SlideShare a Scribd company logo
1 of 12
Download to read offline
9172-V /2
Discussion Outline
+Automotive Radar Interoperability Issues
- Vision for Wrap-Around Protective Radar "Halo" on All Vehicles
Creates a Very Dense Interference Environment
+ Impacts of Recent Advance in Silicon CMOS Processing
- Potentially Disruptive Cost with a "New" Auto Radar
Architecture
+ PMCW Radar Characteristics I Contrast with FMCW
- Interoperability Considerations Specific to Coded Spread
Spectrum Approaches
+Future Standards for Protecting Auto Radar Interoperability
- Understanding the Envelope for Innovation in a Potentially
Crowded Market (and Spectrum)
+Status Review of the FCC 77-81 GHz NPRM
TREX ENTERPRISES- - ·--- - - ----,·--····--· '• - · -·- ···-·- ~-
PROPRIETARY INFORMATION C 0 n ,, 0 J~ A I 0 N
9172-V 13
Fundamental Radar Interference Challenge
+Lots of Radars on the Road...
Source: Bleckmanan,
Novedades,
Technologia 5/6/13
- Forward Facing Long-Range Radar (76.5 GHz) and Mid-Range Radar (76.5
or 79 GHz) on Every Car
- Rear-Facing Multi-Mode Radar (79 GHz), on High-end Cars
- Corner Short-Range Radars (79 GHz), on High-end Cars
+In Bumper-to-bumper Traffic, Forward- and Backward-Facing
Radars will Transmit into One Another from Point-blank Range
YREX ENTERPRISES- ·· ---------·-------·-·-·---------- · ·-·~--- · ·- ···- .
C Cl n P 0 I ~ A f I C') N
PROPRIETARY INFORMATION
Other Common Interference Challenges
~~"'¥':'""'" ·
,~-- ~;  ' "--- -- < •
Radar Crosstalk
_. -- -
Blinding
+Automotive Radars Will Interact in Different Ways
- e.g. FMCW-on-FMCW, FMCW-on-PMCW, Scanned-beam-on-MIMO
+Radar Manufacturers Can Prevent Self- or Like-type Interference through
Judicious Systems Engineering
- Managing radar beamwidth, direction and/or power dynamically
- Coordinating antenna polarizations and/or employing MRR/SRR band segmentation
- Offsetting FMCW chirps or orthogonalizing PMCW codes
+In Absence of Standards, New Market Entrants Can Negate Such Efforts
9172-V /4
TRE X ENTERPRISES--··- ,--.,--- ~--··- · ···· ···· -------·· -------PROPRIETARY INFORMATION C 0 H P (._") I ~ .t f 0 N
9172-V I 5
Dynamic Range Requirements
+Automotive Radar Receiver Sees -180 dB of Dynamic Range
- To limit distortion, tasks must be divided into smaller ranges of target distance
- Assume LRR is in separate band (existing 77 GHz Allocation)
- Forward SRR/MRR and Rear-Facing MRR Radar will share the 77-81 GHz Radar
Band
MRR
SRR
Parking
Range (m)
Min Max
5 30
1
0.2 1.2
cr (d8m2)
·Mhr Max
-10
-10
-10
40
40
40
40
Dynamic
Range (dB)
81
Radar Frequency
(GHz)
79*
79*
79*
(
Rmax)Dynamic Range= 40 log10 R . + (O"max - O"min)
min
*Could Be Subdivided, by Rule or by Convention
TREX: ENTERPRISES
PROPRIETARY INFORMATION t; -o · · · -;-~ ---;;--a-n; - -;::-·-----;-- -·; ·- --<-> - N
9172-V /6
New Development in Silicon CMOS
+Single-Chip 79 GHz PMCW Radar Transceiver Produced with 28
nm Lithography on Bulk-Silicon CMOS
- Record Efficiency (-10%) and Low-Cost (-$0.25), not attainable using
emergent SiGe technology
- First Published in IEEE Journal of Solid State Circuits, Vol. 49, No. 12,
December 2014
+Chip Comprises the Entire Transceiver Front End:
- Receiver LNA with 7 dB NF
- Transmitter PA with +11 dBm output power
- 5x Multiplier for 15.8 GHz external LO (79 GHz radar carrier)
- 2 Gbps BPSK signal modulator/demodulator at 79 GHz
TR E X _ ENTERPRISES-·· - - '-··--··- - - ·--- -----·-
PROPRIETARY INFORMATION c a n: P < l · ~ A r o N
"New" Radar Architecture
+Phase-Modulated Continuous Wave Radar
- Currently under development at Panasonic, under
investigation at Magna
- Coded BPSK waveform, similar to CDMA, GPS (spread
spectrum)
- Occupied Bandwidth Depends upon Modulation Rate, e.g.:
• LRR: 76.25-76.75 GHz
• MRR: 78.5-79.5 GHz
• SRR: 77.5-80.5 GHz
- Interference Susceptibility Dependent upon Code Type
+MIMO Antenna Array
- Low EIRP (-5 dBW), Digital Beamforming
- Channel Orthogonality Dependent upon Code Type
- -70 cm2 Combined Antenna Aperture Multi-Function (Long-, Mid- and
Short-Range) Radar
- Larger Distributed Apertures also Possible in Future
+Pertinent to Front, Corner, and Rear-Facing Radars
- High-End and Mass Market Radars using Single-Chip Transceiver Arrays
9172-V /7
TREX: ENTERPRISES
c.: Ct H P 0 H A. T Cl NPROPRIETARY INFORMATION
..--· ··-··-------· " ·-~ - - --- ----·-- ··-··· -~- ···- - - - - - -- ----~-
9172-V 16
PMCW Characteristics Compared to FMCW
+FMCW is Essentially "Incumbent" in this Space
- Pulse compression is performed in frequency space
• Narrowband instantaneous transmission, "spread spectrum" only when
averaged over slower chirp period
• Potential interference involves probability of chirp collisions (duty cycle)
- Log amp reduces IF dynamic range requirements
- Linearity of sweep module ("chirp"), LO phase noise and bit depth of
(post-compression) digitizer drive cost
+PMCW is Not Technically a New Approach, but Will Be Newer
to the Automotive Radar Space
- Pulse compression is performed temporally, using a matched filter
• BPSK modulation at 1-2 Gcps; "spread spectrum" in the true sense of the
phrase
• Potential interference involves probability of code collisions (design criterion)
- High IF dynamic range requirements
• Coding gain from long matched filter drops digitizer bit depth requirement
relative to FMCW, but increases digitizer speed requirement
- No significant cost drivers
TREX _ ENTERPRISES
PROPRIETARY INFORMATION C 0 H; I' C) I~ .I 'l 0 N
9172-V 19
PMCW MIMO Radar Interference:
Intrusiveness and Susceptibility
+Interference from MIMO PMCW Radar
- True spread spectrum (low instantaneous PSD) is maximally benign
to all similar and non-similar radar approaches
- Non-scanning MIMO antenna, with digital beamforming (low
instantaneous irradiance I EIRP) is maximally benign to all antenna
types
+Interference to MIMO PMCW Radar
- Very slow scanning FMCW radar (tone-like emitter)
could create false targets
• Not likely given update rate requirements for
automotive radar
• Modeling suggests that existing FMCW radar
causes no performance degradation to PMCW
1_:~11~[·-1 0 500 I000 1500 2000 2500 3000 3500 4000
- Auto- and Cross-Correlation sidelobes from host and
other PMCW radars could create false targets
• Interference susceptibility can be mitigated by
proper code selection and cycling
• A poor "first to market" PMCW design could limit
performance and restrict future market entry
Tx chip 11inonler
PMCW Chirp Averages
to Zero in Correlator
lO --1·r--·· -r y- ·-·
JO
~ 0
~ -10
&. -.w
...5 -10
:::.~ --10
-~o
118 1.56 384 ~•z
PFT frcqucu~· biu
T ~.JE X ____l;__NJJ.RP RISES
PROPRIETARY INFORMATION l; a H •"'" o r~ A c·> N
9172-V / 10
How Will Auto Radar Interoperability Be Enforced?
+ECC/ITU has Identified SRR in 77-81 GHz as Operating on a
"Non-interference and Non-protected Basis"
• "No harmful interference may be caused to other users of the band and no
claim may be made for protection from harmful interference received from
other systems" [2004/545/EC]
- Seems there is nothing to enforce here - how can this be the basis for
a safety-of-life feature that will soon be mandated for all vehicles?
- A better approach might be something similar to PCl-SIG "Plug-Fest,"
where new products must first prove harmonious interoperability with
radars already on the road
+ECC/ITU Emissions Limits:
- 25 dBW EIRP peak
- -9 dBm/MHz mean PSD radiated outside of vehicle
+Typical PMCW Radar:
- 5 dBW EIRP peak
- -14 dBm/MHz mean PSD radiated outside of vehicle
- Modeling suggests that PMCW is fully harmonious with FMCW
• However, e.g., narrowband tone emissions could be harmful to both
TREX ENTERPRISES_,__,_____. _, - ,~ - · ·· - -·- - ~ - ··---- ----
PROPRIETARY INFORMATION c (..."l I~ i-' (') N: A l I 0 N
9172-V 111
FCC NPRM and Rulemaking Timeline
+Trex has seen and read the NPRM and subsequent
comments
+Trex resonates with Bosch reply comments regarding
restricting LRR operations to 76-77 GHz band
- Although definition of LRR operations needs further detail
+Trex is engaging in R&D work associated with future
automotive radar technology
- ... and therefore seeks clarification on the current status and timeline
for the FCC Rulemaking process related to 77-81 GHz
- ... as well as an "on-ramp" for participating in future FCC/Industry
discussions related to this Rulemaking
TREX ENTERPRISES
PROPRIETARY INFORMATION C O f " t P 0 14 : A I O N
Oi.....
0 :=J
~.m
:><
~ill1i
~·"·m
x!Z
i-1
> m
A?
-I '"Cl
- A?
0 (./')
m
z U'l
-I
::r
D>
:::::s
::s;-
-<0
c:
·-

More Related Content

What's hot

Info vista planet-5g nr
Info vista planet-5g nrInfo vista planet-5g nr
Info vista planet-5g nrDenmark Wilson
 
PHYSICAL LAYER for DIGITAL TELEVISION ATSC 3.0 STANDARD based on SC – FDMA .
PHYSICAL LAYER for DIGITAL TELEVISION ATSC 3.0 STANDARD based on SC – FDMA .PHYSICAL LAYER for DIGITAL TELEVISION ATSC 3.0 STANDARD based on SC – FDMA .
PHYSICAL LAYER for DIGITAL TELEVISION ATSC 3.0 STANDARD based on SC – FDMA .Roman M. Vitenberg
 
Day one ofdma and mimo
Day one ofdma and mimoDay one ofdma and mimo
Day one ofdma and mimoArief Gunawan
 
5 g nr numerology
5 g nr numerology5 g nr numerology
5 g nr numerologyBraj Kishor
 
TV Repack & ATSC 3.0: SFN & Future proofing antennas
TV Repack & ATSC 3.0:  SFN & Future proofing antennasTV Repack & ATSC 3.0:  SFN & Future proofing antennas
TV Repack & ATSC 3.0: SFN & Future proofing antennaskmsavage
 
Field Measurement Options for Network Operators
Field Measurement Options for Network OperatorsField Measurement Options for Network Operators
Field Measurement Options for Network OperatorsADVA
 
61840841 handover-parameter
61840841 handover-parameter61840841 handover-parameter
61840841 handover-parameterSatwik Sansare
 
Lecture intro to_wcdma
Lecture intro to_wcdmaLecture intro to_wcdma
Lecture intro to_wcdmaGurpreet Singh
 
iPaso datasheet
iPaso datasheetiPaso datasheet
iPaso datasheetr3yn_hard
 
Telecordia NIST/WSTS Workshop: Mobile Backhaul Synchronization
Telecordia NIST/WSTS Workshop: Mobile Backhaul SynchronizationTelecordia NIST/WSTS Workshop: Mobile Backhaul Synchronization
Telecordia NIST/WSTS Workshop: Mobile Backhaul SynchronizationADVA
 
400 Gbs e 1 TBs systems and fiber nonlinearities Jacklyn Dias Reis
400 Gbs e 1 TBs systems and fiber nonlinearities   Jacklyn Dias Reis400 Gbs e 1 TBs systems and fiber nonlinearities   Jacklyn Dias Reis
400 Gbs e 1 TBs systems and fiber nonlinearities Jacklyn Dias ReisCPqD
 
GSM RF Interview Q&A
GSM RF Interview Q&AGSM RF Interview Q&A
GSM RF Interview Q&AYayvo.com
 
Ofdm for optical communications co ofdm
Ofdm for optical communications co ofdmOfdm for optical communications co ofdm
Ofdm for optical communications co ofdmJayakumar M
 
Boosting the Performance of Nested Spatial Mapping with Unequal Modulation in...
Boosting the Performance of Nested Spatial Mapping with Unequal Modulation in...Boosting the Performance of Nested Spatial Mapping with Unequal Modulation in...
Boosting the Performance of Nested Spatial Mapping with Unequal Modulation in...Ealwan Lee
 
Deliberant - Apc series-product-overview1
Deliberant - Apc series-product-overview1Deliberant - Apc series-product-overview1
Deliberant - Apc series-product-overview1Telcomms
 
SSD 2015 Presentation, POPS-OFDM: Ping-pong Optimized Pulse Shaping OFDM for ...
SSD 2015 Presentation, POPS-OFDM: Ping-pong Optimized Pulse Shaping OFDM for ...SSD 2015 Presentation, POPS-OFDM: Ping-pong Optimized Pulse Shaping OFDM for ...
SSD 2015 Presentation, POPS-OFDM: Ping-pong Optimized Pulse Shaping OFDM for ...Mohamed Siala
 
Tk 23 08-18 rh
Tk 23 08-18 rhTk 23 08-18 rh
Tk 23 08-18 rhZTE
 

What's hot (20)

Info vista planet-5g nr
Info vista planet-5g nrInfo vista planet-5g nr
Info vista planet-5g nr
 
PHYSICAL LAYER for DIGITAL TELEVISION ATSC 3.0 STANDARD based on SC – FDMA .
PHYSICAL LAYER for DIGITAL TELEVISION ATSC 3.0 STANDARD based on SC – FDMA .PHYSICAL LAYER for DIGITAL TELEVISION ATSC 3.0 STANDARD based on SC – FDMA .
PHYSICAL LAYER for DIGITAL TELEVISION ATSC 3.0 STANDARD based on SC – FDMA .
 
Day one ofdma and mimo
Day one ofdma and mimoDay one ofdma and mimo
Day one ofdma and mimo
 
5 g nr numerology
5 g nr numerology5 g nr numerology
5 g nr numerology
 
TV Repack & ATSC 3.0: SFN & Future proofing antennas
TV Repack & ATSC 3.0:  SFN & Future proofing antennasTV Repack & ATSC 3.0:  SFN & Future proofing antennas
TV Repack & ATSC 3.0: SFN & Future proofing antennas
 
Field Measurement Options for Network Operators
Field Measurement Options for Network OperatorsField Measurement Options for Network Operators
Field Measurement Options for Network Operators
 
61840841 handover-parameter
61840841 handover-parameter61840841 handover-parameter
61840841 handover-parameter
 
Lte tutorial
Lte tutorialLte tutorial
Lte tutorial
 
Paso neo a
Paso neo aPaso neo a
Paso neo a
 
Lecture intro to_wcdma
Lecture intro to_wcdmaLecture intro to_wcdma
Lecture intro to_wcdma
 
iPaso datasheet
iPaso datasheetiPaso datasheet
iPaso datasheet
 
Telecordia NIST/WSTS Workshop: Mobile Backhaul Synchronization
Telecordia NIST/WSTS Workshop: Mobile Backhaul SynchronizationTelecordia NIST/WSTS Workshop: Mobile Backhaul Synchronization
Telecordia NIST/WSTS Workshop: Mobile Backhaul Synchronization
 
400 Gbs e 1 TBs systems and fiber nonlinearities Jacklyn Dias Reis
400 Gbs e 1 TBs systems and fiber nonlinearities   Jacklyn Dias Reis400 Gbs e 1 TBs systems and fiber nonlinearities   Jacklyn Dias Reis
400 Gbs e 1 TBs systems and fiber nonlinearities Jacklyn Dias Reis
 
GSM RF Interview Q&A
GSM RF Interview Q&AGSM RF Interview Q&A
GSM RF Interview Q&A
 
Ofdm for optical communications co ofdm
Ofdm for optical communications co ofdmOfdm for optical communications co ofdm
Ofdm for optical communications co ofdm
 
OFDM
OFDMOFDM
OFDM
 
Boosting the Performance of Nested Spatial Mapping with Unequal Modulation in...
Boosting the Performance of Nested Spatial Mapping with Unequal Modulation in...Boosting the Performance of Nested Spatial Mapping with Unequal Modulation in...
Boosting the Performance of Nested Spatial Mapping with Unequal Modulation in...
 
Deliberant - Apc series-product-overview1
Deliberant - Apc series-product-overview1Deliberant - Apc series-product-overview1
Deliberant - Apc series-product-overview1
 
SSD 2015 Presentation, POPS-OFDM: Ping-pong Optimized Pulse Shaping OFDM for ...
SSD 2015 Presentation, POPS-OFDM: Ping-pong Optimized Pulse Shaping OFDM for ...SSD 2015 Presentation, POPS-OFDM: Ping-pong Optimized Pulse Shaping OFDM for ...
SSD 2015 Presentation, POPS-OFDM: Ping-pong Optimized Pulse Shaping OFDM for ...
 
Tk 23 08-18 rh
Tk 23 08-18 rhTk 23 08-18 rh
Tk 23 08-18 rh
 

Similar to Interference from mimo pmcw radar

5G NR_optimizing RAN design architecture to support new standards.pdf
5G NR_optimizing RAN design architecture to support new standards.pdf5G NR_optimizing RAN design architecture to support new standards.pdf
5G NR_optimizing RAN design architecture to support new standards.pdfssuser5c980e1
 
Owa200002 wcdma basic principle issue1.0
Owa200002 wcdma basic principle issue1.0Owa200002 wcdma basic principle issue1.0
Owa200002 wcdma basic principle issue1.0Szymon Nowak
 
Modern devices with spread spectrum application opportunities for wireless co...
Modern devices with spread spectrum application opportunities for wireless co...Modern devices with spread spectrum application opportunities for wireless co...
Modern devices with spread spectrum application opportunities for wireless co...Олександр Мазуренко
 
Analysis of FHSS-CDMA with QAM-64 over AWGN and Fading Channels
Analysis of FHSS-CDMA with QAM-64 over AWGN and Fading ChannelsAnalysis of FHSS-CDMA with QAM-64 over AWGN and Fading Channels
Analysis of FHSS-CDMA with QAM-64 over AWGN and Fading ChannelsIRJET Journal
 
ITU Workshop on Satellite Communications; Minsk 23.05.2018
ITU Workshop on Satellite Communications; Minsk 23.05.2018ITU Workshop on Satellite Communications; Minsk 23.05.2018
ITU Workshop on Satellite Communications; Minsk 23.05.2018Alon Zheltkov
 
SDR for radar 090623
SDR for radar 090623SDR for radar 090623
SDR for radar 090623Bertalan EGED
 
A Review on Identification of RADAR Range for the Target by using C Band
A Review on Identification of RADAR Range for the Target by using C BandA Review on Identification of RADAR Range for the Target by using C Band
A Review on Identification of RADAR Range for the Target by using C BandIRJET Journal
 
3 g coverage guidelines v2
3 g coverage guidelines v23 g coverage guidelines v2
3 g coverage guidelines v2Ryan Racun
 
The coherent optical edge
The coherent optical edgeThe coherent optical edge
The coherent optical edgeADVA
 
Open optical edge connecting mobile access networks
Open optical edge connecting mobile access networksOpen optical edge connecting mobile access networks
Open optical edge connecting mobile access networksADVA
 
OFC 2019 - 100G DWDM DCI/Metro Network Solutions - Debating alternatives to ...
OFC 2019 -  100G DWDM DCI/Metro Network Solutions - Debating alternatives to ...OFC 2019 -  100G DWDM DCI/Metro Network Solutions - Debating alternatives to ...
OFC 2019 - 100G DWDM DCI/Metro Network Solutions - Debating alternatives to ...Tim Yount
 
AIRCOM LTE Webinar 3 - LTE Carriers
AIRCOM LTE Webinar 3 - LTE CarriersAIRCOM LTE Webinar 3 - LTE Carriers
AIRCOM LTE Webinar 3 - LTE CarriersAIRCOM International
 
VEGA Wireless Communication With PLICSRADIO - Technology Brochure
VEGA Wireless Communication With PLICSRADIO - Technology BrochureVEGA Wireless Communication With PLICSRADIO - Technology Brochure
VEGA Wireless Communication With PLICSRADIO - Technology BrochureThorne & Derrick UK
 
GPS External Active Microstrip Patch Antenna
GPS External Active Microstrip Patch AntennaGPS External Active Microstrip Patch Antenna
GPS External Active Microstrip Patch AntennaMaxtena
 
5G Demystified; the what, when and where
5G Demystified; the what, when and where5G Demystified; the what, when and where
5G Demystified; the what, when and where3G4G
 
Dense wavelength division multiplexing
Dense wavelength division multiplexingDense wavelength division multiplexing
Dense wavelength division multiplexingBise Mond
 
Sdru 10 w-to-20w_9-band_us
Sdru 10 w-to-20w_9-band_usSdru 10 w-to-20w_9-band_us
Sdru 10 w-to-20w_9-band_usZTE
 

Similar to Interference from mimo pmcw radar (20)

What is 5G?
What is 5G?What is 5G?
What is 5G?
 
5G NR_optimizing RAN design architecture to support new standards.pdf
5G NR_optimizing RAN design architecture to support new standards.pdf5G NR_optimizing RAN design architecture to support new standards.pdf
5G NR_optimizing RAN design architecture to support new standards.pdf
 
Owa200002 wcdma basic principle issue1.0
Owa200002 wcdma basic principle issue1.0Owa200002 wcdma basic principle issue1.0
Owa200002 wcdma basic principle issue1.0
 
Modern devices with spread spectrum application opportunities for wireless co...
Modern devices with spread spectrum application opportunities for wireless co...Modern devices with spread spectrum application opportunities for wireless co...
Modern devices with spread spectrum application opportunities for wireless co...
 
Analysis of FHSS-CDMA with QAM-64 over AWGN and Fading Channels
Analysis of FHSS-CDMA with QAM-64 over AWGN and Fading ChannelsAnalysis of FHSS-CDMA with QAM-64 over AWGN and Fading Channels
Analysis of FHSS-CDMA with QAM-64 over AWGN and Fading Channels
 
ITU Workshop on Satellite Communications; Minsk 23.05.2018
ITU Workshop on Satellite Communications; Minsk 23.05.2018ITU Workshop on Satellite Communications; Minsk 23.05.2018
ITU Workshop on Satellite Communications; Minsk 23.05.2018
 
SDR for radar 090623
SDR for radar 090623SDR for radar 090623
SDR for radar 090623
 
A Review on Identification of RADAR Range for the Target by using C Band
A Review on Identification of RADAR Range for the Target by using C BandA Review on Identification of RADAR Range for the Target by using C Band
A Review on Identification of RADAR Range for the Target by using C Band
 
Interferometria
InterferometriaInterferometria
Interferometria
 
3 g coverage guidelines v2
3 g coverage guidelines v23 g coverage guidelines v2
3 g coverage guidelines v2
 
The coherent optical edge
The coherent optical edgeThe coherent optical edge
The coherent optical edge
 
Open optical edge connecting mobile access networks
Open optical edge connecting mobile access networksOpen optical edge connecting mobile access networks
Open optical edge connecting mobile access networks
 
OFC 2019 - 100G DWDM DCI/Metro Network Solutions - Debating alternatives to ...
OFC 2019 -  100G DWDM DCI/Metro Network Solutions - Debating alternatives to ...OFC 2019 -  100G DWDM DCI/Metro Network Solutions - Debating alternatives to ...
OFC 2019 - 100G DWDM DCI/Metro Network Solutions - Debating alternatives to ...
 
AIRCOM LTE Webinar 3 - LTE Carriers
AIRCOM LTE Webinar 3 - LTE CarriersAIRCOM LTE Webinar 3 - LTE Carriers
AIRCOM LTE Webinar 3 - LTE Carriers
 
VEGA Wireless Communication With PLICSRADIO - Technology Brochure
VEGA Wireless Communication With PLICSRADIO - Technology BrochureVEGA Wireless Communication With PLICSRADIO - Technology Brochure
VEGA Wireless Communication With PLICSRADIO - Technology Brochure
 
GPS External Active Microstrip Patch Antenna
GPS External Active Microstrip Patch AntennaGPS External Active Microstrip Patch Antenna
GPS External Active Microstrip Patch Antenna
 
5G Demystified; the what, when and where
5G Demystified; the what, when and where5G Demystified; the what, when and where
5G Demystified; the what, when and where
 
1 owa010010 wcdma ran overview issue 1.15
1 owa010010 wcdma ran overview issue 1.151 owa010010 wcdma ran overview issue 1.15
1 owa010010 wcdma ran overview issue 1.15
 
Dense wavelength division multiplexing
Dense wavelength division multiplexingDense wavelength division multiplexing
Dense wavelength division multiplexing
 
Sdru 10 w-to-20w_9-band_us
Sdru 10 w-to-20w_9-band_usSdru 10 w-to-20w_9-band_us
Sdru 10 w-to-20w_9-band_us
 

Recently uploaded

UNIT-II-ENGINE AUXILIARY SYSTEMS &TURBOCHARGER
UNIT-II-ENGINE AUXILIARY SYSTEMS &TURBOCHARGERUNIT-II-ENGINE AUXILIARY SYSTEMS &TURBOCHARGER
UNIT-II-ENGINE AUXILIARY SYSTEMS &TURBOCHARGERDineshKumar4165
 
call girls in G.T.B. Nagar (DELHI) 🔝 >༒9953330565🔝 genuine Escort Service 🔝✔️✔️
call girls in  G.T.B. Nagar (DELHI) 🔝 >༒9953330565🔝 genuine Escort Service 🔝✔️✔️call girls in  G.T.B. Nagar (DELHI) 🔝 >༒9953330565🔝 genuine Escort Service 🔝✔️✔️
call girls in G.T.B. Nagar (DELHI) 🔝 >༒9953330565🔝 genuine Escort Service 🔝✔️✔️9953056974 Low Rate Call Girls In Saket, Delhi NCR
 
如何办理(Flinders毕业证)查理斯特大学毕业证毕业证成绩单原版一比一
如何办理(Flinders毕业证)查理斯特大学毕业证毕业证成绩单原版一比一如何办理(Flinders毕业证)查理斯特大学毕业证毕业证成绩单原版一比一
如何办理(Flinders毕业证)查理斯特大学毕业证毕业证成绩单原版一比一ypfy7p5ld
 
John Deere 300 3029 4039 4045 6059 6068 Engine Operation and Service Manual
John Deere 300 3029 4039 4045 6059 6068 Engine Operation and Service ManualJohn Deere 300 3029 4039 4045 6059 6068 Engine Operation and Service Manual
John Deere 300 3029 4039 4045 6059 6068 Engine Operation and Service ManualExcavator
 
Digamma - CertiCon Team Skills and Qualifications
Digamma - CertiCon Team Skills and QualificationsDigamma - CertiCon Team Skills and Qualifications
Digamma - CertiCon Team Skills and QualificationsMihajloManjak
 
Russian Call Girls Delhi Indirapuram {9711199171} Aarvi Gupta ✌️Independent ...
Russian  Call Girls Delhi Indirapuram {9711199171} Aarvi Gupta ✌️Independent ...Russian  Call Girls Delhi Indirapuram {9711199171} Aarvi Gupta ✌️Independent ...
Russian Call Girls Delhi Indirapuram {9711199171} Aarvi Gupta ✌️Independent ...shivangimorya083
 
What Causes DPF Failure In VW Golf Cars & How Can They Be Prevented
What Causes DPF Failure In VW Golf Cars & How Can They Be PreventedWhat Causes DPF Failure In VW Golf Cars & How Can They Be Prevented
What Causes DPF Failure In VW Golf Cars & How Can They Be PreventedAutobahn Automotive Service
 
2024 TOP 10 most fuel-efficient vehicles according to the US agency
2024 TOP 10 most fuel-efficient vehicles according to the US agency2024 TOP 10 most fuel-efficient vehicles according to the US agency
2024 TOP 10 most fuel-efficient vehicles according to the US agencyHyundai Motor Group
 
꧁༒☬ 7042364481 (Call Girl) In Dwarka Delhi Escort Service In Delhi Ncr☬༒꧂
꧁༒☬ 7042364481 (Call Girl) In Dwarka Delhi Escort Service In Delhi Ncr☬༒꧂꧁༒☬ 7042364481 (Call Girl) In Dwarka Delhi Escort Service In Delhi Ncr☬༒꧂
꧁༒☬ 7042364481 (Call Girl) In Dwarka Delhi Escort Service In Delhi Ncr☬༒꧂Hot Call Girls In Sector 58 (Noida)
 
UNIT-IV-STEERING, BRAKES AND SUSPENSION SYSTEMS.pptx
UNIT-IV-STEERING, BRAKES AND SUSPENSION SYSTEMS.pptxUNIT-IV-STEERING, BRAKES AND SUSPENSION SYSTEMS.pptx
UNIT-IV-STEERING, BRAKES AND SUSPENSION SYSTEMS.pptxDineshKumar4165
 
FULL ENJOY - 9953040155 Call Girls in Sector 61 | Noida
FULL ENJOY - 9953040155 Call Girls in Sector 61 | NoidaFULL ENJOY - 9953040155 Call Girls in Sector 61 | Noida
FULL ENJOY - 9953040155 Call Girls in Sector 61 | NoidaMalviyaNagarCallGirl
 
Call Girl Service Global Village Dubai +971509430017 Independent Call Girls G...
Call Girl Service Global Village Dubai +971509430017 Independent Call Girls G...Call Girl Service Global Village Dubai +971509430017 Independent Call Girls G...
Call Girl Service Global Village Dubai +971509430017 Independent Call Girls G...kexey39068
 
如何办理(UC毕业证书)堪培拉大学毕业证毕业证成绩单原版一比一
如何办理(UC毕业证书)堪培拉大学毕业证毕业证成绩单原版一比一如何办理(UC毕业证书)堪培拉大学毕业证毕业证成绩单原版一比一
如何办理(UC毕业证书)堪培拉大学毕业证毕业证成绩单原版一比一fjjwgk
 
UNIT-1-VEHICLE STRUCTURE AND ENGINES.ppt
UNIT-1-VEHICLE STRUCTURE AND ENGINES.pptUNIT-1-VEHICLE STRUCTURE AND ENGINES.ppt
UNIT-1-VEHICLE STRUCTURE AND ENGINES.pptDineshKumar4165
 
如何办理爱尔兰都柏林大学毕业证(UCD毕业证) 成绩单原版一比一
如何办理爱尔兰都柏林大学毕业证(UCD毕业证) 成绩单原版一比一如何办理爱尔兰都柏林大学毕业证(UCD毕业证) 成绩单原版一比一
如何办理爱尔兰都柏林大学毕业证(UCD毕业证) 成绩单原版一比一mjyguplun
 
(办理学位证)(Rice毕业证)莱斯大学毕业证成绩单修改留信学历认证原版一模一样
(办理学位证)(Rice毕业证)莱斯大学毕业证成绩单修改留信学历认证原版一模一样(办理学位证)(Rice毕业证)莱斯大学毕业证成绩单修改留信学历认证原版一模一样
(办理学位证)(Rice毕业证)莱斯大学毕业证成绩单修改留信学历认证原版一模一样gfghbihg
 
办理学位证(MLU文凭证书)哈勒 维滕贝格大学毕业证成绩单原版一模一样
办理学位证(MLU文凭证书)哈勒 维滕贝格大学毕业证成绩单原版一模一样办理学位证(MLU文凭证书)哈勒 维滕贝格大学毕业证成绩单原版一模一样
办理学位证(MLU文凭证书)哈勒 维滕贝格大学毕业证成绩单原版一模一样umasea
 
(办理学位证)(Toledo毕业证)托莱多大学毕业证成绩单修改留信学历认证原版一模一样
(办理学位证)(Toledo毕业证)托莱多大学毕业证成绩单修改留信学历认证原版一模一样(办理学位证)(Toledo毕业证)托莱多大学毕业证成绩单修改留信学历认证原版一模一样
(办理学位证)(Toledo毕业证)托莱多大学毕业证成绩单修改留信学历认证原版一模一样gfghbihg
 
Innovating Manufacturing with CNC Technology
Innovating Manufacturing with CNC TechnologyInnovating Manufacturing with CNC Technology
Innovating Manufacturing with CNC Technologyquickpartslimitlessm
 

Recently uploaded (20)

UNIT-II-ENGINE AUXILIARY SYSTEMS &TURBOCHARGER
UNIT-II-ENGINE AUXILIARY SYSTEMS &TURBOCHARGERUNIT-II-ENGINE AUXILIARY SYSTEMS &TURBOCHARGER
UNIT-II-ENGINE AUXILIARY SYSTEMS &TURBOCHARGER
 
call girls in G.T.B. Nagar (DELHI) 🔝 >༒9953330565🔝 genuine Escort Service 🔝✔️✔️
call girls in  G.T.B. Nagar (DELHI) 🔝 >༒9953330565🔝 genuine Escort Service 🔝✔️✔️call girls in  G.T.B. Nagar (DELHI) 🔝 >༒9953330565🔝 genuine Escort Service 🔝✔️✔️
call girls in G.T.B. Nagar (DELHI) 🔝 >༒9953330565🔝 genuine Escort Service 🔝✔️✔️
 
如何办理(Flinders毕业证)查理斯特大学毕业证毕业证成绩单原版一比一
如何办理(Flinders毕业证)查理斯特大学毕业证毕业证成绩单原版一比一如何办理(Flinders毕业证)查理斯特大学毕业证毕业证成绩单原版一比一
如何办理(Flinders毕业证)查理斯特大学毕业证毕业证成绩单原版一比一
 
John Deere 300 3029 4039 4045 6059 6068 Engine Operation and Service Manual
John Deere 300 3029 4039 4045 6059 6068 Engine Operation and Service ManualJohn Deere 300 3029 4039 4045 6059 6068 Engine Operation and Service Manual
John Deere 300 3029 4039 4045 6059 6068 Engine Operation and Service Manual
 
Digamma - CertiCon Team Skills and Qualifications
Digamma - CertiCon Team Skills and QualificationsDigamma - CertiCon Team Skills and Qualifications
Digamma - CertiCon Team Skills and Qualifications
 
Russian Call Girls Delhi Indirapuram {9711199171} Aarvi Gupta ✌️Independent ...
Russian  Call Girls Delhi Indirapuram {9711199171} Aarvi Gupta ✌️Independent ...Russian  Call Girls Delhi Indirapuram {9711199171} Aarvi Gupta ✌️Independent ...
Russian Call Girls Delhi Indirapuram {9711199171} Aarvi Gupta ✌️Independent ...
 
What Causes DPF Failure In VW Golf Cars & How Can They Be Prevented
What Causes DPF Failure In VW Golf Cars & How Can They Be PreventedWhat Causes DPF Failure In VW Golf Cars & How Can They Be Prevented
What Causes DPF Failure In VW Golf Cars & How Can They Be Prevented
 
2024 TOP 10 most fuel-efficient vehicles according to the US agency
2024 TOP 10 most fuel-efficient vehicles according to the US agency2024 TOP 10 most fuel-efficient vehicles according to the US agency
2024 TOP 10 most fuel-efficient vehicles according to the US agency
 
꧁༒☬ 7042364481 (Call Girl) In Dwarka Delhi Escort Service In Delhi Ncr☬༒꧂
꧁༒☬ 7042364481 (Call Girl) In Dwarka Delhi Escort Service In Delhi Ncr☬༒꧂꧁༒☬ 7042364481 (Call Girl) In Dwarka Delhi Escort Service In Delhi Ncr☬༒꧂
꧁༒☬ 7042364481 (Call Girl) In Dwarka Delhi Escort Service In Delhi Ncr☬༒꧂
 
UNIT-IV-STEERING, BRAKES AND SUSPENSION SYSTEMS.pptx
UNIT-IV-STEERING, BRAKES AND SUSPENSION SYSTEMS.pptxUNIT-IV-STEERING, BRAKES AND SUSPENSION SYSTEMS.pptx
UNIT-IV-STEERING, BRAKES AND SUSPENSION SYSTEMS.pptx
 
FULL ENJOY - 9953040155 Call Girls in Sector 61 | Noida
FULL ENJOY - 9953040155 Call Girls in Sector 61 | NoidaFULL ENJOY - 9953040155 Call Girls in Sector 61 | Noida
FULL ENJOY - 9953040155 Call Girls in Sector 61 | Noida
 
Call Girl Service Global Village Dubai +971509430017 Independent Call Girls G...
Call Girl Service Global Village Dubai +971509430017 Independent Call Girls G...Call Girl Service Global Village Dubai +971509430017 Independent Call Girls G...
Call Girl Service Global Village Dubai +971509430017 Independent Call Girls G...
 
如何办理(UC毕业证书)堪培拉大学毕业证毕业证成绩单原版一比一
如何办理(UC毕业证书)堪培拉大学毕业证毕业证成绩单原版一比一如何办理(UC毕业证书)堪培拉大学毕业证毕业证成绩单原版一比一
如何办理(UC毕业证书)堪培拉大学毕业证毕业证成绩单原版一比一
 
UNIT-1-VEHICLE STRUCTURE AND ENGINES.ppt
UNIT-1-VEHICLE STRUCTURE AND ENGINES.pptUNIT-1-VEHICLE STRUCTURE AND ENGINES.ppt
UNIT-1-VEHICLE STRUCTURE AND ENGINES.ppt
 
如何办理爱尔兰都柏林大学毕业证(UCD毕业证) 成绩单原版一比一
如何办理爱尔兰都柏林大学毕业证(UCD毕业证) 成绩单原版一比一如何办理爱尔兰都柏林大学毕业证(UCD毕业证) 成绩单原版一比一
如何办理爱尔兰都柏林大学毕业证(UCD毕业证) 成绩单原版一比一
 
(办理学位证)(Rice毕业证)莱斯大学毕业证成绩单修改留信学历认证原版一模一样
(办理学位证)(Rice毕业证)莱斯大学毕业证成绩单修改留信学历认证原版一模一样(办理学位证)(Rice毕业证)莱斯大学毕业证成绩单修改留信学历认证原版一模一样
(办理学位证)(Rice毕业证)莱斯大学毕业证成绩单修改留信学历认证原版一模一样
 
sauth delhi call girls in Connaught Place🔝 9953056974 🔝 escort Service
sauth delhi call girls in  Connaught Place🔝 9953056974 🔝 escort Servicesauth delhi call girls in  Connaught Place🔝 9953056974 🔝 escort Service
sauth delhi call girls in Connaught Place🔝 9953056974 🔝 escort Service
 
办理学位证(MLU文凭证书)哈勒 维滕贝格大学毕业证成绩单原版一模一样
办理学位证(MLU文凭证书)哈勒 维滕贝格大学毕业证成绩单原版一模一样办理学位证(MLU文凭证书)哈勒 维滕贝格大学毕业证成绩单原版一模一样
办理学位证(MLU文凭证书)哈勒 维滕贝格大学毕业证成绩单原版一模一样
 
(办理学位证)(Toledo毕业证)托莱多大学毕业证成绩单修改留信学历认证原版一模一样
(办理学位证)(Toledo毕业证)托莱多大学毕业证成绩单修改留信学历认证原版一模一样(办理学位证)(Toledo毕业证)托莱多大学毕业证成绩单修改留信学历认证原版一模一样
(办理学位证)(Toledo毕业证)托莱多大学毕业证成绩单修改留信学历认证原版一模一样
 
Innovating Manufacturing with CNC Technology
Innovating Manufacturing with CNC TechnologyInnovating Manufacturing with CNC Technology
Innovating Manufacturing with CNC Technology
 

Interference from mimo pmcw radar

  • 1.
  • 2. 9172-V /2 Discussion Outline +Automotive Radar Interoperability Issues - Vision for Wrap-Around Protective Radar "Halo" on All Vehicles Creates a Very Dense Interference Environment + Impacts of Recent Advance in Silicon CMOS Processing - Potentially Disruptive Cost with a "New" Auto Radar Architecture + PMCW Radar Characteristics I Contrast with FMCW - Interoperability Considerations Specific to Coded Spread Spectrum Approaches +Future Standards for Protecting Auto Radar Interoperability - Understanding the Envelope for Innovation in a Potentially Crowded Market (and Spectrum) +Status Review of the FCC 77-81 GHz NPRM TREX ENTERPRISES- - ·--- - - ----,·--····--· '• - · -·- ···-·- ~- PROPRIETARY INFORMATION C 0 n ,, 0 J~ A I 0 N
  • 3. 9172-V 13 Fundamental Radar Interference Challenge +Lots of Radars on the Road... Source: Bleckmanan, Novedades, Technologia 5/6/13 - Forward Facing Long-Range Radar (76.5 GHz) and Mid-Range Radar (76.5 or 79 GHz) on Every Car - Rear-Facing Multi-Mode Radar (79 GHz), on High-end Cars - Corner Short-Range Radars (79 GHz), on High-end Cars +In Bumper-to-bumper Traffic, Forward- and Backward-Facing Radars will Transmit into One Another from Point-blank Range YREX ENTERPRISES- ·· ---------·-------·-·-·---------- · ·-·~--- · ·- ···- . C Cl n P 0 I ~ A f I C') N PROPRIETARY INFORMATION
  • 4. Other Common Interference Challenges ~~"'¥':'""'" · ,~-- ~; ' "--- -- < • Radar Crosstalk _. -- - Blinding +Automotive Radars Will Interact in Different Ways - e.g. FMCW-on-FMCW, FMCW-on-PMCW, Scanned-beam-on-MIMO +Radar Manufacturers Can Prevent Self- or Like-type Interference through Judicious Systems Engineering - Managing radar beamwidth, direction and/or power dynamically - Coordinating antenna polarizations and/or employing MRR/SRR band segmentation - Offsetting FMCW chirps or orthogonalizing PMCW codes +In Absence of Standards, New Market Entrants Can Negate Such Efforts 9172-V /4 TRE X ENTERPRISES--··- ,--.,--- ~--··- · ···· ···· -------·· -------PROPRIETARY INFORMATION C 0 H P (._") I ~ .t f 0 N
  • 5. 9172-V I 5 Dynamic Range Requirements +Automotive Radar Receiver Sees -180 dB of Dynamic Range - To limit distortion, tasks must be divided into smaller ranges of target distance - Assume LRR is in separate band (existing 77 GHz Allocation) - Forward SRR/MRR and Rear-Facing MRR Radar will share the 77-81 GHz Radar Band MRR SRR Parking Range (m) Min Max 5 30 1 0.2 1.2 cr (d8m2) ·Mhr Max -10 -10 -10 40 40 40 40 Dynamic Range (dB) 81 Radar Frequency (GHz) 79* 79* 79* ( Rmax)Dynamic Range= 40 log10 R . + (O"max - O"min) min *Could Be Subdivided, by Rule or by Convention TREX: ENTERPRISES PROPRIETARY INFORMATION t; -o · · · -;-~ ---;;--a-n; - -;::-·-----;-- -·; ·- --<-> - N
  • 6. 9172-V /6 New Development in Silicon CMOS +Single-Chip 79 GHz PMCW Radar Transceiver Produced with 28 nm Lithography on Bulk-Silicon CMOS - Record Efficiency (-10%) and Low-Cost (-$0.25), not attainable using emergent SiGe technology - First Published in IEEE Journal of Solid State Circuits, Vol. 49, No. 12, December 2014 +Chip Comprises the Entire Transceiver Front End: - Receiver LNA with 7 dB NF - Transmitter PA with +11 dBm output power - 5x Multiplier for 15.8 GHz external LO (79 GHz radar carrier) - 2 Gbps BPSK signal modulator/demodulator at 79 GHz TR E X _ ENTERPRISES-·· - - '-··--··- - - ·--- -----·- PROPRIETARY INFORMATION c a n: P < l · ~ A r o N
  • 7. "New" Radar Architecture +Phase-Modulated Continuous Wave Radar - Currently under development at Panasonic, under investigation at Magna - Coded BPSK waveform, similar to CDMA, GPS (spread spectrum) - Occupied Bandwidth Depends upon Modulation Rate, e.g.: • LRR: 76.25-76.75 GHz • MRR: 78.5-79.5 GHz • SRR: 77.5-80.5 GHz - Interference Susceptibility Dependent upon Code Type +MIMO Antenna Array - Low EIRP (-5 dBW), Digital Beamforming - Channel Orthogonality Dependent upon Code Type - -70 cm2 Combined Antenna Aperture Multi-Function (Long-, Mid- and Short-Range) Radar - Larger Distributed Apertures also Possible in Future +Pertinent to Front, Corner, and Rear-Facing Radars - High-End and Mass Market Radars using Single-Chip Transceiver Arrays 9172-V /7 TREX: ENTERPRISES c.: Ct H P 0 H A. T Cl NPROPRIETARY INFORMATION ..--· ··-··-------· " ·-~ - - --- ----·-- ··-··· -~- ···- - - - - - -- ----~-
  • 8. 9172-V 16 PMCW Characteristics Compared to FMCW +FMCW is Essentially "Incumbent" in this Space - Pulse compression is performed in frequency space • Narrowband instantaneous transmission, "spread spectrum" only when averaged over slower chirp period • Potential interference involves probability of chirp collisions (duty cycle) - Log amp reduces IF dynamic range requirements - Linearity of sweep module ("chirp"), LO phase noise and bit depth of (post-compression) digitizer drive cost +PMCW is Not Technically a New Approach, but Will Be Newer to the Automotive Radar Space - Pulse compression is performed temporally, using a matched filter • BPSK modulation at 1-2 Gcps; "spread spectrum" in the true sense of the phrase • Potential interference involves probability of code collisions (design criterion) - High IF dynamic range requirements • Coding gain from long matched filter drops digitizer bit depth requirement relative to FMCW, but increases digitizer speed requirement - No significant cost drivers TREX _ ENTERPRISES PROPRIETARY INFORMATION C 0 H; I' C) I~ .I 'l 0 N
  • 9. 9172-V 19 PMCW MIMO Radar Interference: Intrusiveness and Susceptibility +Interference from MIMO PMCW Radar - True spread spectrum (low instantaneous PSD) is maximally benign to all similar and non-similar radar approaches - Non-scanning MIMO antenna, with digital beamforming (low instantaneous irradiance I EIRP) is maximally benign to all antenna types +Interference to MIMO PMCW Radar - Very slow scanning FMCW radar (tone-like emitter) could create false targets • Not likely given update rate requirements for automotive radar • Modeling suggests that existing FMCW radar causes no performance degradation to PMCW 1_:~11~[·-1 0 500 I000 1500 2000 2500 3000 3500 4000 - Auto- and Cross-Correlation sidelobes from host and other PMCW radars could create false targets • Interference susceptibility can be mitigated by proper code selection and cycling • A poor "first to market" PMCW design could limit performance and restrict future market entry Tx chip 11inonler PMCW Chirp Averages to Zero in Correlator lO --1·r--·· -r y- ·-· JO ~ 0 ~ -10 &. -.w ...5 -10 :::.~ --10 -~o 118 1.56 384 ~•z PFT frcqucu~· biu T ~.JE X ____l;__NJJ.RP RISES PROPRIETARY INFORMATION l; a H •"'" o r~ A c·> N
  • 10. 9172-V / 10 How Will Auto Radar Interoperability Be Enforced? +ECC/ITU has Identified SRR in 77-81 GHz as Operating on a "Non-interference and Non-protected Basis" • "No harmful interference may be caused to other users of the band and no claim may be made for protection from harmful interference received from other systems" [2004/545/EC] - Seems there is nothing to enforce here - how can this be the basis for a safety-of-life feature that will soon be mandated for all vehicles? - A better approach might be something similar to PCl-SIG "Plug-Fest," where new products must first prove harmonious interoperability with radars already on the road +ECC/ITU Emissions Limits: - 25 dBW EIRP peak - -9 dBm/MHz mean PSD radiated outside of vehicle +Typical PMCW Radar: - 5 dBW EIRP peak - -14 dBm/MHz mean PSD radiated outside of vehicle - Modeling suggests that PMCW is fully harmonious with FMCW • However, e.g., narrowband tone emissions could be harmful to both TREX ENTERPRISES_,__,_____. _, - ,~ - · ·· - -·- - ~ - ··---- ---- PROPRIETARY INFORMATION c (..."l I~ i-' (') N: A l I 0 N
  • 11. 9172-V 111 FCC NPRM and Rulemaking Timeline +Trex has seen and read the NPRM and subsequent comments +Trex resonates with Bosch reply comments regarding restricting LRR operations to 76-77 GHz band - Although definition of LRR operations needs further detail +Trex is engaging in R&D work associated with future automotive radar technology - ... and therefore seeks clarification on the current status and timeline for the FCC Rulemaking process related to 77-81 GHz - ... as well as an "on-ramp" for participating in future FCC/Industry discussions related to this Rulemaking TREX ENTERPRISES PROPRIETARY INFORMATION C O f " t P 0 14 : A I O N
  • 12. Oi..... 0 :=J ~.m :>< ~ill1i ~·"·m x!Z i-1 > m A? -I '"Cl - A? 0 (./') m z U'l -I ::r D> :::::s ::s;- -<0 c: ·-