CDM-600 Satellite Modem

Revision 7

Eb/No Measurement

MN/CDM600.IOM

The idea is to accurately measure the value of (Co+No)/No, (Carrier density + Noise density/Noise density). This is accomplished by tuning the center frequency of the Spectrum analyzer to the signal of interest, and measuring the difference between the peak spectral density of the signal (the flat part of the spectrum shown) and the noise density. To make this measurement:

Use a vertical scale of 1 or 2 dB/division.

Set the Resolution Bandwidth of the Spectrum Analyzer to < 20 % of the symbol rate.

Use video filtering and/or video averaging to reduce the variance in the displayed trace to a low enough level that the difference can be measured to within 0.2dB.

Place a marker on the flat part of the signal of interest, then use the MARKER DELTA function to put a second marker on the noise to the side of the carrier. This value is (Co+No)/No, in dB.

Use this value of (Co+No)/No in the table on the following page to determine the Eb/No. You will need to know the operating mode to read from the appropriate column.

If the (Co+No)/No value measured does not correspond to an exact table entry, interpolate using the two nearest values.

Note that the accuracy of this method degrades significantly at low values of (Co+No)/No (approximately less than 6 dB).

Example:

In the diagram above, the (Co+No)/No measured is 4.6 dB. If Rate 1/2 QPSK is being used, this would correspond to an Eb/No of approximately 2.6 dB.

The exact relationship used to derive the table values is as follows:

Eb/No = 10 log10 (10 (Co+No/No )/10) -1) - 10 log10 (FEC Code Rate) - 10 log10 (bits/symbol)

IMPORTANT

and:

Eb/No and (Co+No)/No are expressed in dB

Bits/symbol = 1 for BPSK

Bits/symbol = 2 for QPSK

Bits/symbol = 3 for 8-PSK

Bits/symbol = 4 for 16-QAM

Code Rate for ‘uncoded’ = 1

Pay close attention to the sign of the middle term

See Chapter 13 for details of how the Eb/No performance degrades when ESC++ is used, particularly at lower data rates, where the percentage overhead is high.

B–2

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