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Implementation and Performance Evaluation of an OFDM Modem With Variations in Cyclic Prefix Length and Channel Coding for Different Channels. Indira Rajagopal Joydeep Acharya Madhavi V Ratnagiri Sumathi Gopal. Course: Communication Theory (ECE 545); Rutgers University

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Indira rajagopal joydeep acharya madhavi v ratnagiri sumathi gopal l.jpg

Implementation and Performance Evaluation of an OFDM Modem With Variations in Cyclic Prefix Length and Channel Coding for Different Channels

Indira Rajagopal

Joydeep Acharya

Madhavi V Ratnagiri

Sumathi Gopal

Course: Communication Theory (ECE 545); Rutgers University

Professor: Dr. Predrag Spasojevic


Topics l.jpg
Topics With Variations in Cyclic Prefix Length and Channel Coding for Different Channels

  • Introduction to OFDM

  • Description of OFDM system simulated

  • Channel Simulation

  • Results

  • Conclusions

  • References

OFDM Performance


Introduction to ofdm l.jpg
Introduction to OFDM With Variations in Cyclic Prefix Length and Channel Coding for Different Channels

  • Orthogonal Frequency Division Multiplexing;

  • Part of xDSL, IEEE 802.11a standards

  • Improves Data rates, such as 56Mbps in IEEE 802.11a

OFDM Performance


Introduction to ofdm4 l.jpg
Introduction to OFDM With Variations in Cyclic Prefix Length and Channel Coding for Different Channels

  • Resilience to frequency selective channels

Courtesy : “Multicarrier Primer”

OFDM Performance


Ofdm transmitter l.jpg

S/P With Variations in Cyclic Prefix Length and Channel Coding for Different Channels

S/P

Mapping

from

size

N/2 to N

IFFT

Modulation (M)

Channel

Coding

Inter

Leaving

Cyclic

Prefix

Source

Data

Modulation (M)

To

Channel

Modulation (M)

Modulation (M)

OFDM Transmitter

Bits per OFDM symbol = (IFFT_Size/2) * log2(M)

OFDM Performance


Channel coding l.jpg

P/S With Variations in Cyclic Prefix Length and Channel Coding for Different Channels

S/P

Mapping

from

size

N/2 to N

IFFT

Modulation

Channel

Coding

Inter

Leaving

Cyclic

Prefix

Modulation

To

Channel

Source

Data

Modulation

Modulation

Channel Coding

Courtesy: 802.11a std.

OFDM Performance


Interleaving l.jpg

P/S With Variations in Cyclic Prefix Length and Channel Coding for Different Channels

S/P

Mapping

from

size

N/2 to N

IFFT

Modulation

Channel

Coding

Inter

Leaving

Cyclic

Prefix

Modulation

To

Channel

Source

Data

Modulation

Modulation

Interleaving

Read out

b4

b10

b7

b1

b2

b5

b8

b11

Fill

in

b3

b6

b9

b12

OFDM Performance


Interleaving8 l.jpg

P/S With Variations in Cyclic Prefix Length and Channel Coding for Different Channels

S/P

Mapping

from

size

N/2 to N

IFFT

Modulation

Channel

Coding

Inter

Leaving

Cyclic

Prefix

Modulation

To

Channel

Source

Data

Modulation

Modulation

Interleaving

b4

b10

Read out

b1

b7

b1

b4

b7

b10

b2

b5

b8

b11

b3

b6

b9

b12

b2

b5

b8

b11

Fill in

b3

b6

b9

b12

OFDM Performance


Modulation schemes used l.jpg

P/S With Variations in Cyclic Prefix Length and Channel Coding for Different Channels

S/P

Mapping

from

size

N/2 to N

IFFT

Modulation

Channel

Coding

Inter

Leaving

Cyclic

Prefix

Modulation

To

Channel

Source

Data

Modulation

Modulation

Modulation Schemes Used

  • QPSK (4-QAM)

  • 16-QAM

  • 64-QAM

OFDM Performance


N 2 to n mapper and ifft l.jpg

P/S With Variations in Cyclic Prefix Length and Channel Coding for Different Channels

S/P

Mapping

from

size

N/2 to N

IFFT

Modulation

Channel

Coding

Inter

Leaving

Cyclic

Prefix

Modulation

To

Channel

Source

Data

Modulation

Modulation

X1

IFFT

Block

Re(XN/2)

X1

X2

Real Valued

samples

Mapper

XN/2-1

Im(XN/2)

XN/2-1

X*N/2-1

XN/2

X*1

N

N/2

N

N/2 to N Mapper and IFFT

X*n-k = Xk where k : 1,… n/2

OFDM Performance


Adding cyclic prefix l.jpg
Adding cyclic prefix With Variations in Cyclic Prefix Length and Channel Coding for Different Channels

P/S

S/P

Mapping

from

size

N/2 to N

IFFT

Modulation

Channel

Coding

Inter

Leaving

Cyclic

Prefix

Modulation

To

Channel

Source

Data

Modulation

Modulation

x(n) * h(n) = X(k)H(k)

Original N Samples

Time

Added Prefix

Cyclic prefix length

OFDM Performance


Channel models l.jpg
Channel Models With Variations in Cyclic Prefix Length and Channel Coding for Different Channels

  • AWGN:

    r = s + n

  • Rayleigh Flat fading:

    r = ρs + n where ρ is Rayleigh distributed

  • Rayleigh Frequency Selective:

    r = h*s + nwhere h is channel impulse response

OFDM Performance


Slide13 l.jpg

S/P With Variations in Cyclic Prefix Length and Channel Coding for Different Channels

FFT

Mapping

from

size

N to N/2

Thres-

holding

P/S

Demod

Remove

Cyclic

Prefix

From

Channel

Demod

De- Inter

Leaving

Channel

De-

Coding

Received

Bits

Demod

Demod

OFDM Receiver

OFDM Performance


Slide14 l.jpg

Thresholding With Variations in Cyclic Prefix Length and Channel Coding for Different Channels

S/P

FFT

Mapping

from

size

N to N/2

Thres-

holding

P/S

Demod

Remove

Cyclic

Prefix

From

Channel

Demod

De- Inter

Leaving

Channel

De-

Coding

Received

Bits

Demod

Demod

OFDM Performance


Thresholding based on decision regions for 16 qam l.jpg
Thresholding based on decision regions for 16-QAM With Variations in Cyclic Prefix Length and Channel Coding for Different Channels

OFDM Performance


De interleaving l.jpg
De-Interleaving With Variations in Cyclic Prefix Length and Channel Coding for Different Channels

S/P

Mapping

from

size

N to N/2

FFT

Thres-

holding

P/S

Demod

Remove

Cyclic

Prefix

Channel

De-

Coding

From

Channel

Demod

De- Inter

Leaving

Received

Bits

Demod

Demod

Read out

b1

b2

b3

b1

b2

b3

b4

b5

b6

b7

b8

b9

b10

b11

b12

b4

b5

b6

Fill

in

b7

b8

b9

b10

b11

b12

OFDM Performance


Topics17 l.jpg
Topics With Variations in Cyclic Prefix Length and Channel Coding for Different Channels

  • Introduction to OFDM

  • Description of OFDM system

  • Channel Models

  • Results

  • Conclusions

  • References

OFDM Performance


Received signal constellation for 16 qam in presence of awgn l.jpg
Received Signal Constellation for 16-QAM in Presence of AWGN With Variations in Cyclic Prefix Length and Channel Coding for Different Channels

OFDM Performance


Bit error rate for awgn for various ifft sizes l.jpg
Bit Error Rate for AWGN for various IFFT sizes With Variations in Cyclic Prefix Length and Channel Coding for Different Channels

OFDM Performance


Bit error rate for awgn for various modulation schemes l.jpg
Bit Error Rate for AWGN for various Modulation Schemes With Variations in Cyclic Prefix Length and Channel Coding for Different Channels

OFDM Performance


Bit error rate for awgn with and without coding l.jpg
Bit Error Rate for AWGN with and without Coding With Variations in Cyclic Prefix Length and Channel Coding for Different Channels

OFDM Performance


Ofdm spectrum l.jpg
OFDM spectrum With Variations in Cyclic Prefix Length and Channel Coding for Different Channels

OFDM Performance


Coded and uncoded ber for flat fading rayleigh channel l.jpg
Coded and uncoded BER for flat fading Rayleigh channel With Variations in Cyclic Prefix Length and Channel Coding for Different Channels

OFDM Performance


Effect of varying cyclic prefix in a flat fading channel l.jpg
Effect of varying cyclic prefix in a flat fading channel With Variations in Cyclic Prefix Length and Channel Coding for Different Channels

OFDM Performance


Conclusions l.jpg
Conclusions With Variations in Cyclic Prefix Length and Channel Coding for Different Channels

We were able to demonstrate theperformance of an OFDM system in AWGN channel and a Rayleigh channel with flat fading

OFDM Performance


Further work l.jpg
Further work With Variations in Cyclic Prefix Length and Channel Coding for Different Channels

  • Obtain BER plots of frequency selective channel with and without coding

  • Demonstrate change in BER with change in length of cyclic prefix, for a frequency selective channel

  • Analyze any tradeoffs between coding and length of cyclic prefix

OFDM Performance


References l.jpg
References With Variations in Cyclic Prefix Length and Channel Coding for Different Channels

  • IEEE 802.11a standard

  • J. M. Cioffi, “A multicarrier primer,” ANSI T1E1.4 Committee Contribution, Nov. 1991.

  • Rappaport, T.S., “Wireless Communications, Principles and Practice”, Second Edition Prentice Hall.

  • Sklar Bernard, “Digital Communications” , Pearson Education Asia, Second Edition, 2001.

OFDM Performance


Acknowledgements l.jpg
Acknowledgements With Variations in Cyclic Prefix Length and Channel Coding for Different Channels

  • WINLAB students and faculty:

    Predrag, Leo, Praveen, Hithesh, Ahmed, Lang, Rueheng, Jassi, Amith, and many more.

  • Zoran Kostic at Thomson Inc.

It was FUN! Thank You for your patience

OFDM Performance