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


Shigeo Yamase, JA7UHV

Summary:
One of the sixteenth order PSN's has been optimized with a successive approximation method.

It has the following characteristics: the 16th order, 90 degrees plus or minus 0.010 degrees, and fh/fl = 650.782.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 0.010 degrees. The undesired sideband suppression ratio is -81.2 dB (-81.18 dB) at each of the frequencies having the maximum phase deviation of 0.010 degrees from the ideal 90 degrees between fh and fl.

The average suppression of the undesired sideband is -87.2 dB (-87.23 dB) over the bandwidth of modulating frequencies between fh and fl.


Table 1.

Nr Phase Deviation
from 90 degrees
Relative Frequency Example 1.
Frequency in Hz
1 -0.0100 degrees fl = 0.039199658493 fl*Fo = 19.5998
2 0.0000 0.040389462375 20.1947
3 +0.0100 0.044031100092 22.0155
4 0.0000 0.050345633857 25.1728
5 -0.0100 0.059716379881 29.8582
6 0.0000 0.072712173665 36.3560
7 +0.0100 0.090121892817 45.0610
8 0.0000 0.11300232841 56.5011
9 -0.0100 0.14274230101 71.3711
10 0.0000 0.18114689293 90.5734
11 +0.0100 0.23054686667 115.273
12 0.0000 0.29393982172 146.977
13 -0.0100 0.37517146967 187.586
14 0.0000 0.47916763781 239.584
15 +0.0100 0.61223026097 306.165
16 0.0000 0.78241360945 391.207
17 -0.0100 1.0000000000 F0 = 500.000
18 0.0000 1.2780963776 639.048
19 +0.0100 1.6333723825 816.686
20 0.0000 2.0869522921 1043.48
21 -0.0100 2.6654478840 1332.72
22 0.0000 3.4020569045 1701.03
23 +0.0100 4.3375128643 2168.76
24 0.0000 5.5203817402 2760.19
25 -0.0100 7.0056317778 3502.82
26 0.0000 8.8493751774 4424.69
27 +0.0100 11.096082969 5548.05
28 0.0000 13.752855259 6876.44
29 -0.0100 16.745824211 8372.92
30 0.0000 19.862695598 9931.35
31 +0.0100 22.711219976 11355.6
32 0.0000 24.758933177 12379.5
33 -0.0100 fh = 25.510426327 fh*F0 = 12755.2

Figure 1. Differential Phase-Shift Characteristics of the optimized network.
The graph has a twofold symmetry.
So the left half of the graph is exactly the same as the right half
with respect to the axis of symmetry,
as your right hand is the same as your left hand in a mirror.

Back @Return to Home @Next



Copyright (C) 2004 - 2016 @Shigeo Yamase JA7UHV

1