About the Author |
|
ix | |
Preface |
|
xi | |
Acknowledgement |
|
xiii | |
|
1 Electrical Analysis -- Terminology and Theorems |
|
|
1 | (40) |
|
1.1 Transfer Functions, an Informal Approach |
|
|
1 | (10) |
|
1.1.1 Input and Output Ports |
|
|
3 | (3) |
|
1.1.2 Different Types of Transfer Function |
|
|
6 | (5) |
|
1.2 The Few Tools and Theorems You Did Not Forget |
|
|
11 | (14) |
|
1.2.1 The Voltage Divider |
|
|
11 | (1) |
|
1.2.2 The Current Divider |
|
|
12 | (2) |
|
1.2.3 Thevenin's Theorem at Work |
|
|
14 | (5) |
|
1.2.4 Norton's Theorem at Work |
|
|
19 | (6) |
|
1.3 What Should I Retain from this Chapter? |
|
|
25 | (16) |
|
1.4 Appendix 1A -- Finding Output Impedance/Resistance |
|
|
26 | (11) |
|
1.5 Appendix 1B -- Problems |
|
|
37 | (2) |
|
|
39 | (2) |
|
|
41 | (75) |
|
|
41 | (3) |
|
2.1.1 A Linear Time-invariant System |
|
|
43 | (1) |
|
2.1.2 The Need for Linearization |
|
|
43 | (1) |
|
|
44 | (5) |
|
2.2.1 Time Constant Involving an Inductor |
|
|
47 | (2) |
|
|
49 | (29) |
|
2.3.1 Low-entropy Expressions |
|
|
54 | (5) |
|
2.3.2 Higher Order Expressions |
|
|
59 | (1) |
|
2.3.3 Second-order Polynomial Forms |
|
|
60 | (2) |
|
2.3.4 Low-Q Approximation for a 2nd-order Polynomial |
|
|
62 | (6) |
|
2.3.5 Approximation for a 3rd-order Polynomial |
|
|
68 | (1) |
|
2.3.6 How to Determine the Order of the System? |
|
|
69 | (7) |
|
2.3.7 Zeros in the Network |
|
|
76 | (2) |
|
2.4 First Step Towards a Generalized 1st-order Transfer Function |
|
|
78 | (22) |
|
2.4.1 Solving 1st-order Circuits with Ease, Three Examples |
|
|
82 | (7) |
|
2.4.2 Obtaining the Zero with the Null Double Injection |
|
|
89 | (5) |
|
2.4.3 Checking Zeros Obtained in Null Double Injection with SPICE |
|
|
94 | (1) |
|
|
95 | (5) |
|
2.5 What Should I Retain from this Chapter? |
|
|
100 | (16) |
|
|
101 | (1) |
|
2.6 Appendix 2A -- Problems |
|
|
102 | (3) |
|
|
105 | (11) |
|
3 Superposition and the Extra Element Theorem |
|
|
116 | (103) |
|
3.1 The Superposition Theorem |
|
|
116 | (10) |
|
3.1.1 A Two-input/Two-output System |
|
|
120 | (6) |
|
3.2 The Extra Element Theorem |
|
|
126 | (27) |
|
3.2.1 The EET at Work on Simple Circuits |
|
|
130 | (2) |
|
3.2.2 The EET at Work -- Example 2 |
|
|
132 | (5) |
|
3.2.3 The EET at Work -- Example 3 |
|
|
137 | (1) |
|
3.2.4 The EET at Work -- Example 4 |
|
|
138 | (2) |
|
3.2.5 The EET at Work -- Example 5 |
|
|
140 | (6) |
|
3.2.6 The EET at Work -- Example 6 |
|
|
146 | (4) |
|
3.2.7 Inverted Pole and Zero Notation |
|
|
150 | (3) |
|
3.3 A Generalized Transfer Function for 1st-order Systems |
|
|
153 | (27) |
|
3.3.1 Generalized Transfer Function -- Example 1 |
|
|
156 | (3) |
|
3.3.2 Generalized Transfer Function -- Example 2 |
|
|
159 | (4) |
|
3.3.3 Generalized Transfer Function -- Example 3 |
|
|
163 | (7) |
|
3.3.4 Generalized Transfer Function -- Example 4 |
|
|
170 | (4) |
|
3.3.5 Generalized Transfer Function -- Example 5 |
|
|
174 | (6) |
|
|
180 | (1) |
|
3.5 What Should I Retain from this Chapter? |
|
|
180 | (39) |
|
|
182 | (1) |
|
3.6 Appendix 3A -- Problems |
|
|
183 | (2) |
|
|
185 | (33) |
|
|
218 | (1) |
|
4 Second-order Transfer Functions |
|
|
219 | (93) |
|
4.1 Applying the Extra Element Theorem Twice |
|
|
219 | (36) |
|
4.1.1 Low-entropy 2nd-order Expressions |
|
|
227 | (4) |
|
4.1.2 Determining the Zero Positions |
|
|
231 | (2) |
|
4.1.3 Rearranging and Plotting Expressions |
|
|
233 | (2) |
|
4.1.4 Example 1 -- A Low-Pass Filter |
|
|
235 | (6) |
|
4.1.5 Example 2 -- A Two-capacitor Filter |
|
|
241 | (4) |
|
4.1.6 Example 3 -- A Two-capacitor Band-stop Filter |
|
|
245 | (3) |
|
4.1.7 Example 4 -- An LC Notch Filter |
|
|
248 | (7) |
|
4.2 A Generalized Transfer Function for 2nd-Order Systems |
|
|
255 | (22) |
|
4.2.1 Inferring the Presence of Zeros in the Circuit |
|
|
256 | (1) |
|
4.2.2 Generalized 2nd -- order Transfer Function -- Example 1 |
|
|
257 | (5) |
|
4.2.3 Generalized 2nd--order Transfer Function -- Example 2 |
|
|
262 | (4) |
|
4.2.4 Generalized 2nd--order Transfer Function -- Example 3 |
|
|
266 | (7) |
|
4.2.5 Generalized 2nd--order Transfer Function -- Example 4 |
|
|
273 | (4) |
|
4.3 What Should I Retain from this Chapter? |
|
|
277 | (35) |
|
|
279 | (1) |
|
4.4 Appendix 4A -- Problems |
|
|
279 | (3) |
|
|
282 | (29) |
|
|
311 | (1) |
|
5 Nth-order Transfer Functions |
|
|
312 | (119) |
|
5.1 From the 2EET to the NEET |
|
|
312 | (23) |
|
5.1.1 3rd-order Transfer Function Example |
|
|
317 | (3) |
|
5.1.2 Transfer Functions with Zeros |
|
|
320 | (7) |
|
5.1.3 A Generalized Nth-order Transfer Function |
|
|
327 | (8) |
|
5.2 Five High-order Transfer Functions Examples |
|
|
335 | (48) |
|
5.2.1 Example 2: A 3rd-order Active Notch Circuit |
|
|
341 | (8) |
|
5.2.2 Example 3: A 4th-order LC Passive Filter |
|
|
349 | (6) |
|
5.2.3 Example 4: A 4th-order Band-pass Active Filter |
|
|
355 | (13) |
|
5.2.4 Example 5: A 3rd-order Low-pass Active GIC Filter |
|
|
368 | (15) |
|
5.3 What Should I Retain from this Chapter? |
|
|
383 | (48) |
|
|
385 | (1) |
|
5.5 Appendix 5A -- Problems |
|
|
385 | (3) |
|
|
388 | (43) |
References |
|
431 | (2) |
Conclusion |
|
433 | (2) |
Glossary of Terms |
|
435 | (4) |
Index |
|
439 | |