OFDM-Slides_Cô Ngô Quỳnh Thu| Bài giảng Nhập môn kỹ thuật truyền thông| Trường Đại học Bách Khoa Hà Nội

• In M-FSK, only one carrier is active in any given symbol duration to carry log2 M bits. This is why it is not a spectral-efficient modulation scheme.
• Why not using all the carriers to carry information at the same time since they are orthogonal? This leads to OFDM (orthogonal frequency-division multiplexing) technique.

Spectrum of M -FSK
f
1
f
M
f
2
f
3
f
1
M
f
f
In M-FSK, only one carrier is active in any given symbol duration
to carry log
2
M bits. This is why it is not a spectral-efficien t
modulation scheme.
Why n ot using all the carriers to carry information at the same ti me
since they are orthogonal? This leads to OFDM (orthogonal
frequency-division multiplexing) techn ique.
EE456 Digital Communications Ha H. Nguyen
OFDM (Orthogonal Frequency-Division Multiplexing)
f
Bandwidth
N
N
W N f
T
=
1
f
N
f
2
f
3
f
1
N
T
f
=
1
N
f
In OFDM the spectrum (frequency) is divided into overlapping but
orthogonal subcarriers. Each sub-carrier is independently modulated
by M-QAM. The minimum subcarrier separation is 1/T
N
, where
T
N
is the OFDM symbo l lengt h .
OFDM can be simply looked upon as a combinati on of amplitude,
phase and frequency modulation techn iques.
EE456 Digital Communications Ha H. Nguyen
Communication Services using OFDM
Wireless Wireline
IEEE 802.11a, g, n (WiFi) Wireless LANs
ADSL and VDSL broadband access
via POTS copper wiring
IEEE 802.15.3a Ultra Wideband (UWB) Wireless PAN
MoCA (Multi-media over Coax
Alliance) home networking
IEEE 802.16d, e (WiMAX), WiBro,
PLC (Power Line Communication)
and HiperMAN Wireless MANs
IEEE 802.20 Mobile Broadband
Wireless Access (MBWA)
DVB (Digital Video Broadcast) terrestrial TV
systems: DVB -T, DVB -H, T-DMB, and ISDB-T
DAB (Digital Audio Broadcast) systems:
EUREKA 147, Digital Radio Mondiale,
HD Radio, T-DMB, and ISDB-TSB
Flash-OFDM cellular systems
3GPP UMTS & 3GPP@ LTE (Long-Term Evolution),
and 4G
OFDM is spectrally efficient, tolerates environments with
high RF interference, wor ks well in harsh multi-path
environments and can be elegantly implemented with
IFFT/FFT modules.
EE456 Digital Communications Ha H. Nguyen
Implementation of OFDM
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X
bits/sec
b
r
[0]
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[1]
X
[ 1]
X N
[0]
x
[1]
x
[ 1]
x N
,
( )
Q
x t
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cos 2
c
f t
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.
&
(
)
cos 2
c
f t
π
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+
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$ #
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[0]
y
[1]
y
[ 1]
y N
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[0]
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[1]
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Y N
,
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"
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Y
[ ]
y n
+
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x t
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sin 2
c
f t
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( )
s t
2
3
4
( )
t
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.
&
(
)
sin 2
c
f t
π
'
+
EE456 Digital Communications Ha H. Nguyen
Multipath Problem in High-Speed Wir eless Transmission
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CC
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Example: Consider the symbol rate of 10
6
symbols/sec The receiver expects a
specific symbol within a window of 1 µs. If multi-path delays the signal by more than
1 µs (easily happen in real propagation environment), then the receiver will also
receive the symbol in the next symbol period, causing inter-symbol-interference (ISI),
hence severe performance degradation.
EE456 Digital Communications Ha H. Nguyen
How Does Cyclic Prefi x Work in OFDM
[0], , [ 1]
y y N
ISI
µ
N
[0], , [ 1]
y y N
ISI
µ
N
[0], , [ 1]
y y N
ISI
µ
N
CP
CP
CP
Data block
Data block
Data block
[0], , [ 1]
x x N
CP
[0], , [ 1]
x x N
CP
[0], , [ 1]
x x N
CP CP
[ ], [ 1], , [ 1]
x N x N x N
µ µ
+
[0], [1], [2], , [ 1]
x x x x N
µ
⋯⋯
[ ], [ 1], , [ 1]
x N x N x N
µ µ
+
Append last symbols to the front
µ
Cyclic prefix (CP) of length
µ
Original signal sequence of length
N
An OFDM symbol is basically a super-symbol obtained by multiplexing many
M-QAM symbols in a complicated manner. The length of a super-symbol (T
N
)
becomes longer and hence more resistent to multipath effect.
One can also use zero padding to create a guard interval between consecutive
OFDM symbols, hence avoiding ISI.
EE456 Digital Communications Ha H. Nguyen
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Preview text:

Spectrum of M-FSK f ∆ ⋯ f f f f f f 1 2 3 M 1 − M
In M -FSK, only one carrier is active in any given symbol duration
to carry log M bits. This is why it is not a spectral-efficient 2 modulation scheme.
Why not using all the carriers to carry information at the same time
since they are orthogonal? This leads to OFDM (orthogonal
frequency-division multiplexing) technique.
EE456 – Digital Communications Ha H. Nguyen
OFDM (Orthogonal Frequency-Division Multiplexing) 1 f ∆ = TN ⋯ f f f f f f 1 2 3 N 1 − N N
Bandwidth W N f ∆ = TN
In OFDM the spectrum (frequency) is divided into overlapping but
orthogonal subcarriers. Each sub-carrier is independently modulated
by M -QAM. The minimum subcarrier separation is 1/TN, where TN is the OFDM symbol length.
OFDM can be simply looked upon as a combination of amplitude,
phase and frequency modulation techniques.
EE456 – Digital Communications Ha H. Nguyen
Communication Services using OFDM Wireless Wireline ADSL and VDSL broadband access
IEEE 802.11a, g, n (WiFi) Wireless LANs via POTS copper wiring MoCA (Multi-media over Coax
IEEE 802.15.3a Ultra Wideband (UWB) Wireless PAN Alliance) home networking
IEEE 802.16d, e (WiMAX), WiBro, PLC (Power Line Communication) and HiperMAN Wireless MANs IEEE 802.20 Mobile Broadband Wireless Access (MBWA)
DVB (Digital Video Broadcast) terrestrial TV
systems: DVB -T, DVB -H, T-DMB, and ISDB-T
DAB (Digital Audio Broadcast) systems:
EUREKA 147, Digital Radio Mondiale, HD Radio, T-DMB, and ISDB-TSB Flash-OFDM cellular systems
3GPP UMTS & 3GPP@ LTE (Long-Term Evolution), and 4G
OFDM is spectrally efficient, tolerates environments with
high RF interference, works well in harsh multi-path
environments and can be elegantly implemented with IFFT/FFT modules.
EE456 – Digital Communications Ha H. Nguyen Implementation of OFDM X [0] [ x 0] sin (2π f t c ) 1 "" X [1] [ x 1] x (t) I ' # + r bits/sec s(t) b X $ # ! / , % - " &' ( x (t) Q ' * ) + X [N −1] [ x N −1] cos (2π f tc ) sin (2π f t c ) [ y 0] Y[0] & ' [ y 1] Y[1] . 0 ) + 2 $ # [ y n] % Y r(t) " " ! 3 * , / " ( '& 4 " * ) & ' . " + [ y N −1] Y[ N −1] cos (2π f t c )
EE456 – Digital Communications Ha H. Nguyen
Multipath Problem in High-Speed Wireless Transmission 8 9 6 : ; < B ?< ? B : 9 D E E C 5 6 7 8 9 6 : ; < = : > <; < ? ? @A B < ; C C
Example: Consider the symbol rate of 106 symbols/sec ⇒ The receiver expects a
specific symbol within a window of 1 µs. If multi-path delays the signal by more than
1 µs (easily happen in real propagation environment), then the receiver will also
receive the symbol in the next symbol period, causing inter-symbol-interference (ISI),
hence severe performance degradation.
EE456 – Digital Communications Ha H. Nguyen
How Does Cyclic Prefix Work in OFDM
Append last µ symbols to the front [ x N − µ], [ x N − µ +1], − µ − µ + ⋯ − ⋯⋯⋯ − − ⋯, [ x N −1] [ x 0], [ x 1], [ x 2], , [ x N µ 1] [ x N ], [ x N 1], , [ x N 1]
Cyclic prefix (CP) of length µ
Original signal sequence of length N CP [ x 0],⋯, [ x N −1] CP [ x 0],⋯, [ x N −1] CP [ x 0],⋯, [ x N −1] CP CP Data block CP Data block CP Data block ISI [ y 0],⋯, [ y N −1] ISI [ y 0],⋯, [ y N −1] ISI [ y 0],⋯, [ y N −1] ⋯ ⋯ µ N µ N µ N
An OFDM symbol is basically a super-symbol obtained by multiplexing many
M -QAM symbols in a complicated manner. The length of a super-symbol (TN )
becomes longer and hence more resistent to multipath effect.
One can also use zero padding to create a guard interval between consecutive
OFDM symbols, hence avoiding ISI.
EE456 – Digital Communications Ha H. Nguyen