Spectral Effciency Analysis Rev

FCC ID: KEAADL352

Operational Description

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FCCID_2801475

&Trimble
Trimble Navigation Limited
935 Stewart Drive
Sunnyvale, CA 94085
(408) 481—8000


                    Technical Justification of Bandwidth Use
03 November 2015

Federal Communications Commission
Office of Engineering and Technology
Equipment Approval Services

Re:      Application for FCC ID: KEAADL352, IC: 2368B—ADL352
         Model: ADL35—2

Dear Sir or Madam:

Pursuant to § 90.203(§)(8), in Trimble‘s customer‘s precision differential GPS systems, a slower
data rate (4800 bps and 8000 bps) will provide more spectral efficiency than the standard data
rate (9600 bps) over a 12.5 kHz channel bandwidth.

Please refer to the following pages for a statement concerning the spectral efficiency of our
system.

Please contact me should there be need for any additional clarification or information.



Best Regards,

%A/wm‘/“?’é’ =**...
Gerardo Torres
Regulatory Compliance Manager / Geospatial Division
Trimble Navigation
935 Stewart Drive
Sunnyvale, CA 94085
(408) 481—8000
(408) 481—7866 fax


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©Irimble
Trimble Navigation Limited
935 Stewart Drive
Sunnyvale, CA 94085
(408) 48 1—8000

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                                               Introduction

The KDB Publication 388624 outlines the process for obtaining new equipment authorizations
received by the commission prior to the full implementation date of 1/1/2016. This present
application falls into this category and thus meets the Commission‘s Rules on Part 90 transmitters
which provides, in pertinent part:

          Applications for new equipment authorizations received by the Commission before the
          transition date (i.e., 12/31/2015) can be granted with a wideband (25 kHz) emission
          designator as long as the equipment also has a narrowband (12.5 kHz and/or 6.25 kHz)
          emission designator. Applications for equipment with data rates less than 4800 bps under
          § 90.203(j) (8) are on the Permit—but—Ask List (refer to KDB Publication 388624) and
          can only be approved under limited conditions.

 The Commission has previously noted:

          [We] will provide manufacturers with additional flexibility to design spectrally
          efficient transmitters. The Commission‘s Equipment Authorization Division may,
          on a case by case basis, grant type acceptance to equipment with slower bit rates
          than specified in Sections 90.203(j)(3) and 90.203(j)(5) of our rules, provided that an
          acceptable technical analysis is submitted with the application which demonstrates that
          the slower data rate will provide more spectral efficiency than the standard data rate."

 The present application is for the broadcasting of precision differential corrections for GPS,
 and falls squarely within the scope of this exception. When considered as part of a system,
 the device in question provides spectrum efficiency and channel utilization far in excess of
 4800 bits/sec per 6.25 kHz.




 |       Replacement of Part 90 by Part 88 to Revise the Private Land Mobile Radio Services, 11 FCC Red
 17676, 17686 (1996) (emphasis added).


&Trimble
Trimble Navigation Limited
935 Stewart Drive
Sunnyvale, CA 94085
(408) 481 —8000

                                        Technical Analysis


Trimble systems transmit one data packet each second from a single source of data to a plurality
of receive—only radios. Each packet is up to 4500 bits. At a typical customer‘s earthmoving
construction site, the receive—only radios might include

         6 scrapers
         3 bulldozers
         2   motor graders
         2   shovels
         2   surveyors
         1   supervisor/grade checker

All of these sixteen users are mobile. They move throughout the entire construction site. To
perform their respective jobs, each of these receivers must receive greater than 90% error—free
packets from the transmitter. The transmissions are one—way. They are not acknowledged. There
are no retransmissions. This maximizes spectral efficiency. The received signals must be strong
enough to maintain minimum throughput to every mobile receiver or overall site productivity
suffers.

To operate in accordance with § 90.203(j) the radio transmitter would have to transmit at least
9600 bps when using 12.5 kHz channels. Our transmitters can and do support this rate (among
others). At this rate (assuming line—of—site propagation) a transmitter will cover a circular area
with normalized area A.

This radio transmitter also supports 4800 bps data rates. With its state—of—the—art modem, the
4800 bps data rate has 4 dB better link margin than at 9600 bps. This increases coverage to about
2%/2 A (104“0 =2.511...). The radius of the coverage circle is about 58% larger.

This radio transmitter also supports 8000 bps data rates. With its state—of—the—art modem, the
8000 bps data rate has 1 dB better link margin than at 9600 bps. This increases coverage to about
1% A (10”10 = 1,258...). The radius of the coverage circle is about 12% larger than at 9600 bps.

In order for a user to cover the area supported by the 4800 bps mode, a system of one transmitter
and 3 repeaters occupying three 12.5 kHz channels would be required. This system would allow
for an area coverage of 2.827A as shown in the figure below.


 P

&Irimble
Trimble Navigation Limited
935 Stewart Drive
Sunnyvale, CA 94085
(408) 481—8000




However, since three channels are required to implement such a system, the spectrum efficiency
is reduced by one—third.

When we normalize by the coverage area, we get equivalent spectral efficiencies for these four
transmitter (Tx) configurations.



                                   Area         Equivalent Spectral         Equivalent Spectral
        Configuration            Covered            Efficiency                   Efficiency
      (12.5kHz channel)                           With Only One               Per Receiver in
                                                  Receiver (bps)            16 Receiver System
                                                                                    (bps)
9600 bps single Tx                   A                  9600                       153,600

4800 bps single Tx                 2%/2 A        4800 * 2% = 12000                 192,000

8000 bps single Tx                 1% A          8000 * 1% = 10000                 160,000

9600 bps quad Tx (three          2.827 A       9600 * 2.827/3 = 9046               144,736
channels)



The third column shows the equivalent spectral efficiency for just one receiver. The calculation
of spectral efficiency for a typical system with sixteen receivers is shown in the final column for
each configuration.

As detailed in the table above, a typical system installation on a single 12.5 kHz channel can
support data rates exceeding 160,000 bits/sec. This performance represents spectrum efficiency
far in excess of that required under Section 90.203(j)(3).


&Trimble
Trimble Navigation Limited
935 Stewart Drive
Sunnyvale, CA 94085
(408) 481 —8000



Additionally, compared to conventional two—way systems with acknowledgments and
retransmissions, our one—way system is many times more spectrally efficient when there are
many receivers (16 receivers to one transmitter in the present case).


                                           Conclusion

 We respectfully submit that the Commission spectrum policy is served by calculating the
 spectrum efficiency of this equipment in terms of an integrated system that incorporates a
 large number of recipient equipment that use the high precision differential corrections from a
 single transmitter.



Document Created: 2019-10-29 08:40:59
Document Modified: 2019-10-29 08:40:59

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