An Optimum Design of PSN for SSB Signals Generation and Reception II


Shigeo Yamase, JA7UHV


Summary:
One of the twelfth order PSN (Phase Shift Network)'s has been optimized with a sequential approximation method.

It has the following characteristics: the 12th order, 90 degrees plus or minus 0.100 degrees, and fh/fl = 527.118. The fh/fl is a frequency ratio of the highest to the lowest over which differential phase shift of the psn is maintained within 90 degrees plus or minus 0.100 degrees. The undesired sideband suppression ratio is -61.2 dB at each of the frequencies having the maximum phase deviation of 0.100 degrees from the ideal 90 degrees between fh and fl.

The average suppression of the undesired sideband is -67.3 dB over the bandwidth of modulating frequencies between fh and fl..


Table 1

Nr Phase Deviation
from 90 degrees
Normalized Frequency Example 1
Frequency in Hz
1 -0.100 degrees fl = 0.043555812405936 Fl = fl*F0 = 17.41
2 0.000 0.045789462906 18.31
3 +0.100 0.052719504888 21.09
4 0.000 0.065056702283 26.03
5 -0.100 0.084066375256 33.63
6 0.000 0.11169813190 44.68
7 +0.100 0.15078570929 60.31
8 0.000 0.20533730135 82.14
9 -0.100 0.28094584017 112.4
10 0.000 0.38536050228 154.1
11 +0.100 0.52927595119 211.7
12 0.000 0.72741478840 291.0
13 -0.100 1.0000000000 F0 = 400.0
14 0.000 1.3747314681 549.9
15 +0.100 1.8893735824 755.8
16 0.000 2.5949727439 1038
17 -0.100 3.5594048996 1424
18 0.000 4.8700357578 1948
19 +0.100 6.6319282158 2653
20 0.000 8.9527012045 3581
21 -0.100 11.895362408 4758
22 0.000 15.371206423 6147
23 +0.100 18.968311674 7588
24 0.000 21.839085601 8738
25 -0.100 fh = 22.9590482822 Fh = fh*F0 = 9186
Note: An asterisk * is a multiplier operator, such as 23.1*5.0 = 115.5.


Figure 1. Differential Phase-Shift Characteristics of the network
The graph has a twofold symmetry.



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Copyright (C) 2004 - 2016 @Shigeo Yamase JA7UHV

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