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Rec3Sol

# Rec3Sol - jkgég d/wul QAAA October 12t 2007 Name Page 1/4...

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Unformatted text preview: jkgég @ d/wul. QAAA October 12t , 2007 Name: Page 1/4 ECES-306 Modulation and Coding Recitation #3 1) Consider the following two message signal spectra (disregard the magnitude bars). |M1(m)l 1A’IZ[{U)[ - 21(4000) 23114000 — M4000) M4000 a.) Assume that m1(t) and m2(t) are used to DSB-SC modulate carriers of frequency we] and cod = (no; + 27t(34*106), respectively. On the same set of axes, plot the frequency domain representation of both DSB-SC modulated signals. (This is an example of Frequency Division Multiplexing) \ V/I—ﬁ' L 2Kx34xw b.) Draw the block diagram of a superheterodyne receiver that could be used to shift the portion of the modulated signal spectrum corresponding to m1(t) to intermediate frequency of 27:(17*106) using a local oscillator of frequency (0L0 = coal + 21t(17*106). Draw the frequency domain representation of the signals at all points in your receiver (and keep track of the portion of the modulated signal spectrum corresponding to m2(t)). What can be done to prevent interference from signals at the image frequency? Name: October 12"?2‘007 Page 2/4 ECES-306 Modulation and Coding Recitation #3 2.) An SSB transmitter operating at fc=10kHz is modulated by the message signal: m(t)=4cos(67rfMt) + 3sin(47tht), where fM=500 Hz. 21.) Write an expression for M((o) and sketch M(oo) rm 6') ’ 4 6" Germ 7‘ j M (“9 i 4” [ [0" ‘ “V R.) -#§ 0 ; q r: war/Pg = ‘ r” u t " r a v 7 K ( .\ Haj-Ms (waiving - up «M «V. 17 plum) ‘ ' ¢ ' it f A): 1 mt), ‘ i ___‘.‘ 7 {Hang-eff? ' {Late mi W x i _ :«wxc :Z'YCX', A ’ -1‘RiL (“SLR A' 4153,“: 53in R b.) Write an expression for the transfer function of the ﬁlter corresponding to the Hilbert transform. Name: October 12‘“, 2007 Page 3/4 ECES-306 Modulation and Coding Recitation #3 d.) Write the expression for the LSB-SC signal and its Fourier transform. Sketch XLSB_SC((0) Lg". Ell l \ ’ W‘ (‘V/.\ [Vi "if ,YY" r,‘ ( x4“ ( ‘ ( l'A . g ‘( q/x '7 \ , V/"l. .- m {énfmg » QQWLQMHL» on (V t + H mm (0wa _ ,\ Mam”.le am Luci :étéa-met ’ 4" Wt} , . \ I: ‘1 (mt~<‘<fttm'tl v+-(”S>”im (5" It _ mng : 4 (a I Moo Wt -« ’3 on raw 7“ It“: A. L} Xbx) “R 3M7 “£leth \ Kan L T new i ‘6'“ t l W ﬂ ncioRI’E-s -3”: K‘sgﬂm K - ‘ 4%an w ’i ['10-ch (53000; N e.) Draw a block diagram of an appropriate demodulator and draw the frequency domain representation of the signal at all points in the diagram. Name: October 12““, 2007 Page 4/4 ECES-306 Modulation and Coding Recitation #3 3.) Laboratory #3 (only up through and including T13) A.) Show the TA/lnstructor the output generated as part of T4. TA/Instructor Initials: B.) Show the TA/lnstructor the output generated as part of T10. TA/lnstructor Initials: ...
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