[comp.dcom.telecom] Cellular Channel Capacity

"John R. Covert 08-Apr-1990 1031" <covert@covert.enet.dec.com> (04/08/90)

Re: Al Ginbey's reply concerning Cellular channel capacity:
 
>The specific limit and the method used in the detection and use of the
>next available channel differs by city/system.  I believe the limit of
>U.S. West in the Omaha area is 10 channels.  The next available
>channel is marked with a tone.

You're describing the old IMTS (non-cellular) mobile system.  One of
the many major advantages of cellular technology is a drastic increase
in channel capacity.

U.S. West informs me that Omaha had three cell sites as of last
November, and may have a few more by now.  I am certain that the
channel capacity of _each_ of these sites is at least 12 channels, and
more likely is two to four times that.  In larger cities, each of the
two carriers has between fifty and one-hundred cell sites, with each
carrier planning the addition of new sites in 1990 at the rate of
about two per month.

The FCC has allocated 832 channels for use in cellular systems,
although few cities have expanded their systems beyond the 666
channels initially allocated.  This spectrum is divided in half, with
the "A" and "B" carriers each receiving half the channels.  Each
channel is a duplex channel using separate frequencies for transmit
(from the cellular phone) and receive (at the cellular phone).

In the initial channel allocation, channels were numbered 1-666.  The
"A" carriers had 1-333 and the "B" carriers had 334-666.

In the 832 channel system, the additional channels are numbered
667-799 and 991-1023.  The 33 channels from 991-1023 are allocated
_below_ channel 1 in frequency.  Channels 800-990 are not assigned.

I'm not sure exactly how the 166 additional channels were allocated by
carrier, but each carrier received 83 additional channels for a total
of 416.

The following formulas compute the phone's transmit and receive freqs:

receive_freq = (if channel<991 then 870.030 MHz else 869.04) !chan 1/991
		+ 30kHz x (channel - 1 or 991)

transmit_freq= (if channel<991 then 825.030 MHz else 824.04) !chan 1/991
		+ 30kHz x (channel - 1 or 991)

A cellular phone scans for the strongest set-up channel (334-353 on
the "B" carrier and 333-314 on the "A" carrier).  This channel
transmits a continuous 19.2 kbps data stream containing information
such as the system ID (a 16-bit number), sign-in requirements,
incoming call requests, and initial channel assignments for each call.

Cellular phones transmit on the set-up channel using a contention
protocol when they want to initiate an outgoing call or accept an
incoming call.  The cell site then sends a message in the data-stream
to tell the cellular phone which channel it should switch to for
processing the call.  Further channel switch requests or power
assignments during the call are sent to the phone on the same channel
as is being used for the voice connection (thus not every blip you
hear while using a cellular phone is a cell switch; many of them are
commands to increase or decrease transmit power).

The maximum channel capacity in any system will depend on the actual
engineering requirements of that system, determined by the terrain,
the cell placement, and marketing considerations.  The theoretical
maximum capacity of a single cell in a fully built-out system of
honeycomb-shaped cells over perfectly flat terrain would be one
seventh the total capacity available to each carrier, or about 56
channels per cell (after removing the set-up channels from the
calculation).  Cell size can be made almost arbitrarily small, since
transmit power can be limited by command from the cell site to as
little as 4.8 milliwatts measured at the antenna connector.

In practice, cell sites tend to have either less than or more than the
number above.  The system must be designed so that co-channel
interference is held to acceptable minimums.  The terrain and
placement of each cell will determine in which nearby cell it first
becomes reasonable to re-use a frequency used in some other cell.

Determination of the number of customers to accept requires a traffic
analysis considering the local market data.  People in Los Angeles
spend more time in their cars than people in New York; thus the amount
of traffic each customer offers to the network is greater.  On the
other hand, people in Hong Kong carry portable phones and use them
while walking down the street and while eating in restaurants, because
the system is well-designed for portables, the cost is less than 16
cents per minute, and fewer people have cars.

It should be obvious that a reduction in the cost of making cellular
phone calls in an existing system without an increase in the
associated channel capacity will quickly affect the system loading.
It should also be obvious that a lower call completion rate may be
more acceptable in some countries than in others.

For example, in Germany, where it is often necessary to redial several
times to complete a normal land-line call from Stuttgart to Munich,
customers will be more willing to retry calls to cellular phones, put
up with recordings announcing that the call is in a holding queue, or
accept a time limitation on the length of calls.

/john