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E-raamat: Signal Transforms in Dynamic Measurements

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Signal Transforms in Dynamic MeasurementsSuurem pilt
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This book is devoted to the analysis of measurement signals which requires specific mathematical operations like Convolution, Deconvolution, Laplace, Fourier, Hilbert, Wavelet or Z transform which are all presented in the present book. The different problems refer to the modulation of signals, filtration of disturbance as well as to the orthogonal signals and their use in digital form for the measurement of current, voltage, power and frequency are also widely discussed. All the topics covered in this book are presented in detail and illustrated by means of examples in MathCad and LabVIEW.

This book provides a useful source for researchers, scientists and engineers who in their daily work are required to deal with problems of measurement and signal processing and can also be helpful to undergraduate students of electrical engineering.

Arvustused

A book containing a lot of topics concerning the connection between the dynamic measurements and some of signal transforms widely used in a variety of applications. the book represents an interesting contribution to know the recent methods used in Signal Processing for a large area of problems arising in applications. It will be of high interest for scientists working in Electronics, Electricity, Automation and related domains. (Dumitru Stanomir, zbMATH 1334.94002, 2016)

1 Classification and Parameters of Signals
1(20)
1.1 Characteristics of Deterministic Signals
1(2)
1.2 Characteristics of Random Signals
3(1)
1.3 Parameters of Signals
3(3)
1.4 Examples of Analog Signals with Limited Energy
6(4)
1.5 Examples of Analog Signals with Limited Power
10(2)
1.6 Examples of Distributive Signals
12(1)
1.7 Discrete Signals with Limited Energy
13(2)
1.8 Discrete Signals with Limited Power
15(1)
1.9 Examples of Analog Signals in MathCad
16(2)
1.10 Examples of Discrete Signals in MathCad
18(3)
2 Laplace Transform
21(22)
2.1 Initial and Final Value
22(1)
2.2 Surface and Moments
23(1)
2.3 Examples of Laplace Transforms
24(1)
2.4 Properties of Laplace Transform
25(1)
2.5 Laplace Transform in Solving Differential Equation
26(3)
2.6 Laplace Transform in Solving State Equation
29(5)
2.7 Simplification of Model Order
34(2)
2.8 Discretization of State Equation
36(3)
2.9 Example in MathCad
39(4)
3 Fourier Transform
43(38)
3.1 Continuous Fourier Transform
43(2)
3.2 Properties of Fourier Transform
45(1)
3.3 Example of Fourier Transforms
46(5)
3.4 Discrete Fourier Transform
51(4)
3.4.1 Fast Fourier Transform
52(3)
3.5 Short-time Fourier Transform
55(1)
3.6 Time Windows
56(1)
3.7 Properties of Time Windows
57(3)
3.8 Fourier Series
60(6)
3.9 Examples in MathCad
66(15)
4 Z Transform
81(16)
4.1 Properties of Z Transform
85(1)
4.2 Determination of Z Transform
86(3)
4.3 Changing Sampling Interval
89(1)
4.4 Inverse Z Transform
90(4)
4.5 Digital Filters
94(1)
4.6 Example in MathCad
95(2)
5 Wavelet Transform
97(10)
5.1 Continuous Wavelet Transform
97(1)
5.2 Wavelet Functions
98(2)
5.3 Discrete Wavelet Transform
100(3)
5.4 Discrete Wavelets
103(2)
5.5 Example of Three-Stage Wavelet Transform in Lab VIEW
105(2)
6 Hilbert Transform
107(10)
6.1 Examples of Hilbert Transform
110(3)
6.2 Examples in MathCad
113(4)
7 Orthogonal Signals
117(24)
7.1 Orthonormal Polynomials
121(3)
7.2 Digital Measurement of Electrical Quantities
124(4)
7.2.1 Measurement of Active Power
126(1)
7.2.2 Measurement of Reactive Power
127(1)
7.2.3 Digital Form of Current, Voltage, and Power
127(1)
7.3 Measurement of Frequency
128(1)
7.4 Examples in MathCad
129(5)
7.5 Examples in LabVIEW
134(7)
8 Modulations
141(28)
8.1 Analog Modulations (AM)
142(7)
8.1.1 Double-Sideband Large Carrier Modulation (DSBLC)
142(4)
8.1.2 Double Sideband with Suppressed Carrier Modulation (DSBSC)
146(1)
8.1.3 Single-Sideband (SSB)
147(1)
8.1.4 Single Sideband with Suppressed Carrier (SSBSC) Modulation
148(1)
8.1.5 Vestigial Sideband (VSB) Modulation
148(1)
8.2 Angle Modulations
149(2)
8.2.1 Phase Modulation (PM)
150(1)
8.2.2 Frequency Modulation (FM)
151(1)
8.3 Impulse Modulations
151(7)
8.3.1 Pulse Width Modulation (PWM)
151(1)
8.3.2 Pulse Amplitude Modulation (PAM)
152(1)
8.3.3 PAM with Ideal Sampling
153(1)
8.3.4 PAM with Real Sampling
153(2)
8.3.5 PAM with Instantaneous Sampling
155(1)
8.3.6 Pulse Duration Modulation (PDM)
156(1)
8.3.7 Pulse Position Modulation (PPM)
156(1)
8.3.8 Pulse Code Modulation (PCM)
156(2)
8.3.9 Differential Pulse Code Modulation (DPCM)
158(1)
8.4 Digital Modulations
158(5)
8.4.1 Modulation with Amplitude Shift Keying (ASK)
158(1)
8.4.2 Modulation with Frequency Shift Keying (FSK)
158(1)
8.4.3 Phase Shift Keying (PSK) Modulation
159(3)
8.4.4 Quadrature Amplitude Modulation (QAM)
162(1)
8.5 Examples in MathCad
163(6)
9 Convolution and Deconvolution
169(20)
9.1 Analog and Digital Convolution
169(1)
9.2 Properties of Convolution
170(6)
9.3 Continuous and Digital Deconvolution
176(2)
9.4 Deconvolution for Low-Pass System
178(1)
9.5 Conjugate Operator and Maximum Integral Square Criterion
179(3)
9.6 Examples in MathCad
182(7)
10 Reduction of Signal Disturbance
189(14)
10.1 Time Windows in Reduction of Disturbance
189(3)
10.2 Signal Reconstruction
192(1)
10.3 Kalman Filter
192(4)
10.4 Examples in MathCad
196(6)
10.5 Kalman Filter in LabVIEW
202(1)
Bibliography 203(4)
Index 207
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