Frequency Domain A 5[8(f – 200) + 8(f + 200)] В (5/2) rect(f/2)e-j4nf C 180 sinc(20 f)e¬j8nf D -84 tri(12f) E -96 sinc(4 f)e2™f F -48(-f) G e-j6nf H 10 sinc?(5f)ejl0f

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55. Below are two lists, one of time-domain functions and one of frequency-domain
functions. Match the frequency-domain functions to their inverse CTFTS in the
list of time-domain functions. (A match may not exist.)
(a)
Frequency Domain
A 5[8(f – 200) + 8(f +200)]
Time Domain
1. -(1/2)81/8 (1)
2. 5 sinc(2(t+2))
(5/2) rect(f/2)e¯j4mf
3. 38(3t – 9)
C 80 sinc(20f)e¯j8mf
4. -7 sinc? (t/12)
D -84 tri(12f)
5. 5 sinc(2(t – 2)
E -96 sinc(4f)e2¤f
6. 5cos(200t)
F -488(-f)
7. 2 tri((t+5)/10)
G e-j6nf
8. 38(t – 3)
H 10sinc²(5f)ej10mf
9. -24[u(t+1) – u(t – 3)]
10. -281/4(-t)
11. 9rect((t – 4)/20)
12. 2 tri((t +10)/5)
13. -24[u(t+3) - u(t – 1)]
14. 10 cos(400T1)
Transcribed Image Text:55. Below are two lists, one of time-domain functions and one of frequency-domain functions. Match the frequency-domain functions to their inverse CTFTS in the list of time-domain functions. (A match may not exist.) (a) Frequency Domain A 5[8(f – 200) + 8(f +200)] Time Domain 1. -(1/2)81/8 (1) 2. 5 sinc(2(t+2)) (5/2) rect(f/2)e¯j4mf 3. 38(3t – 9) C 80 sinc(20f)e¯j8mf 4. -7 sinc? (t/12) D -84 tri(12f) 5. 5 sinc(2(t – 2) E -96 sinc(4f)e2¤f 6. 5cos(200t) F -488(-f) 7. 2 tri((t+5)/10) G e-j6nf 8. 38(t – 3) H 10sinc²(5f)ej10mf 9. -24[u(t+1) – u(t – 3)] 10. -281/4(-t) 11. 9rect((t – 4)/20) 12. 2 tri((t +10)/5) 13. -24[u(t+3) - u(t – 1)] 14. 10 cos(400T1)
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