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## CommunicationSystemsEngineering

by: Misael Dooley

33

0

3

# CommunicationSystemsEngineering ELEG403

Marketplace > University of Delaware > Electrical Engineering > ELEG403 > CommunicationSystemsEngineering
Misael Dooley
UD
GPA 3.72

Staff

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COURSE
PROF.
Staff
TYPE
Class Notes
PAGES
3
WORDS
KARMA
25 ?

## Popular in Electrical Engineering

This 3 page Class Notes was uploaded by Misael Dooley on Saturday September 19, 2015. The Class Notes belongs to ELEG403 at University of Delaware taught by Staff in Fall. Since its upload, it has received 33 views. For similar materials see /class/207137/eleg403-university-of-delaware in Electrical Engineering at University of Delaware.

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Date Created: 09/19/15
624 TABLES TABLE 1 Properties of the Fourier Transform Property Mathematical Description 1 Linearity ug1l bg3t aGf bGzf where a and b are constants 2 Time scalin 39 at a i G g g H a a where a is a constant 3 Duality If gr GU than Ct gvf 4 Time shifting g 7 tu Cf exp j27fn 5 Frequency shifting expj2nfrrgt Gf f6 6 Area under g0 r gt d G0 7 Area under Cf g0 Gf df 8 Differentiation in the time d Eur 127rfGf 9 Integration in the time I 1 G O I am dz Gm 3 60 w jgnf 2 10 Conjugate functions If gl GU then gl Gf 11 Multiplication 1n the time Emog Jquot 60002 7 2 d2 12 Convolution in the time domain gmgzrr r dr omen TABLE 2 Time Fum rec Sinc2Wt exparz exphaltt exp mz H 1 T 0 lt50 1 6r tn aXPJ39Z7rf1 cos27rf t sin2nft sgnt 7L 1 i an 7 bGf IznfluJ f f f A d Ri GzU TABLE 2 Fourier Transform Pairs TABLES 625 Time Function actr 1 T sinc2Wl exp utur a gt I exp all a gt 0 exp n11 III lt T l T Ill 0 r a 7 61 1 6r r expuznfa cos27rfltr sin27zle sgnU 7U aft i 61 in Fourier Transform T sincfT rectltgt 1 a jan 211 a3 hf XPnf1 T sinc fT 1 6f exP i2nfta 6f A f 6f ft 6f f 1 2 W 6f fc L inf 39 sgntf 1 550 1 n awfb 626 TABLES TABLE 3 T U 1 Identities Ni390 c0519 j mm 6056 Mum expwm sin expjl pk390 sin30 co H 1 2030 sin COSQH c0510 H1 05010 sin 6 l J cos29 2 sinO c050 sin20 sina sina cos3 cosa sin cosa II cosa cos3 i sina sini tuna an1 1 I tana Ianf sinzx sin cosa cosa 5 cosa cosf lcosw J cosa f sine cosf sinm 7 1 sinn U lana TABLE 4 1 Expmm Taylor a x f where MncLaI where Binomi 1 xquot Expom Logari Trigont 2 Summ Arithn Geoml

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