© 2004, BROADBANDPhysics, Inc. All Rights Reserved.

Innovation

Through

Mathematics

Call for Interest on Broadband Over Power Lines

7 June 2004, Denver CO, USA

Mark Laubach, CEO, N3BMNBroadband Physics, Inc.

San Jose, CA

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Innovation

Through

Mathematics

Power Lines are a “Harsh Mistress” for high speed communications

• RF Environment– Power lines are bad antenna– History of being a bad neighbor to other services

• Harsh ingress noise environment– Tough on modulation for high bit rate with low

errors– Constantly changing impairments

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Innovation

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Mathematics Looking Forward

• The Physical Layer must be of sound foundation – reliable high capacity digital service– a good neighbor, today and in the future.

• Nothing else matters• Everything else is enabled

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Innovation

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Mathematics Broadband Physics

• Sub-band Division Multiplexing (SDM)– Wavelet mathematics applied to digital signaling– Carrier-less– Quadrature matched filter approach

• Filtering / de-filtering of well shaped impulses

– +55dB designed stop-band per Sub-Band– High phase-noise and phase ripple resiliency– Highly flexible– No cyclic-prefix or Time Domain Equalizer – and more….

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Mathematics SDM Overview

• Wavelet math inherently defines a multi-sub-band system– +55dB stop bands– Orthogonal in frequency and time

QuickTime™ and aTIFF (LZW) decompressor

are needed to see this picture.

QuickTime™ and aTIFF (LZW) decompressor

are needed to see this picture.

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Innovation

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Mathematics SDM “Baseband”

• Full 18MHz– Maintains steep stop-bands– Flat topped– Well behaved

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Mathematics SDM Flexibility and Integrity

• Unique sub-bands can be controlled via software– On / off– Depth of modulation

• 2bits/second/Hz through 12bits/second/Hz

– Key to Good Neighbor to other services– Key to future proofing (flexibility)

• Frequency domain impairments isolated to specific sub-bands– Well isolated due to stop-band performance– Key to phase and impairment resiliency

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Mathematics Ham Radio Band Plans (MHz)

Band Region 1 Region 2 Region 3

160m 1.810-1.850 1.800-2.000 1.800-2.000

80m 3.500-3.800 3.500-4.000 3.500-3.900

60m 5.332-5.405

40m 7.000-7.100 7.000-7.300 7.000-7.100

30m 10.100-10.150 10.100-10.150 10.100-10.150

20m 14.000-14.350 14.000-14.350 14.000-14.350

17m 18.068-18.168 18.068-18.168 18.068-18.168

15m 21.000-21.450 21.000-21.450 21.000-21.450

12m 24.890-24.990 24.890-24.990 24.890-24.990

10m 28.000-29.700 28.000-29.700 28.000-29.700

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Innovation

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Mathematics SDM Good Neighbor

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Mathematics SDM Resiliency

• SDM isolates frequency noise impairments to specific sub-bands

0DB

-10DB

-20DB

-30DB

-40DB

-50DB

-60DB

Power

Frequency

Single Sub-BandEqualization Domain SDM

• SDM can be designed to be very resilient to phase noise ripple, group delay, micro-reflections, multi-path, etc.

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Mathematics Very Low Spectral Regrowth

• 2 sub-bands off creates +50dB notch

• Approx 3dB regrowth for 18Mhz wide modulation

• Additive White Gaussian Noise (AWGN) only in notches, 50dB down!

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Mathematics Summary

• BoPL needs a sturdy foundation– SDM is a “brick wall” modulation with no “bandaids”– Highly flexible– Highly resilient to BoPL noise conditions

• BPI’s belief: if BoPL can conquer power lines and be friendly to adjacent services, can only be done via SDM

• BPI’s position:– Fully patented 7 U.S., 1 Canadian– If IEEE process were to select SDM technology, BPI

would be willing to license on a customary “non-discriminatory basis for a reasonable fee”

– BPI technology ready to vet this summer• Needs interested parties/company