ECEN 5032 Data Networks Communication Theory: FSK Examples Peter - - PowerPoint PPT Presentation

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

10 20 30 40 50 60 70 80 90 100 −1.5 −1 −0.5 0.5 1 1.5 Coherent BFSK, Rectangular p(t), FB=100 Baud, [f0,f1]=[200,300] t [msec] x(t) −1000 −800 −600 −400 −200 200 400 600 800 1000 −60 −50 −40 −30 −20 −10 f [Hz] 10log10(Sx(f)) [dB] PSD, Px=0.49999, Px(f1,f2) = 99.9961%, Fs=11025 Hz, N=11025, NN=1, ∆f=1 Hz

Data Networks, FSK Examples, c

• 1996–2005, P

. Mathys – p.2/7

4-FSK, Rect.

• ✁✄✂

,

• ✝

Hz

10 20 30 40 50 60 70 80 90 100 −1.5 −1 −0.5 0.5 1 1.5 Coherent 4−FSK, Rectangular p(t), FB=100 Baud, [f0,f1]=[200,300,400,500] t [msec] x(t) −1000 −800 −600 −400 −200 200 400 600 800 1000 −60 −50 −40 −30 −20 −10 f [Hz] 10log10(Sx(f)) [dB] PSD, Px=0.49999, Px(f1,f2) = 99.9832%, Fs=11025 Hz, N=11025, NN=1, ∆f=1 Hz

Data Networks, FSK Examples, c

• 1996–2005, P

. Mathys – p.3/7

Binary MSK, Rect.

• ✁✄✂

,

Hz

10 20 30 40 50 60 70 80 90 100 −1.5 −1 −0.5 0.5 1 1.5 Coherent BMSK, Rectangular p(t), FB=100 Baud, [f0,f1]=[200,250] t [msec] x(t) −1000 −800 −600 −400 −200 200 400 600 800 1000 −60 −50 −40 −30 −20 −10 f [Hz] 10log10(Sx(f)) [dB] PSD, Px=0.49999, Px(f1,f2) = 99.9756%, Fs=11025 Hz, N=11025, NN=1, ∆f=1 Hz

Data Networks, FSK Examples, c

• 1996–2005, P

. Mathys – p.4/7

CP BMSK, Rect.

• ✁✄✂

,

Hz

10 20 30 40 50 60 70 80 90 100 −1.5 −1 −0.5 0.5 1 1.5 Continuous Phase BMSK, Rectangular p(t), FB=100 Baud, [f0,f1]=[200,250] t [msec] x(t) −1000 −800 −600 −400 −200 200 400 600 800 1000 −60 −50 −40 −30 −20 −10 f [Hz] 10log10(Sx(f)) [dB] PSD, Px=0.49999, Px(f1,f2) = 99.9998%, Fs=11025 Hz, N=11025, NN=1, ∆f=1 Hz

Data Networks, FSK Examples, c

• 1996–2005, P

. Mathys – p.5/7

CP BMSK, RCf

• ✁

• ✁✄✂

,

Hz

10 20 30 40 50 60 70 80 90 100 −1.5 −1 −0.5 0.5 1 1.5 Continuous Phase BMSK, RCf α=0.5 p(t), FB=100 Baud, [f0,f1]=[200,250] t [msec] x(t) −1000 −800 −600 −400 −200 200 400 600 800 1000 −60 −50 −40 −30 −20 −10 f [Hz] 10log10(Sx(f)) [dB] PSD, Px=0.49988, Px(f1,f2) = 99.9999%, Fs=11025 Hz, N=11025, NN=1, ∆f=1 Hz

Data Networks, FSK Examples, c

• 1996–2005, P

. Mathys – p.6/7

Prob of Symbol Error: FSK

2 4 6 8 10 12 14 16 10

−8

10

−7

10

−6

10

−5

10

−4

10

−3

10

−2

10

−1

10 Probability of Symbol Error Ps(E) for M−ary (Equally Likely) Digital PAM Ps(E) Eb/N0 [dB] M=2, polar M=4 QPSK M=2 FSK coh M=2 FSK noncoh M=4 FSK coh M=8 FSK coh

Data Networks, FSK Examples, c

• 1996–2005, P

. Mathys – p.7/7