C
Symbol Rate Calculations
C-1
SCM4000
Technical Reference Manual
Symbol Rate Calculations
C.1
Appendix Overview
This Appendix is provided as a guide to determine the symbol
rate required for your SCM4000 based on your particular Data
Channel interface configurations.
In digital communications, the symbol rate is the total bit rate
divided by the number of bits transmitted in each symbol.
Symbol rate is particularly relevant to digital modulation where
the number of symbols allowed in the modulation scheme is a
key factor in determining how many bits-per-second the radio
system can transmit. Symbol rate is measured in symbols-per-
second.
The total bit rate is the sum of the bit rates of all active Data
Channel interfaces (ASI, DS3/E3, T1/E1, SMPTE, Ethernet, and
RS-232/RS-485). The total bit rate must not exceed symbol rate
calculation values for the modulation type selected.
, and
are provided as examples
illustrating determination of symbol rates.
and
illustrate symbol rates determined using different total bit
rates. The examples will be described in the following
paragraphs. Your actual symbol rate will be determined using
and
.
illustrates typical standard Data Channel interfaces
and standard fixed or variable bit rates associated with each of
the Data Channel interface examples.
illustrates
Valid
symbol rates for
QPSK
,
16QAM
,
32QAM
, and
64QAM
modulation for the typical bit rate examples
shown in
.
illustrates
Invalid
and
Valid
symbol rates for
QPSK
,
16QAM
,
32QAM
, and
64QAM
modulation based on a higher
Total
.
is provided to determine the suggested symbol rate
and the suggested modulation type based on the total bit rate
and the RF channel bandwidth.
is a blank worksheet used to calculate your total bit
rate and to determine your suggested symbol rate. Copies of
are to be reproduced locally, as required.
C.2
Bit Rates and Symbol Rates
Bit rates are determined based on your particular SCM4000
Data Channel interface settings, as configured at the factory.
In the example shown in
, Data Channel
T1/E1 1
,
T1/
E1 2
,
ASI 2
, and
SMPTE 3
interfaces were selected as a typical
configuration. The fixed values for
T1/E1 1
,
T1/E1 2
, and
SMPTE 3
and a variable value for
ASI 2
were entered into the
Table, the values were copied into the
Summary
Rates
column,
the rates were added, and the sum was entered into the
Total
block.
The
Total
was then located in the
Summary Rate
Total
column and the corresponding symbol rate values for
QPSK
,
16QAM
,
32QAM
, and
64QAM
were recorded. When
locating the
Summary Rate Total
value in
the rate
should be rounded upward
.
In the example shown in
, the
Total
bit rate and the
associated symbol rates for
QPSK
,
16QAM
,
32QAM
, and
64QAM
were entered into the Table. Symbol rates for each of
the four modulation types are listed in
for the
Total
bit
rate example of
32.9847
and are therefore
Valid
symbol rates
for each modulation type.
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