FEEC Assignment 1.pdf

‫ﺑﺴﻤﻪ ﺗﻌﺎﻟﻲ‬
1394/7/19:‫ﻣﻮﻋﺪ ﺗﺤﻮﻳﻞ‬
‫ ﻣﺒﺎﻧﻲ ﻣﺪارﻫﺎي اﻟﻜﺘﺮﻳﻜﻲ و اﻟﻜﺘﺮوﻧﻴﻜﻲ‬1 ‫ﺗﻤﺮﻳﻦ ﺷﻤﺎره‬
:‫( ﺷﻜﻞﻣﻮج ﺗﻮاﺑﻊ زﻳﺮ را رﺳﻢ ﻛﻨﻴﺪ‬1
1) Sketch the waveform of the following func ons:
f1(t)=(t‐1)u(t+1)+(t+1)u(t‐1)
f2(t)=u(1‐t2)+u(t2‐1)
f3(t)=ߜ(1‐t2)
f4(t)=u(t)+r(t)‐r(t‐2)+3r(t‐4)‐5r(t‐5)
f5(t)=u(t)+4u(2t‐2)‐3u(3‐2t)+2r(t‐4)‐2r(12+t)
.‫( ﺷﻜﻞﻣﻮج ﺗﻮاﺑﻊ زﻳﺮ و ﻣﺸﺘﻖ اول آﻧﻬﺎ را رﺳﻢ ﻛﻨﻴﺪ‬2
2) Sketch the waveform of the following func ons and their first deriva ve:
F1(t)=6u(t)‐5r(t‐3)+5r(t‐4)
F2(t)=ܲభ (t‐2)cos(2t) మ
F3(t)=4u(t)‐8u(t‐4)+8u(t‐5)
F4(t)=2u(t)+r(t‐1)+3r(t‐3)+2u(t‐4)
.‫( ﺷﻜﻞﻣﻮجﻫﺎي زﻳﺮ را ﺑﺮﺣﺴﺐ ﺗﻮاﺑﻊ ﭘﻠﻪ واﺣﺪ و ﺷﻴﺐ واﺣﺪ ﺑﻨﻮﻳﺴﻴﺪ‬3
3) Show the following waveforms by the sum of Unit‐Step and Unit‐Ramp functions: