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Rec4Sol - l V alllb April 25‘“ 2008 Page 1/3 ECES-306...

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Unformatted text preview: l V alllb . April 25‘“, 2008 Page 1/3 ECES-306 Modulation and Coding Recitation #4 ‘ 1.) For a message signal m(t) = A*tri(t/r), sketch and carefully label m(t), 9(t), and f(t) for PM and FM. Also sketch the modulated signal waveforms. April 25‘“, 2008 Page 2/3 ECES-306 Modulation and Coding Recitation #4 2.) A tone message signal can be expressed as: m(t) = 3COS(2Trfmt). Consider a tone-modulated FM signal with fm = 10 kHz, B=1.0, and fc = 45 MHZ. (a) Write an expression for the instantaneous frequency, f(t). MQ’) e. ? (35‘ C 2’“ p 4') r cArux‘i—vwr 1er '— ’fl’f t1: '”n'éqk‘j I lz‘ k I “7'2 w" n’ 24an =9 F; c. ufirn’ 00: V 3 ‘c 3 =2 {U71 £15.10 + 3‘:an seer (mm P) 2 74.“ 1 (Ems + 10". 91(leo“)\’(1r (b) Write an expression for the instantaneous phase, 9(t). ow w e + [’mto‘rwsCWwe) cu atom Wt+ Sm 16mm qo‘tclbc F1} 4 flkcl’qugtt) (c) Write an expression for the modulated signal 1n terms of Bessel functions. 4” 9 ““9 {— Jv‘umk e 1 I“- 1 Z JnLPJQ ”d1 Jwr m—g; JCWH'W“) .- JM‘ 1 A: $1412 -cA 3°“ ' 3 AZ woe : Azsnwe. have °" X64“: AZUnU)W(Wc tfl”~){:=- AZS'L) CNCfiOWde’WI/IHOI‘X Inc. at: (d) Determine the transmission bandwidth, BFM, by using Carson’s Rule. 0‘4““2‘ 2“!“ 73x ‘ “1921a C1311):— 2:101:10: CL) Lbotct’nv- ;— ...
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