|
Bioengineering Signals and Systems |
|
|
1 | (30) |
|
|
1 | (2) |
|
|
3 | (6) |
|
|
6 | (3) |
|
Linear Signal Analysis: Overview |
|
|
9 | (14) |
|
Analysis of Linear Systems |
|
|
11 | (1) |
|
Analog Analysis and Analog Models |
|
|
11 | (4) |
|
Systems Analysis and Systems Models |
|
|
15 | (7) |
|
Systems and Analog Analysis: Summary |
|
|
22 | (1) |
|
|
23 | (4) |
|
|
24 | (3) |
|
|
27 | (1) |
|
|
27 | (4) |
|
|
29 | (2) |
|
|
31 | (38) |
|
Basic Signals: The Sinusoidal Waveform |
|
|
31 | (7) |
|
|
34 | (2) |
|
|
36 | (2) |
|
Signal Properties: Basic Measurements |
|
|
38 | (6) |
|
|
42 | (2) |
|
Advanced Measurements: Correlations and Covariances |
|
|
44 | (10) |
|
Standard Correlation and Covariance |
|
|
45 | (3) |
|
Autocorrelation and Cross-Correlation |
|
|
48 | (6) |
|
|
54 | (11) |
|
Mean, Variance, and Standard Deviation |
|
|
54 | (3) |
|
|
57 | (1) |
|
Covariance and Correlation |
|
|
58 | (3) |
|
Autocorrelation and Cross-Correlation |
|
|
61 | (4) |
|
|
65 | (4) |
|
|
66 | (3) |
|
Frequency Transformations |
|
|
69 | (52) |
|
Useful Properties of the Sinusoidal Signal |
|
|
72 | (3) |
|
|
75 | (5) |
|
|
79 | (1) |
|
|
80 | (2) |
|
|
82 | (3) |
|
The Continuous Fourier Transform |
|
|
85 | (2) |
|
Discrete Data: The Discrete Fourier Transform |
|
|
87 | (10) |
|
Data Sampling: Sampling Theorem |
|
|
88 | (5) |
|
Amplitude Slicing: Quantization (Optional) |
|
|
93 | (2) |
|
|
95 | (2) |
|
|
97 | (4) |
|
|
99 | (2) |
|
|
101 | (1) |
|
|
102 | (13) |
|
|
115 | (6) |
|
|
116 | (5) |
|
Circuit and Analog Analysis in Sinusoidal Steady State |
|
|
121 | (40) |
|
Circuits and Analog Systems |
|
|
121 | (2) |
|
System Variables and Elements |
|
|
123 | (16) |
|
|
125 | (2) |
|
|
127 | (8) |
|
|
135 | (2) |
|
|
137 | (2) |
|
|
139 | (8) |
|
Phasor Representation: Electrical Elements |
|
|
144 | (3) |
|
|
147 | (10) |
|
|
148 | (3) |
|
|
151 | (2) |
|
|
153 | (4) |
|
|
157 | (4) |
|
|
158 | (3) |
|
Analysis of Analog Models and Processes |
|
|
161 | (32) |
|
Conservation Laws: Kirchhoff's Voltage Law |
|
|
161 | (12) |
|
Mesh Analysis: Single Loops |
|
|
162 | (6) |
|
Mesh Analysis: Multiple Loops |
|
|
168 | (3) |
|
Mesh Analysis: Matlab Implementation |
|
|
171 | (2) |
|
Conservation Laws: Kirchhoff's Current Law---Nodal Analysis |
|
|
173 | (5) |
|
Conservation Laws: Newton's Law---Mechanical Systems |
|
|
178 | (8) |
|
|
186 | (7) |
|
|
187 | (6) |
|
Frequency Characteristics of Circuits and Analog Processes: The Transfer Function |
|
|
193 | (46) |
|
The Circuit or Mechanical System as a Process |
|
|
193 | (5) |
|
|
195 | (1) |
|
|
196 | (1) |
|
Transfer Function Characteristics |
|
|
197 | (1) |
|
Transfer Function Frequency Plots: The Bode Plot |
|
|
198 | (15) |
|
Frequency Characteristics of Bode Plot Primitives |
|
|
201 | (12) |
|
|
213 | (8) |
|
|
214 | (1) |
|
|
215 | (1) |
|
|
216 | (1) |
|
|
217 | (1) |
|
Evaluating Filter Frequency Characteristics |
|
|
217 | (2) |
|
|
219 | (2) |
|
|
221 | (13) |
|
|
221 | (6) |
|
|
227 | (3) |
|
The Transfer Function and Fourier Series Decomposition |
|
|
230 | (4) |
|
|
234 | (5) |
|
|
234 | (5) |
|
Relationships Between Analog Elements |
|
|
239 | (50) |
|
System Simplifications: Passive Network Reduction |
|
|
239 | (13) |
|
Series Electrical Elements |
|
|
240 | (2) |
|
|
242 | (2) |
|
Network Reduction: Passive Networks |
|
|
244 | (8) |
|
|
252 | (12) |
|
The Voltage--Current or v-i Plot |
|
|
252 | (3) |
|
Real Voltage Sources: The Thevenin Source |
|
|
255 | (3) |
|
Real Current Sources: The Norton Source |
|
|
258 | (3) |
|
Thevenin and Norton Circuit Conversion |
|
|
261 | (3) |
|
Thevenin and Norton Theorems: Network Reduction with Sources |
|
|
264 | (5) |
|
|
269 | (6) |
|
Ideal and Real Measurement Devices |
|
|
270 | (3) |
|
|
273 | (2) |
|
|
275 | (6) |
|
Multiple Sources: Revisited |
|
|
281 | (2) |
|
|
283 | (6) |
|
|
283 | (6) |
|
The Analysis of Transients: The Laplace Transform |
|
|
289 | (46) |
|
|
289 | (11) |
|
Definition of the Laplace Transform |
|
|
290 | (2) |
|
Laplace Representation of Elements: Calculus Operations in the Laplace Domain |
|
|
292 | (1) |
|
|
293 | (1) |
|
Voltage--Current and Force--Velocity Relationships in the Laplace Domain |
|
|
294 | (2) |
|
Sources: Common Signals in the Laplace Domain |
|
|
296 | (2) |
|
Converting the Laplace Transform to the Frequency Domain |
|
|
298 | (1) |
|
|
299 | (1) |
|
The Inverse Laplace Transform |
|
|
300 | (1) |
|
Laplace Analysis: The Laplace Transfer Function |
|
|
300 | (16) |
|
|
302 | (4) |
|
|
306 | (10) |
|
Nonzero Initial Conditions |
|
|
316 | (4) |
|
Initial and Final Value Theorems |
|
|
320 | (1) |
|
The Laplace Domain and the Frequency Domain |
|
|
321 | (9) |
|
|
330 | (5) |
|
|
330 | (5) |
|
System Models and Behavior |
|
|
335 | (36) |
|
|
335 | (5) |
|
|
337 | (3) |
|
|
340 | (14) |
|
|
343 | (11) |
|
|
354 | (11) |
|
|
355 | (1) |
|
|
355 | (10) |
|
|
365 | (6) |
|
|
367 | (4) |
|
Basic Analog Electronics: Operational Amplifiers |
|
|
371 | (44) |
|
|
372 | (2) |
|
The Operational Amplifier |
|
|
374 | (2) |
|
The Noninverting Amplifier |
|
|
376 | (3) |
|
|
379 | (2) |
|
Practical Operational Amplifiers |
|
|
381 | (17) |
|
Limitations in Transfer Characteristics of Real Operational Amplifiers |
|
|
382 | (7) |
|
|
389 | (7) |
|
|
396 | (2) |
|
|
398 | (1) |
|
Operational Amplifier Circuits, or 101 Things to Do with an Operational Amplifier |
|
|
399 | (12) |
|
The Differential Amplifier |
|
|
400 | (1) |
|
|
401 | (1) |
|
|
402 | (1) |
|
The Transconductance Amplifier |
|
|
403 | (2) |
|
|
405 | (2) |
|
Instrumentation Amplifier |
|
|
407 | (4) |
|
|
411 | (4) |
|
|
411 | (4) |
|
|
415 | (6) |
|
Derivation of Euler's Formula |
|
|
415 | (1) |
|
Confirmation of the Fourier Series |
|
|
416 | (1) |
|
Derivation of the Transfer Function of a Second-Order Op Amp Filter |
|
|
417 | (1) |
|
Derivation of the Transfer Function of an Instrumentation Amplifier |
|
|
418 | (3) |
|
APPENDIX B Laplace Transforms |
|
|
421 | (2) |
|
APPENDIX C Trigonometric and Other Formulas |
|
|
423 | (2) |
|
|
425 | (4) |
|
APPENDIX E Complex Arithmetic |
|
|
429 | (4) |
|
|
430 | (1) |
|
Multiplication and Division |
|
|
430 | (3) |
|
APPENDIX F LF 356 Specifications |
|
|
433 | (2) |
|
APPENDIX G Determinants and Cramer's Rule |
|
|
435 | (2) |
Bibliography |
|
437 | (2) |
Index |
|
439 | |