1. OFDM(2) Matrix Based Simlation
Fire Tom Wada
Professor, Information Engineering, Univ. of the Ryukyus
Chief Scientist at Magna Design Net, Inc
2/28/2019

2. OFDM Modulator P / S M A P S / P IFFT Bit stream generated0~dＮ－１ Copy
to make Guard Interval P / S
M A P S / P
IFFT
OFDM symbol (1/f0) Tg
Bit stream
generated0~dＮ－１
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3. Multi-path channel Tg OFDM symbol (1/f0) Tg OFDM symbol (1/f0)
2/28/2019

4. OFDM Demodulator S / P DFT P / S Noise Equalize Bit Stream D E M A P
Remove Guard Interval
DFT P / S
Noise
OFDM symbol (1/f0) Tg
D E M A P
Equalize
Bit Stream
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5. FFT matrix
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6. IFFT matrix
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7. Multi-path channel in Matrix
GI of n-1
Symbol n-1
GI of n
Symbol n
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8. If Multi-path delay is small than GI length
Channel Matrix is Cyclic Matrix!
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9. Two path Multi path Channel Example
Base Station
Receiver
Channel Impulse Response = [1, 0.5 , 0, 0]

10. Two path Multi path Channel Example
If time domain channel matrix is cyclic, Frequency Domain Channel Matrix is diagonal!

11. Additive Noise
2/28/2019

12. How to recover sending signal from receiver signal. - EQUALIZE -
2/28/2019

13. SysArch2008 Midterm Report
Modify SCILAB program “MatrixOFDMSimulation1.sce” to measure Symbol Error Rate vs S/N ratio in M=16 OFDM with QPSK modulation
Make Symbol Error Rate vs SN ratio
Vertical: SER in log scale
Horizontal: SN ratio 0dB, 1dB … to 15dB
Your report should contain your program and measured data in Graph.
Dead Line : December End 2008
Please submit to TA: Kenta-san
2/28/2019