| On the Validity
of the Longley-Rice (50,90/10) Propagation Model For HDTV Coverage and Interference
Analysis By: O. Bendov
Introduction
In 1948 the FCC issued a "freeze"
order, suspending new and pending applications for construction of television-broadcasting
facilities pending further study of channel allocation and the method of service and
interference prediction. The "freeze" was lifted in 1952 as part of the then
FCC's 6th Report & Order, which included the NTSC table of channel allocation and
propagation curves. Thereafter, the UHF propagation curves were deemed inaccurate. It took
271 engineers three years, from 1956 to 1959, to complete the experiments leading to the
establishment of the propagation curves now in use for NTSC stations. That task was
carried out by the Television Allocation Study Organization (TASO), set up by the FCC.
Fifty years later, in 1998, the FCC issued another 6th
Report & Order (an ironic coincidence!) that included the channel allocation table for
digital television. Unfortunately, the Longley-Rice (LR) propagation model, as used by the
FCC for interference and coverage was not validated prior to the issuance of the
allocation table. To date, there is no known concerted effort to validate the LR model.
The validity of the LR model can be questioned on several grounds. Among the questions are
-- will history repeat itself and will a new TASO have to be convened?
Chances are, history will repeat itself Unacceptable
interference by HDTV stations to cochannel and adjacent channel NTSC stations have been
reported. Mandatory standards for minimal receiver performance do not exist. The threshold
level by multiple interferers with a single victim remains unknown. Indoor reception is
uncertain. And, the few field tests, limited in scope and with widely varying and
unexplained results, have not answered some critical questions. One critical question,
fundamental to channel allocation, interference and service prediction, is the concern of
this paper.
Examples
A. Channel 53 in Charlotte. NC
Field testing of the Grand Alliance's HDTV transmission subsystem was conducted during
1994 in Charlotte, NC. The terrain was variable. The radiation center was approximately
1940' above mean sea level on a tower 1337' above ground. The Effective Radiated Power
(ERP) was set at 31.6 kW.
The expected coverage calculated using the LR propagation
model with the parameters recommended by the FCC is shown in Figure 1. The circled
locations are the locations were HDTV reception had failed. The radio horizon map is shown
in Figure 2. This map provides a more realistic prediction of coverage than the LR model.
To match the coverage shown in Figure 1 with that of Figure 2, the percentages of
locations and time availability would have to be raised from 50,90 to 99,99 and the
confidence margin would have to be raised from 0 to 10 dB.
Click
Here for Figure 1
Click
Here for Figure 2
1.Test data is published in the interim report (September
1998) of the Model HDTV Station Field Test Program. I am grateful to V. Tawil of AMST Inc.
for providing the data on a disk.
2 The field strength of HDTV cannot be measured directly.
It is calculated from the total power in 6 MHz and does not include the effective loss of
power due to multipath. For a detailed discussion of this point, see "Predicting HDTV
Coverage," Broadcast Engineering, March 1966.
Click
Here for Figure 5
B. WHD. Channel 30. in Washington
D.C.1
The model station, WHD, operates with an Effective Radiated Power (ERP) of 440
kW (56.43 dBw) from an antenna 405 feet above ground. The measurements analyzed here were
performed within the arc over which the ERP is relatively constant. The coverage predicted
by the LR model is shown in Figure 3. The circles in Figure 3 are the locations were HDTV
service had either failed or is deemed unreliable. Failed or unreliable service locations
are defined here as those sites with carrier-noise margin of < 1 dB. The
percentage failure was 32% (84 of 263 outdoor sites).
Click
Here for Figure3
Figure 4 shows the failed sites plotted on the radio
horizon/shadow map. While the radio horizon map may be an improved indicator of coverage
over the LR(50,90), it is useless for interference analysis.
Click
Here for Figure 4
In all of the failed sites, the measured "Field
Strength2" of the HDTV signal was well below that predicted by either
LR(50,90) or by the F(50,90) curves as shown in Figure 5. Clearly, a "Field
Strength" of 41dBu cannot serve as reliable predictor of coverage.
Even with higher "Field Strengths," service has
failed in many locations. As shown in Figure 6, service has essentially failed at 94% of
the locations in which the "Field Strength" did not exceed 49 dBu. The
difference between the number of sites visited and the number of failed sites begins to
spread for "Field Strengths" > 49 dBu.
Click
Here For Figure 6
Evaluating the coverage of just two stations is hardly
definitive, but the results suggest that the LR(50,90) propagation model may not be
generally applicable for reliable HDTV coverage prediction unless its input parameters are
properly adjusted. Similarly, the usage of LR(50,10) for interference analysis may need
reevaluation. The shortcomings of the LR model are:
á Unrealistic statistical margins.
á Multipath, the most serious cause of HDTV service failure, is ignored.
á The LR algorithm applies to a single carrier, not to wide band (6 MHz) signals.
Realistic Propagation Modeling
In producing the HDTV channel allocation table, the FCC relied, simultaneously, on two
different propagation models. One model was the empirically derived curves for NTSC. The
second was the LR. From a technical standpoint, there would be no reason for mixed use of
different models, with widely divergent prediction of service, if one of the two were
appropriate for the purpose.
A mathematical propagation model requires that the user
enter several critical parameters before calculation can proceed. As is always the case
with computer modeling, the axiom "garbage in - garbage out" applies. What are
the critical parameters and what values did the FCC assign these parameters?
Height of Receive Antenna
The median gain/loss of signal due to a change in the height of a UHF receive antenna
from a reference height of 30 feet is3:

H is the height in feet, A=4, 6, and 8 are respectively,
for Rural, Suburban and Urban areas.
3 ITU Recommendation P.370-7, 1995.
The FCC set the antenna height above ground at 30'. That
elevation may have been appropriate during the 1950's. Nowadays, the average height of
outdoor antennas would be lower. For example, if the height of the receive antenna were
15' above ground, a received UHF signal would be -6.0 dB below that expected from an
antenna 30' above ground. It would take quadrupling of the transmitter power to make up
this loss.
Receiver Noise Figure
For UHF-NTSC receivers, the FCC mandates a minimum noise
figure of 14 dB. A minimum noise figure specification for HDTV receivers has not been
mandated. The FCC has used a noise figure of 7 dBs a planning factor for UHF-HDTV but that
noise figure is not binding on the manufacturers of HDTV sets.
Even if the manufacturers specify 7 dB as a noise figure,
that noise figure cannot be used for service prediction without further modification. The
reason for that is that the factory noise figure is measured with the receiver
("load") matched to the noise generator ("source"). A household
antenna is rarely matched to the receiver. A Standing Wave Ratio (SWR) of 5:1 across the
UHF band is not unusual and a ratio of 2:1 is common. The effective noise figure increases
for a mismatched antenna/ receiver. For a 2:1 mismatch, the effective noise figure
increases by 3 dB over the factory's noise figure. It would take more than doubling of the
transmitter power to make up this loss.
The factory specification for noise figure of production
run UHF-HDTV receivers will probably be closer to 10 dB. That is 3 dB higher than that
specified in the planning factors. The effective noise figure, accounting for the SWR in
the downlead cable, would then be closer to 13 dB than to 7 dB. All these shortfalls could
be mitigated by a "smart" receive antenna4
4First proposed by the author at the PS/'WP3
meetings and later elaborated in two papers presented by the author at the 1994 and 1997
NAB conventions.
The Effective Earth Radius Multiplier Factor
The variations in propagation conditions require that the
US be divided into three zones. The 1959 TASO report recommended that the multiplier
factors for the three zones be:
| Eastern Seaboard |
KA= .75 |
| Gulf Coast |
KA= .85 |
| Remainder of US |
KA= .33 |
Therefore, the radio horizon, which is the
line-of-sight for UHF waves, is not uniform around the US. Based on effective earth radius
recommended by TASO, the radio horizon for various antenna heights around the US are:
Effective
Earth Radius: |
Gulf Coast
7326m |
Eastern Seaboard
6930m |
Remainder
of US
5280m |
| |
Radio
Horizon (miles) |
| Antenna @ 1000 Ft. |
53 |
51 |
43 |
| Antenna @ 1500 Ft. |
65 |
63 |
55 |
| Antenna @ 2000 Ft. |
75 |
72 |
63 |
| Antenna @ 2500 Ft. |
83 |
81 |
71 |
The FCC's LR model assumes an effective
earth radius of 5280 miles everywhere.
Statistical Margins
The received power level of over-the-air transmission depends on factors that are
neither constant nor exactly accountable for. Local terrain and weather variations are
examples. Therefore, statistics and probability are used to supplement the calculation of
the received signal level. With a statistical description of measured data at hand, a
safety margin is assigned to the unpredictable degrading factors. The margin, expressed in
dB, is a power-loss penalty subtracted from the ERP to ensure that the statistics of HDTV
reception would meet at least the preset levels.
The LR model allows for an assessment of most but not all
of the required margins. Included in LR are margins for location and time variations and
confidence level. Not included in LR, but a necessity in digital RF links, is a margin for
multipath.
a. Reliability margin
This margin, in dB, is subtracted from the median signal level to insure a higher
probability than having the desired signal at just the best 50% of the location at least 50%
of the time. What the correct percentages are for digital television where the picture
abruptly disappears rather than fades, no one knows. The FCC has set the same reliability
statistics for HDTV as those in use for NTSC. That is, HDTV is considered to be reliably
available if it can be viewed at least 90% of the time at the best 50% of the locations.
At the other 50% of locations, any percentage of time availability would be acceptable. A
loss of picture 10% of the time within the best 50% of the locations would be acceptable
as well.
b. Confidence margin
The LR model requires as input of the confidence level that the designed
reliability (time and location) will be met by a percentage of broadcasters in any one
market. The FCC set the confidence level at 50%. That means that at least 50% of
the stations in any one market will have HDTV signals available at least 90% of the time
at the best 50% of the locations. The signal availability statistics of other 50% of
the stations in the same market may be lower.
It has been pointed out5 that the result of
using the LR model with a 50% confidence level is not comparable to that of using the
FCC's (50,50) curves, and that confidence levels of at least 90% must be used in the UHF
band.
5 Louis A. Williams, Jr., private communication
sent to the Association of Federal Communications Consulting Engineers (AFCCE) DTV
Committee dated August 2, 1997.
c. Receiver equalizer imultipath margin
Experience to date has shown that multipath propagation is a major detriment to
HDTV reception, even when received by outdoor antennas. The effect of multipath
propagation appears as in-band amplitude and phase distortion. If the multipath does not
exceed a certain time delay and/or certain magnitude, the equalizer at the receiver will
provide the correction - at a price. The price, in dB, amounts to a power penalty that
effectively increases the threshold level of the carrier - noise ratio.
The use of a multipath ("dispersion") margin in wide band digital radio links is
well known and thoroughly documented6. The addition of this safety margin is
important because the LR model is presently designed for single-frequency signals only.
6 For example, "A Simplified Method for
Prediction of Multipath Fading Outage of Digital Radio" by Y. Serizawa and S.
Takeshita, IEEE transactions on Communications, Vol. COM-3 1, August 1983. Also, EDX
Engineering MSITETM manual.
Interference Prediction
The assumptions in the FCC's Planning Factors are that the outdoor receive antenna is
30 feet above ground and that the antenna's backlobe (-14 dB @ UHF) is oriented toward the
interfering station. But what about cable head-ends with receive antennas 300 feet above
ground? What if the home user cannot rotate the outdoor antenna in such a way that the
backlobe is toward the interfering station? What if rotating the antenna to minimize the
interference also causes a loss of the desired channel? These questions may have to be
faced in the months to come as the levels of cochannel and adjacent channel interference
into NTSC channels becomes clearer7. Here too, a validation of LR(50,10) may be
timely.
7As of November 1, 1998, unexpected cochannel interference has been reported in
WI and adjacent channel interference has been reported in PA.
Excessive interference could also result from higher than
planned ERP in some directions. There are two potential causes for excessive ERP:
á Filing based on an incorrect antenna gain.
Until November 1998, licensing applications for HDTV used form FCC 302 which did
not require that the antenna's RMS and peak gains both be listed. The peak gain can exceed
the RMS gain by several dB. Since the Commission's rules are not specific on this matter
and RMS gain has been used for omnidirectional NTSC stations, it could be assumed that
either gain is acceptable. The relation between the two definitions of gain is shown in
Figure 7.
Click
Here for Figure 7
The peak gain of the omnidirectional antenna pattern is
3.25 dB above the RMS circle. Therefore, if filed on the basis of RMS gain, the antenna
whose pattern is shown in Figure 7 could be used as part of a checklist application and
licensed for ERP of 473 kW (RMS) which would not exceed the allowable ERP anywhere.
However, the peak ERP of that antenna would reach 1,000 kW, exceeding the allowable ERP in
two directions.
In November 1998, a new form, FCC 302-DTV, was issued. The
new form requires that both peak and the RMS gains of the antenna be specified. That
requirement closes only half of the loophole. For example, antennas may require a larger
diameter support pole in order to meet certain structural specifications. Now, should the
RMS and peak gains of the antenna assuming the supporting pole does not exist be submitted
or should the as-installed patterns be submitted?
á As-installed antenna pattern.
Antennas that are side-mounted on the tower shaft and antennas that are placed
next to one another on one tower will have their patterns modified by the proximity to
other conducting objects. An example of the modified pattern of an omnidirectional
antenna, side-mounted next to a tower with an 8-feet face, is shown in Figure 8. Clearly,
in some directions the ERP has increased by as much as 3.64 dB.
Click
Here for Figure 8
The potential problems that could arise from the situations
described are easily correctable. First, license applications should include the antenna
patterns and gain specifications with the support poles (if used). Second, for antennas
installed within 50 feet of a metallic obstruction, factory patterns as well the
as-installed patterns would be required as part of the license application.
Conclusion
Analysis of the available field test results coupled with key theoretical
considerations shows that a modification of the LR model will be required before it could
be effectively used for HDTV coverage and interference prediction8.
There may also be software code implementation error.
Hammett & Edison, a consulting engineering firm, has asserted to the FCC that, on
average, 18% of the population reside in cells arbitrarily assumed to get HDTV service
even though a proper LR(50,90) calculation could not be performed in those cells.
This paper has also demonstrated that a "Field
Strength" 41 dBu is inadequate and inappropriate as a measure of HDTV service contour
and as a measure of service within that contour.
The limits to reliable HDTV service will not be known until
several thousand sets are in place in each of the major markets. In the meantime, the
radio line-of-sight could serve more reliably as a predictor of HDTV coverage than
LR(50,90).
Several steps should be taken now to help smooth the
transition period ahead:
First, the LR model should be modified for wide-band
signals, its statistical margins adjusted and multipath margins for urban and suburban
areas added. The multipath margins would be related to the performance of the receiver's
equalizer.
Second, future field tests should be expanded for
the purpose of determining the correct parameters used by the LR model for coverage and
interference predictions.
Third, the FCC should establish minimum performance
standard for HDTV sets. The standard should cover noise-figure, selectivity and
equalization.
Fourth, the FCC, in cooperation with industry and
academic institutions, should establish TASO II as an advisory group to help resolve key
transmission and allocation problems related to digital television broadcasting. |