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

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) 2004-2016-2023 　Shigeo Yamase JA7UHV