ECE 210: Analog Signal Processing

Supplementary intuition aid, not official course material.

Preset:

Input Amplitude 0

Initial Condition 3

y_ZS(t) y_ZI(t) Total y(t)

1. Time-Domain Switched Circuit (t ≥ 0)

^-)=3V vout(t)

2. s-Domain Equivalent Circuit

3. Time-Domain Response

--- y_ZS(t) ... y_ZI(t) — Total y(t)

4. Total Response Formula (s-domain → t-domain)

V̂_out(s) = 0s(s+1)

Ŷ_ZS(s) + 3s+1

Ŷ_ZI(s)

v_out(t) = 0(1 - e^-t)u(t)

y_ZS(t) + 3 e^-tu(t)

y_ZI(t)