RF and Baseband Techniques for Software Defined Radio

90 Phase-Shift Networks

A.1 General Structure

The general structure of a passive broadband 90 splitter network, based upon an all-pass filter configuration, is shown in Figure A.1. Its transfer function is of the form:



Figure A.1: General structure of a passive broadband 90 splitter.

where the total network complexity of both the N and P networks is n. The values for for the N and P networks are tabulated in Tables A.1 to A.8. The values in these tables are normalised such that:


Table A.1: Pole-Zero Locations for a 90 Phase-Shift Network, Where ? u/ ? l = 1146

Filter Order, n

Phase Ripple (Degrees)

? N

? P

6

6.84

43.3862

8.3350

2.0264

0.4935

0.1200

0.0231

8

2.12

59.7833

14.4159

4.8947

1.6986

0.5887

0.2043

0.0694

0.0167

10

0.66

75.8845

20.4679

8.3350

3.5631

1.5279

0.6545

0.2807

0.1200

0.0489

0.0132

Table A.2: Pole-Zero Locations for a 90 Phase-Shift Network, Where ? u/ ? l = 573.0

Filter Order, n

Phase Ripple (Degrees)

? N

? P

6

4.99

34.3132

7.0607

1.9111

0.5233

0.1416

0.0291

8

1.39

47.0857

11.8249

4.3052

1.6253

0.6153

0.2323

0.0846

0.0212

10

0.39

59.6517

16.5238

7.0607

3.2112

1.4749

0.6780

0.3114

0.1416

0.0605

0.0168

Table A.3: Pole-Zero Locations for a 90 Phase-Shift Network, Where ? u/ ? l = 286.5

Filter Order, n

Phase Ripple (Degrees)

? N

? P

4

13.9

16.8937

2.4258

0.4122

0.0592

6

3.43

27.1337

5.9933

1.8043

0.5542

0.1669

0.0369

8

0.84

37.0697

9.7136

3.7944

1.5566

0.6424

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