20111ee102_1_discussion2

20111ee102_1_discussion2 - WINTER 2011: EE102: SYSTEMS...

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

View Full Document Right Arrow Icon
WINTER 2011: Discussion: # 2 Posted: January 14 1. (i) Write down the IRF h ( t,τ ) of the following system: y ( t ) = Z -∞ e - t ( t - τ ) U ( τ - t ) x ( τ ) dτ, t ( -∞ , ) . (ii) Given the IRF h ( t,τ ) of a L, TI, C system: h ( t,τ ) = e - ( t - τ ) ( t - τ ) U ( t - τ ) , for t,τ ( -∞ , ) . and the input x ( t ) = δ ( t - 2) - e - t U ( t ) , t ( -∞ , ) . Find the corresponding output y ( t ). (iii) A system S whose IPOP relation is b ( t ) = Z t -∞ ( t - σ ) a ( σ ) dσ, where a ( · ) and b ( · ) denote input and output, respectively. Find the IRF h ( t,τ ) of S , and find its response due the input U ( t ) — called the step response , denoted by g ( t ). 2. Given that a system
Background image of page 1

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

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

Page1 / 2

20111ee102_1_discussion2 - WINTER 2011: EE102: SYSTEMS...

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