� ECEN 5032 Data Networks Communication Theory: FSK Examples Peter Mathys mathys@colorado.edu University of Colorado, Boulder Data Networks, FSK Examples, c 1996–2005, P . Mathys – p.1/7
� ☎ ✆✝ ✝ ✞ ✟ ✝ ✝ � Binary FSK, Rect. ✁✄✂ , Hz Coherent BFSK, Rectangular p(t), F B =100 Baud, [f0,f1]=[200,300] 1.5 1 0.5 x(t) 0 −0.5 −1 −1.5 0 10 20 30 40 50 60 70 80 90 100 t [msec] PSD, P x =0.49999, P x (f 1 ,f 2 ) = 99.9961%, F s =11025 Hz, N=11025, NN=1, ∆ f =1 Hz 0 −10 10log 10 (S x (f)) [dB] −20 −30 −40 −50 −60 −1000 −800 −600 −400 −200 0 200 400 600 800 1000 f [Hz] Data Networks, FSK Examples, c 1996–2005, P . Mathys – p.2/7
✝ ✁ ✝ � ☎ ✝ ✆✝ ✝ ✞ ✟ ✝ ✝ ✞ � � ✝ ✞ 4-FSK, Rect. ✁✄✂ , Hz Coherent 4−FSK, Rectangular p(t), F B =100 Baud, [f0,f1]=[200,300,400,500] 1.5 1 0.5 x(t) 0 −0.5 −1 −1.5 0 10 20 30 40 50 60 70 80 90 100 t [msec] PSD, P x =0.49999, P x (f 1 ,f 2 ) = 99.9832%, F s =11025 Hz, N=11025, NN=1, ∆ f =1 Hz 0 −10 10log 10 (S x (f)) [dB] −20 −30 −40 −50 −60 −1000 −800 −600 −400 −200 0 200 400 600 800 1000 f [Hz] Data Networks, FSK Examples, c 1996–2005, P . Mathys – p.3/7
� ☎ ✆✝ ✝ ✞ ✆ ✁ ✝ � Binary MSK, Rect. ✁✄✂ , Hz Coherent BMSK, Rectangular p(t), F B =100 Baud, [f0,f1]=[200,250] 1.5 1 0.5 x(t) 0 −0.5 −1 −1.5 0 10 20 30 40 50 60 70 80 90 100 t [msec] PSD, P x =0.49999, P x (f 1 ,f 2 ) = 99.9756%, F s =11025 Hz, N=11025, NN=1, ∆ f =1 Hz 0 −10 10log 10 (S x (f)) [dB] −20 −30 −40 −50 −60 −1000 −800 −600 −400 −200 0 200 400 600 800 1000 f [Hz] Data Networks, FSK Examples, c 1996–2005, P . Mathys – p.4/7
� ☎ ✆✝ ✝ ✞ ✆ ✁ ✝ � CP BMSK, Rect. ✁✄✂ , Hz Continuous Phase BMSK, Rectangular p(t), F B =100 Baud, [f0,f1]=[200,250] 1.5 1 0.5 x(t) 0 −0.5 −1 −1.5 0 10 20 30 40 50 60 70 80 90 100 t [msec] PSD, P x =0.49999, P x (f 1 ,f 2 ) = 99.9998%, F s =11025 Hz, N=11025, NN=1, ∆ f =1 Hz 0 −10 10log 10 (S x (f)) [dB] −20 −30 −40 −50 −60 −1000 −800 −600 −400 −200 0 200 400 600 800 1000 f [Hz] Data Networks, FSK Examples, c 1996–2005, P . Mathys – p.5/7
✆✝ ✞ ✁ � ✁ � ✁ ✝ ☎ ✆ � ✝ CP BMSK, RCf ✁✄✂ , Hz ✝ ✄✂ Continuous Phase BMSK, RCf α =0.5 p(t), F B =100 Baud, [f0,f1]=[200,250] 1.5 1 0.5 x(t) 0 −0.5 −1 −1.5 0 10 20 30 40 50 60 70 80 90 100 t [msec] PSD, P x =0.49988, P x (f 1 ,f 2 ) = 99.9999%, F s =11025 Hz, N=11025, NN=1, ∆ f =1 Hz 0 −10 10log 10 (S x (f)) [dB] −20 −30 −40 −50 −60 −1000 −800 −600 −400 −200 0 200 400 600 800 1000 f [Hz] Data Networks, FSK Examples, c 1996–2005, P . Mathys – p.6/7
� Prob of Symbol Error: FSK Probability of Symbol Error P s (E) for M−ary (Equally Likely) Digital PAM 0 10 M=2, polar M=4 QPSK M=2 FSK coh −1 10 M=2 FSK noncoh M=4 FSK coh M=8 FSK coh −2 10 −3 10 P s (E) −4 10 −5 10 −6 10 −7 10 −8 10 0 2 4 6 8 10 12 14 16 E b /N 0 [dB] Data Networks, FSK Examples, c 1996–2005, P . Mathys – p.7/7
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