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On the Capacity Formula for MIMO Wireless Channel - A Geometric Interpretation

On the Capacity Formula for MIMO Wireless Channel - A Geometric Interpretation. 指導教授：黃文傑 老師 學　　生：曾凱霖 學　　號： M9121014 無線通訊實驗室. Outline. 1 、 Ray-Tracing 2 、 Capacity Calculations and Array Geometry 3 、 Line-of-sight Channels 4 、 Ricean Channels

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On the Capacity Formula for MIMO Wireless Channel - A Geometric Interpretation

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  1. On the Capacity Formula for MIMO Wireless Channel - A Geometric Interpretation 指導教授：黃文傑 老師 學　　生：曾凱霖 學　　號：M9121014 無線通訊實驗室

  2. Outline 1、Ray-Tracing 2、Capacity Calculations and Array Geometry 3、Line-of-sight Channels 4、Ricean Channels 5、Conclusion

  3. Ray-Tracing (1/5) Motivation： 1、More accurate and efficient model for specific site. 2、Reduced local statistic calculation time. 3、Detailed description of communication system. (first、second order，BER )

  4. Ray-Tracing (2/5) What is Ray-Tracing? 1、Ray-tracing is a computer graphics for producing realistic images. 2、It simulates the actual physics of light by tracing the light ray. 3、Backward Ray Tracing

  5. Ray-Tracing (3/5) How to use in radio channel ? 1、It can’t account for fast-fading or small scale fading. 2、The total field is determined via the superposition of individual contribute of each ray.

  6. Ray-Tracing (4/5)

  7. Ray-Tracing (5/5) • Transmitted wave • Reflected wave vary as • Scattering wave vary as

  8. Capacity Calculations and Array Geometry A、Line-of-sight Channels B、Ricean Channels

  9. Line-of-Sight Channels (1/3) • MIMO wireless system capacity • Ray-Tracing from T to R yields the channel transfer function matrix

  10. Line-of-Sight Channels (2/3) • The Antenna are spaced： 1、Less than ,and then we know 2、More than ,and then we know

  11. Line-of-Sight Channels (3/3) • Urban street geometry ：

  12. Ricean Channels • Normalized Ricean Channel Matrix： • For array element at both T and R &

  13. Conclusion 1、Absence of reflectors ,we use n anten- nas ，replicating the effect of images of n-element T array. 2、Ray-Tracing may be useful for the perfo- rmance evaluation of MIMO wireless system.

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