAHW ! Posted: October 12 Hand In: October 18 Attach This Sheet To Your HW 1. Let x ( · ) and y ( · ) denote input and corresponding output of a system S , respectively. Given the following IPOP relations: (i) y ( t )= x (4 t ) ,t ( −∞ , ) , (ii) y ( t R −∞ e t ( t τ ) U ( τ t ) x ( τ ) dτ, t ( −∞ , ) . In each case verify whether S is: L, TI, Causal . 2. (i) Use BT to write down the IRF h ( t, τ ) of the system of Problem 1(ii). (ii) Given the IRF h ( t ) of a L,TI,C system: h ( t e t U ( t ) ( −∞ , ) , and the input x ( t δ ( t ) e t U ( t 4) ( −∞ , ) . Find the corresponding output y ( t ). (iii) A system S whose IPOP relation is b ( t )=2 Z t −∞ a ( τ ) dτ, where a ( t ) and b ( t ) denote input and output, respectively. Find the IRF h ( t ) of S , and ±nd its response due the input U ( t ) — called the step response denoted by g ( t ).
Background image of page 1

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

View Full DocumentRight Arrow Icon
Image of page 2
This is the end of the preview. Sign up to access the rest of the document.

Page1 / 2

20065ee102_1_102-F06-HW-2[1] - FALL 2006 Put First Letter...

This preview shows document pages 1 - 2. Sign up to view the full document.

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