Question

4.32. Figure P4.32 diagrams the FDM system that generates the baseband signal for FM stereo phonic broadcasting. The left-speaker and right-speaker signals are processed to produce x (1) + Xx) and x (1) - xx0), respectively. (a) Sketch the spectrum of y(1) (b) Sketch the spectrum of z(1), v(t), and w(1). (c) Show how to recover both x,) and xx0. X, (W) + XR(W) X, (W) XR (W) 1.0 1.0 307 w X 10' 30 w X 100 (a) LPF ho) 0-15 kHz x (1) + XR) x2 (1) - RO yo + BPF h20 23-53 kHz х LPF hy (1) 0-15 kHz cos 2w, cos, cos 2w, 11 - 19 kHz (b) Figure P4.32

Answer 1

4.32 XL(W) +XRCW) XL(W) XR(W) 10 h B011 cxló 300 exio (a) q (t) = OCLCt) +X B Ct) + Cosoit + [XL(T)+XRCP)] Cosacot f = 19kHz w = auf = 381 10 yow) 10 3OTI 381 TOT 10611 Coxio x10² 6 ) bilt) 301 6x103 X(W) lo (ωχιο 0 BOT

b2cw) Wx103 46T 106U 42 (0) 10 > Coxios 76 TT 10677 vet) = Ye(t) = y2Ct). Cos 26,t ᏙcᏇ 10 30T 15211 X103 19811 b3(6) 1 wx10² 2017 Wcw) LO coxió BOIT

XL(t)= X(t)+X&lt) XLCT) – XRCE) + 2 XL Cw) :5 CuX103 3015 XRCE) = XLCE+XRlt:) XL(t)-XRCD) 2 2. XR(W) 5 wx 103 3011 -5