Signal processing and data analysis:
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| Main Authors: | , |
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| Format: | Book |
| Language: | English |
| Published: |
Berlin
De Gruyter
[2018]
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| Series: | De Gruyter STEM
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| Subjects: | |
| Online Access: | http://www.degruyter.com/search?f_0=isbnissn&q_0=9783110461589&searchTitles=true Inhaltsverzeichnis |
| Physical Description: | XVI, 586 Seiten Illustrationen, Diagramme 24 cm x 17 cm |
| ISBN: | 9783110461589 3110461587 |
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MARC
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| 264 | 4 | |c © 2018 | |
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| adam_text | CONTENTS
PREFACE* V
1 BASIC CONCEPTS AND PRINCIPLES OF SIGNALS AND SYSTEMS * 1
1.1 INTRODUCTION * 1
1.2 BASIC CONCEPTS OF SIGNALS AND SYSTEMS * 1
1.2.1 BASIC CONCEPT OF SIGNALS * 1
1.2.2 THE CLASSIFICATION OF SIGNALS * 3
1.2.3 CLASSICAL SIGNALS AND THEIR PROPERTIES * 5
1.2.4 THE OPERATION OF SIGNALS * 15
1.2.5 THE BASIC CONCEPT OF SYSTEMS * 18
1.2.6 CLASSIFICATION OF SYSTEMS AND THEIR PROPERTIES * 19
1.2.7 BASIC ANALYSIS METHODS FOR SYSTEMS * 22
1.3 TIME DOMAIN ANALYSIS OF LTI SYSTEM AND CONVOLUTION * 23
1.3.1 THE BASIC CONCEPT ON LTI SYSTEM * 23
1.3.2 THE TIME DOMAIN ANALYSIS FOR CONTINUOUS-TIME LTI SYSTEMS * 23
1.3.3 CONVOLUTION OF CONTINUOUS-TIME LTI SYSTEMS * 24
1.3.4 THE TIME DOMAIN ANALYSIS FOR DISCRETE-TIME LTI SYSTEMS * 27
1.3.5 CONVOLUTION OF DISCRETE-TIME LTI SYSTEMS * 28
1.4 BASIC PROPERTIES OF LTI SYSTEMS * 31
1.4.1 SYSTEM WITH AND WITHOUT MEMORY * 31
1.4.2 INVERTIBILITY AND INVERSE SYSTEMS * 31
1.4.3 CAUSALITY AND CAUSAL SYSTEMS * 32
1.4.4 STABILITY AND STABLE SYSTEMS * 32
EXERCISES * 33
2 FOURIER THEORY AND FREQUENCY ANALYSIS OF SIGNALS AND SYSTEMS
* 35
2.1 INTRODUCTION * 35
2.1.1 FREQUENCY ANALYSIS OF SIGNALS AND SYSTEMS AND A SUMMARY ON
FOURIER THEORY * 35
2.1.2 THE DEVELOPMENT OF FOURIER THEORY * 35
2.1.3 CLASSIFICATION OF FS AND FT * 36
2.2 FS REPRESENTATION OF CONTINUOUS-TIME PERIODIC SIGNALS * 37
2.2.1 CONTINUOUS-TIME PERIODIC SIGNAL AND ITS FS REPRESENTATION * 37
2.2.2 PROPERTIES OF FS * 41
2.2.3 OTHER FORMS OF FS * 42
2.3 FS REPRESENTATION OF DISCRETE-TIME PERIODIC SIGNALS * 44
2.3.1 DISCRETE-TIME PERIODIC SIGNALS AND FS * 44
2.3.2 PROPERTIES OF DFS * 46
2.4 FT OF CONTINUOUS-TIME SIGNALS * 46
2.4.1 FROM FS TO FT
----
46
2.4.2 FT OF CONTINUOUS-TIME SIGNALS * 49
2.4.3 PROPERTIES OF FT AND BASIC FT PAIRS * 53
2.5 DISCRETE-TIME FOURIER TRANSFORM * 56
2.5.1 DISCRETE-TIME FOURIER TRANSFORM * 56
2.5.2 PROPERTIES OF DTFT AND BASIC DTFT PAIRS * 59
2.5.3 THE DUALITY IN FS AND FT
----
59
2.6 FREQUENCY DOMAIN ANALYSIS OF SIGNALS AND SYSTEMS * 64
2.6.1 THE SPECTRAL REPRESENTATION OF SIGNALS * 64
2.6.2 THE FREQUENCY ANALYSIS OF LINEAR TIME-INVARIANT SYSTEMS * 66
2.6.3 BODE PLOTS
----
72
2.6.4 CONDITIONS FOR DISTORTIONLESS TRANSMISSION AND PHYSICAL
REALIZATION OF SYSTEMS * 73
EXERCISES * 76
3 THE COMPLEX FREQUENCY DOMAIN ANALYSIS OF SIGNALS AND SYSTEMS WITH
LAPLACE TRANSFORM AND Z-TRANSFORM * 80
3.1 INTRODUCTION * 80
3.2 THE LAPLACE TRANSFORM * 81
3.2.1 THE DEFINITION OF THE LAPLACE TRANSFORM * 81
3.2.2 PROPERTIES OF THE ROC FOR THE LAPLACE TRANSFORM * 83
3.2.3 THE INVERSE LAPLACE TRANSFORM * 84
3.2.4 PROPERTIES OF THE LAPLACE TRANSFORM AND BASIC LAPLACE TRANSFORM
PAIRS * 87
3.3 THE ANALYSIS OF CONTINUOUS-TIME SIGNALS AND SYSTEMS IN COMPLEX
FREQUENCY DOMAIN * 88
3.3.1 THE LAPLACE TRANSFORM OF DIFFERENTIAL EQUATIONS AND SYSTEM
FUNCTIONS * 89
3.3.2 CAUSALITY AND STABILITY ANALYSIS OF LTI SYSTEMS * 91
3.3.3 UNILATERAL LAPLACE TRANSFORM AND ITS APPLICATIONS * 92
3.4 THE Z-TRANSFORM * 95
3.4.1 THE DEFINITION OF THE Z-TRANSFORM * 95
3.4.2 THE PROPERTIES OF ROC FOR THE Z-TRANSFORM * 98
3.4.3 THE INVERSE Z-TRANSFORM * 99
3.4.4 PROPERTIES OF THE Z-TRANSFORM AND BASIC Z-TRANSFORM PAIRS * 102
3.5 THE ANALYSIS OF DISCRETE-TIME SIGNALS AND SYSTEMS IN COMPLEX
FREQUENCY DOMAIN * 103
3.5.1 THE Z-TRANSFORM OF DIFFERENCE EQUATIONS AND SYSTEM FUNCTIONS * 104
3.5.2 CAUSALITY AND STABILITY ANALYSIS OF LTI SYSTEMS * 106
3.5.3 THE BLOCK DIAGRAM REPRESENTATION FOR DISCRETE-TIME SYSTEMS * 107
3.5.4 UNILATERAL Z-TRANSFORM AND ITS APPLICATIONS * 110
EXERCISES * 112
4 DISCRETIZATION OF CONTINUOUS-TIME SIGNALS AND RECONSTRUCTION OF
DISCRETE-TIME SIGNALS * 115
4.1 INTRODUCTION * 115
4.2 SAMPLING AND THE SAMPLING THEOREM FOR CONTINUOUS-TIME
SIGNALS
----
116
4.2.1 IDEAL SAMPLING BASED ON THE UNIT IMPULSE TRAIN AND THE SAMPLING
THEOREM * 116
4.2.2 SAMPLING WITH A ZERO-ORDER HOLD FOR CONTINUOUS-TIME SIGNALS * 121
4.3 THE INTERPOLATION AND FITTING FOR DISCRETE-TIME SIGNALS * 123
4.3.1 THE INTERPOLATION FOR DISCRETE-TIME SIGNALS * 123
4.3.2 THE FITTING FOR DISCRETE-TIME SIGNALS * 128
4.3.3 ERROR ANALYSIS OF INTERPOLATION AND FITTING * 131
EXERCISES
----
133
5 DISCRETE FOURIER TRANSFORM AND FAST FOURIER TRANSFORM * 135
5.1 INTRODUCTION * 135
5.2 DISCRETE FOURIER TRANSFORM (DFT) * 135
5.2.1 A BRIEF REVIEW OF FOURIER ANALYSIS * 135
5.2.2 FROM DISCRETE FOURIER SERIES TO DISCRETE FOURIER TRANSFORM * 137
5.2.3 PROPERTIES OF THE DISCRETE FOURIER TRANSFORM * 141
5.3 SOME TOPICS IN THE THEORY OF DFT * 147
5.3.1 FREQUENCY ALIASING * 147
5.3.2 SPECTRUM LEAKAGE * 148
5.3.3 FENCE EFFECT
----
150
5.3.4 FREQUENCY RESOLUTION AND PARAMETER SELECTION IN DFT * 150
5.3.5 ZERO-PADDING
----
154
5.3.6 TIME WIDTH AND BANDWIDTH * 155
5.4 A BRIEF INTRODUCTION TO THE TWO-DIMENSIONAL FOURIER TRANSFORM * 157
5.4.1 COMMONLY USED TWO-DIMENSIONAL DISCRETE SEQUENCES * 157
5.4.2 THE DEFINITIONS OF TWO-DIMENSIONAL Z-TRANSFORM AND DISCRETE-
TIME FOURIER TRANSFORM * 158
5.4.3 PROPERTIES OF TWO-DIMENSIONAL DISCRETE-TIME FOURIER
TRANSFORM * 159
5.4.4 TWO-DIMENSIONAL DISCRETE FOURIER TRANSFORM * 160
5.4.5 APPLICATIONS OF TWO-DIMENSIONAL DISCRETE FOURIER TRANSFORM * 161
5.5 THE FAST FOURIER TRANSFORM (FFT) * 163
5.5.1 THE APPEARANCE OF FFT * 163
5.5.2 PROBLEMS FOR CALCULATING DFT DIRECTLY AND POSSIBLE
IMPROVEMENT * 163
5.5.3 DECIMATION-IN-TIME RADIX-2 FFT ALGORITHM
----
165
5.5.4 DECIMATION-IN-FREQUENCY RADIX-2 FFT ALGORITHM * 171
5.5.5 CHIRP Z-TRANSFORM (CZT) * 174
5.6 APPLICATIONS OF FFT
-----
178
5.6.1 CALCULATING THE LINEAR CONVOLUTION BASED ON FFT * 178
5.6.2 CALCULATING THE LINEAR CORRELATION BASED ON FFT* 181
EXERCISES * 182
6 DIGITAL FILTER AND DIGITAL FILTER DESIGN * 184
6.1 INTRODUCTION * 184
6.1.1 CLASSIFICATION OF DIGITAL FILTERS * 184
6.1.2 DESIGN OF DIGITAL FILTERS
----
185
6.2 STRUCTURE OF DIGITAL FILTERS * 186
6.2.1 REPRESENTATION WITH DIFFERENCE EQUATIONS * 186
6.2.2 REPRESENTATION WITH SYSTEM FUNCTIONS * 187
6.2.3 REPRESENTATION WITH SYSTEM BLOCK DIAGRAMS AND SIGNAL FLOW
GRAPHS * 187
6.3 HR DIGITAL FILTER
----
188
6.3.1 THE STRUCTURE OF DIRECT FORM I * 189
6.3.2 THE STRUCTURE OF DIRECT FORM II * 189
6.3.3 CASCADE STRUCTURE * 190
6.3.4 PARALLEL STRUCTURE * 191
6.4 FIR DIGITAL FILTER
----
192
6.4.1 TRANSVERSE STRUCTURE * 193
6.4.2 CASCADE STRUCTURE * 193
6.4.3 FREQUENCY SAMPLING STRUCTURE * 194
6.4.4 FAST CONVOLUTION STRUCTURE * 196
6.4.5 THE LINEAR PHASE FIR DIGITAL FILTER AND THE MINIMUM PHASE
STRUCTURE * 197
6.5 LATTICE STRUCTURE OF DIGITAL FILTERS * 200
6.5.1 ALL-ZERO LATTICE FIR SYSTEMS * 200
6.5.2 ALL-POLE LATTICE HR SYSTEMS * 203
6.5.3 POLE-ZERO LATTICE HR SYSTEMS * 204
6.6 HR DIGITAL FILTER DESIGN * 205
6.6.1 TECHNICAL REQUIREMENT OF FILTERS AND DESIGN BRIEF FOR ANALOG
FILTERS * 205
6.6.2 DIGITAL FILTER DESIGN BASED ON THE ANALOG FILTER * 209
6.6.3 DIGITAL FILTER DESIGN BY THE IMPULSE INVARIANCE PROCEDURE * 209
6.6.4 DIGITAL FILTER DESIGN BY THE BILINEAR TRANSFORM * 213
6.6.5 THE DESIGN IDEA FOR HIGH-PASS, BAND-PASS, AND BAND-STOP DIGITAL
FILTERS * 216
6.6.6 HR DIGITAL FILTER DESIGN WITH MATLAB PROGRAMMING * 217
6.7 FIR DIGITAL FILTER DESIGN * 219
6.7.1 FIR DIGITAL FILTER DESIGN BY WINDOWING * 219
6.7.2 THE CONCEPT OF WINDOW FUNCTION AND SOME COMMONLY USED
WINDOWS
----
223
6.7.3 FIR DIGITAL FILTER DESIGN WITH THE FREQUENCY SAMPLING METHOD * 224
6.7.4 SOME SIMPLE DIGITAL FILTERS * 229
EXERCISES * 233
7 FINITE-PRECISION NUMERICAL EFFECTS IN DIGITAL SIGNAL PROCESSING
* 236
7.1 INTRODUCTION * 236
7.2 QUANTIZATION EFFECTS IN ANALOG-TO-DIGITAL (A/D) CONVERSION * 236
7.2.1 THE BASIC CONCEPT AND THE PRINCIPLE OF A/D CONVERSION * 236
7.2.2 QUANTIZATION EFFECTS IN A/D CONVERSION AND ERROR ANALYSIS * 237
7.3 QUANTIZATION EFFECTS OF DIGITAL FILTERS * 239
7.3.1 COEFFICIENT QUANTIZATION EFFECTS OF HR DIGITAL FILTER COEFFICIENTS
* 239
7.3.2 COEFFICIENT QUANTIZATION EFFECTS OF FIR DIGITAL FILTER
COEFFICIENTS * 242
7.4 QUANTIZATION EFFECTS IN THE OPERATION OF DIGITAL FILTERS * 243
7.4.1 THE LIMIT CYCLE OSCILLATION IN HR DIGITAL FILTERS * 243
7.4.2 FINITE WORD-LENGTH EFFECTS IN MULTIPLICATION OPERATION OF HR
DIGITAL
FILTERS * 244
7.4.3 FINITE WORD-LENGTH EFFECTS IN MULTIPLICATION OPERATION OF FIR
DIGITAL
FILTERS
----
245
7.5 FINITE WORD-LENGTH EFFECTS IN DISCRETE FOURIER TRANSFORM * 245
EXERCISES * 247
8 DATA ERROR ANALYSIS AND SIGNAL PREPROCESSING
* 249
8.1 INTRODUCTION
----
249
8.2 THE BASIC CONCEPT AND THE PRINCIPLE OF ERRORS * 249
8.2.1 THE BASIC CONCEPT OF ERRORS * 249
8.2.2 STOCHASTIC ERROR
----
250
8.2.3 SYSTEMATIC ERROR * 252
8.2.4 GROSS ERROR * 253
8.2.5 COMBINATION OF ERRORS * 254
8.2.6 DISTRIBUTION OF ERRORS * 255
8.3 THE ASSESSMENT AND ESTIMATION OF MEASUREMENT UNCERTAINTY * 257
8.3.1 THE BASIC CONCEPT OF MEASUREMENT UNCERTAINTY * 257
8.3.2 THE ASSESSMENT OF STANDARD UNCERTAINTY * 258
8.3.3 THE COMBINATION OF MEASUREMENT UNCERTAINTY * 259
8.4 THE LEAST SQUARES (LS) METHOD FOR DATA PROCESSING * 259
8.4.1 THE PRINCIPLE OF THE LEAST SQUARES METHOD * 260
8.4.2 NORMAL EQUATION: THE BASIC METHOD OF THE LS PROCESSING * 263
8.4.3 THE ESTIMATION ACCURACY OF THE LS PROCESSING * 267
8.4.4 THE LS PROCESSING FOR THE COMBINED MEASUREMENT * 269
8.5 THE REGRESSION ANALYSIS * 270
8.5.1 UNIVARIATE LINEAR REGRESSION * 271
8.5.2 UNIVARIATE NONLINEAR REGRESSION * 273
8.5.3 MULTIPLE LINEAR REGRESSION * 275
8.6 REMOVAL OF TRENDS AND OUTLIERS IN SIGNALS * 277
8.6.1 REMOVAL OF TRENDS IN SIGNALS * 277
8.6.2 RECOGNITION AND PROCESSING OF OUTLINES IN SIGNALS * 279
8.7 DATA PROCESSING EXAMPLES OF TEMPERATURE MEASUREMENTS * 282
8.7.1 TEMPERATURE AND ITS MEASUREMENT * 282
8.7.2 AN ENGINEERING EXAMPLE OF TEMPERATURE MEASUREMENT WITH
PLATINUM RESISTANCE * 282
8.7.3 DATA ANALYSIS AND PROCESSING OF THE TEMPERATURE
MEASUREMENT * 283
EXERCISES * 284
9 FUNDAMENTALS OF RANDOM SIGNAL PROCESSING
* 286
9.1 I NTROD UCTION * 286
9.2 THE CONCEPT OF RANDOM VARIABLE AND ITS PROPERTIES * 286
9.2.1 THE CONCEPT OF RANDOM VARIABLE * 286
9.2.2 THE DISTRIBUTION OF RANDOM VARIABLES * 287
9.2.3 NUMERICAL CHARACTERISTICS OF RANDOM VARIABLES * 290
9.2.4 CHARACTERISTIC FUNCTIONS OF RANDOM VARIABLES * 293
9.3 RANDOM PROCESSES AND RANDOM SIGNALS * 294
9.3.1 THE STATISTICAL DISTRIBUTION OF RANDOM PROCESSES AND RANDOM
SIGNALS * 294
9.3.2 THE STATIONARY RANDOM PROCESS * 297
9.3.3 ERGODICITY
----
298
9.3.4 POWER SPECTRAL DENSITY OF RANDOM SIGNALS * 299
9.3.5 NONSTATIONARY RANDOM SIGNALS * 300
9.4 COMMONLY USED RANDOM SIGNALS AND RANDOM NOISES * 301
9.4.1 GAUSSIAN (NORMAL) DISTRIBUTED RANDOM SIGNALS * 301
9.4.2 WHITE NOISE AND BAND-LIMITED WHITE NOISE * 302
9.4.3 THE GAUSS-MARKOV PROCESS * 303
9.4.4 OTHER COMMON NOISES * 304
9.4.5 THE GENERATION OF RANDOM SIGNALS AND NOISES * 305
9.5 LINEAR SYSTEMS WITH RANDOM INPUTS * 307
9.5.1 THE OUTPUT OF THE LINEAR SYSTEM AND ITS PROBABILITY
DISTRIBUTION * 307
9.5.2 NUMERICAL CHARACTERISTICS OF THE LINEAR SYSTEM * 307
9.5.3 EQUIVALENT NOISE BANDWIDTH OF SYSTEM AND BANDWIDTH OF RANDOM
SIGNAL * 310
9.6 CLASSICAL ANALYSIS OF RANDOM SIGNALS * 311
9.6.1 THE PDF OF COMMON RANDOM SIGNALS * 311
9.6.2 THE CALCULATION OF THE NUMERICAL CHARACTERISTICS FOR RANDOM
SIGNALS * 314
9.7 ANALYSIS FOR RANDOM SIGNALS WITH MODERN PARAMETER MODELS * 315
9.7.1 WOLD DECOMPOSITION THEOREM FOR RANDOM SIGNALS * 315
9.7.2 LINEAR PARAMETER MODELS FOR STATIONARY RANDOM SIGNALS * 316
9.7.3 THE ESTIMATION OF AR PARAMETERS * 317
9.7.4 THE ORDER DETERMINATION OF THE AR MODEL * 321
EXERCISES * 322
10 CORRELATION ESTIMATION AND POWER SPECTRAL DENSITY (PSD) ESTIMATION OF
RANDOM SIGNALS * 325
10.1 INTRODUCTION
----
325
10.1.1 BASIC TASKS OF PARAMETER ESTIMATION * 325
10.1.2 EVALUATION CRITERIA OF PARAMETER ESTIMATION * 326
10.2 CORRELATION FUNCTIONS AND POWER SPECTRAL DENSITY FUNCTIONS * 327
10.2.1 CORRELATION FUNCTIONS * 327
10.2.2 POWER SPECTRAL DENSITY FUNCTIONS * 330
10.3 ESTIMATION FOR CORRELATION SEQUENCES * 330
10.3.1 UNBIASED ESTIMATION FOR AUTOCORRELATION SEQUENCES * 330
10.3.2 BIASED ESTIMATION FOR AUTOCORRELATION SEQUENCES * 332
10.3.3 FAST ESTIMATION FOR AUTOCORRELATION SEQUENCES * 334
10.4 CLASSICAL METHODS FOR PSD ESTIMATION * 335
10.4.1 THE GENERAL DEVELOPMENT OF PSD ESTIMATION * 335
10.4.2 THE PERIODOGRAM METHOD * 337
10.4.3 THE PERFORMANCE OF PERIODOGRAM FOR PSD ESTIMATION * 340
10.4.4 METHODS FOR IMPROVING THE PERFORMANCE OF PERIODOGRAM * 343
10.5 MODERN METHODS FOR PSD ESTIMATION * 347
10.5.1 DRAWBACKS OF CLASSICAL PSD ESTIMATION METHODS * 347
10.5.2 THE PSD ESTIMATION WITH AR MODEL * 348
10.5.3 THE PSD ESTIMATION WITH MAXIMUM ENTROPY METHOD * 351
10.5.4 THE PSD ESTIMATION WITH MA AND ARMA MODELS * 355
10.5.5 THE PSD ESTIMATION WITH MINIMUM VARIANCE METHOD * 356
10.5.6 PISARENKO HARMONIC DECOMPOSITION * 358
10.5.7 THE PSD ESTIMATION BASED ON THE MATRIX EIGENVECTOR
DECOMPOSITION * 359
10.5.8 A COMPARISON OF VARIOUS PSD ESTIMATION METHODS * 363
10.6 THE CEPSTRUM ANALYSIS OF SIGNALS * 365
10.6.1 THE CONCEPT OF THE CEPSTRUM * 365
10.6.2 HOMOMORPHIC FILTERING AND APPLICATIONS OF THE CEPSTRUM * 366
10.7 APPLICATIONS OF PSD ESTIMATION AND ANALYSIS * 370
10.7.1 EXAMPLES OF PSD ESTIMATION IN SIGNAL ANALYSIS * 370
10.7.2 EXAMPLES OF PSD ESTIMATION IN MEDICAL AUXILIARY DIAGNOSIS * 372
EXERCISES * 374
11 THE OPTIMAL FILTERING FOR RANDOM SIGNALS * 377
11.1 INTRODUCTION * 377
11.1.1 THE CLASSICAL FILTER AND THE STATISTICAL OPTIMAL FILTER * 377
11.1.2 TWO IMPORTANT STATISTICAL OPTIMAL FILTERS * 377
11.2 THE PRINCIPLE OF WIENER FILTER * 379
11.2.1 CAUSAL WIENER FILTER * 379
11.2.2 THE SOLUTION OF THE WIENER-HOPF EQUATION * 381
11.3 WIENER PREDICTOR * 390
11.3.1 CAUSAL WIENER PREDICTOR * 390
11.3.2 /V-STEP PURE PREDICTOR * 392
11.3.3 ONE-STEP LINEAR WIENER PREDICTOR
----
393
11.4 A BRIEF INTRODUCTION TO KALMAN FILTER * 394
11.4.1 THE PRINCIPLE OF KALMAN FILTER * 394
11.4.2 THE ANALYSIS OF KALMAN FILTER * 397
11.4.3 THE CALCULATION OF KALMAN FILTER * 398
EXERCISES * 401
12
12.1
12.2
12.2.1
12.2.2
12.3
12.3.1
12.3.2
12.3.3
12.3.4
12.4
12.4.1
12.4.2
12.4.3
12.5
12.5.1
12.5.2
12.5.3
ADAPTIVE FILTERING * 404
INTRODUCTION * 404
STRUCTURE OF TRANSVERSAL ADAPTIVE FILTER AND RANDOM GRADIENT
METHOD * 404
FILTER * 405
THE SEARCH ON THE QUADRATIC PERFORMANCE SURFACE * 408
THE LEAST MEAN SQUARE ALGORITHM OF ADAPTIVE FILTER * 414
LEAST MEAN SQUARE ALGORITHM * 414
PERFORMANCE ANALYSIS OF LMS ALGORITHM * 416
IMPROVED LMS ALGORITHMS * 426
PRACTICAL CONSIDERATIONS * 432
THE RECURSIVE LEAST SQUARE ALGORITHM OF ADAPTIVE FILTERS * 437
THE PRINCIPLE OF THE LINEAR LS ALGORITHM * 437
RLS ADAPTIVE FILTER * 439
PRACTICAL CONSIDERATIONS * 442
THE MAIN STRUCTURES OF ADAPTIVE FILTERS * 442
ADAPTIVE NOISE CANCELLATION AND ITS APPLICATIONS * 442
ADAPTIVE LINE ENHANCEMENT AND ITS APPLICATIONS * 447
ADAPTIVE SYSTEM IDENTIFICATION AND ITS APPLICATIONS * 451
EXERCISES * 452
13 HIGHER-ORDER AND FRACTIONAL LOWER-ORDER STATISTICS * 455
13.1 HIGHER-ORDER STATISTICS * 455
13.1.1 OVERVIEW OF HIGHER-ORDER STATISTICS * 455
13.1.2 THE CHARACTERISTIC FUNCTION * 455
13.1.3 STATISTICAL DEFINITIONS OF MOMENTS AND CUMULANTS * 456
13.1.4 THE PROPERTIES OF HIGHER-ORDER CUMULANT * 460
13.1.5 ESTIMATION OF HIGHER-ORDER CUMULANT * 461
13.1.6 HIGHER-ORDER SPECTRA AND HIGHER-ORDER SPECTRA ESTIMATION * 463
13.2 APPLICATION OF HOS FOR THE CLASSIFICATION OF LUNG SOUNDS * 476
13.3 ALPHA-STABLE DISTRIBUTION AND FRACTIONAL LOWER-ORDER
STATISTICS
----
477
13.3.1 INTRODUCTION
----
477
13.3.2 GENERAL DESCRIPTION * 481
13.3.3 FRACTIONAL LOWER- ORDER STATISTICS * 482
13.3.4 GENERAL PROPERTIES * 485
13.3.5 CHARACTERISTIC EXPONENT ESTIMATION OF SAS * 488
13.3.6 MULTIVARIATE ALPHA-STABLE RANDOM VARIABLES * 490
13.3.7 GENERATION OF RANDOM SAMPLES * 490
13.4 APPLICATION OF FRACTIONAL LOWER-ORDER STATISTICS TO TIME DELAY
ESTIMATION * 492
EXERCISES * 498
14 INTRODUCTION OF MODERN SIGNAL PROCESSING * 500
14.1 TIME-FREQUENCY ANALYSIS * 500
14.1.1 FUNDAMENTAL CONCEPT OF TIME-FREQUENCY ANALYSIS * 500
14.1.2 SHORT-TIME FOURIER ANALYSIS * 502
14.1.3 GABOR EXPANSION AND GABOR TRANSFORM * 509
14.1.4 COHEN*S CLASS TIME-FREQUENCY DISTRIBUTION * 517
14.1.5 THE APPLICATION OF TIME-FREQUENCY DISTRIBUTION IN
ELECTROCARDIOGRAM SIGNAL PROCESSING * 526
14.2 THE BASIC OF WAVELETS ANALYSIS * 529
14.2.1 OVERVIEW * 529
14.2.2 CONTINUOUS WAVELET TRANSFORM * 531
14.2.3 DISCRETE WAVELET TRANSFORM * 535
14.2.4 MULTISCALE (RESOLUTION) ANALYSIS * 538
14.2.5 IMPLEMENTATION TECHNOLOGY OF WAVELET TRANSFORM * 548
14.2.6 COMMON WAVELET BASIS FUNCTIONS * 551
14.2.7 APPLICATION OF WAVELET ANALYSIS IN SIGNAL DENOISING * 552
14.3 HILBERT-HUANG TRANSFORMATION * 556
14.3.1 INTRODUCTION * 556
14.3.2 THE BASIC CONCEPTS AND THEORY OF HILBERT-HUANG
TRANSFORM * 557
14.3.3 INTRINSIC MODE FUNCTION * 561
14.3.4 HILBERT SPECTRUM AND MARGINAL HILBERT SPECTRUM
14.3.5 APPLICATIONS * 568
EXERCISES * 571
BIBLIOGRAPHY * 573
INDEX * 579
|
| any_adam_object | 1 |
| author | Qiu, Tianshuang Guo, Ying |
| author_GND | (DE-588)1163400270 (DE-588)1163400521 |
| author_facet | Qiu, Tianshuang Guo, Ying |
| author_role | aut aut |
| author_sort | Qiu, Tianshuang |
| author_variant | t q tq y g yg |
| building | Verbundindex |
| bvnumber | BV045107925 |
| classification_rvk | ZN 6025 ZN 6040 |
| ctrlnum | (OCoLC)1033633366 (DE-599)DNB1148964215 |
| dewey-full | 621.3 |
| dewey-hundreds | 600 - Technology (Applied sciences) |
| dewey-ones | 621 - Applied physics |
| dewey-raw | 621.3 |
| dewey-search | 621.3 |
| dewey-sort | 3621.3 |
| dewey-tens | 620 - Engineering and allied operations |
| discipline | Elektrotechnik / Elektronik / Nachrichtentechnik |
| format | Book |
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| id | DE-604.BV045107925 |
| illustrated | Illustrated |
| indexdate | 2025-02-20T06:37:34Z |
| institution | BVB |
| institution_GND | (DE-588)10095502-2 |
| isbn | 9783110461589 3110461587 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-030498350 |
| oclc_num | 1033633366 |
| open_access_boolean | |
| owner | DE-92 DE-634 DE-703 DE-862 DE-BY-FWS DE-83 DE-1050 |
| owner_facet | DE-92 DE-634 DE-703 DE-862 DE-BY-FWS DE-83 DE-1050 |
| physical | XVI, 586 Seiten Illustrationen, Diagramme 24 cm x 17 cm |
| publishDate | 2018 |
| publishDateSearch | 2018 |
| publishDateSort | 2018 |
| publisher | De Gruyter |
| record_format | marc |
| series2 | De Gruyter STEM |
| spellingShingle | Qiu, Tianshuang Guo, Ying Signal processing and data analysis Signalanalyse (DE-588)4181260-8 gnd Signalverarbeitung (DE-588)4054947-1 gnd Datenanalyse (DE-588)4123037-1 gnd Signaltheorie (DE-588)4054945-8 gnd |
| subject_GND | (DE-588)4181260-8 (DE-588)4054947-1 (DE-588)4123037-1 (DE-588)4054945-8 |
| title | Signal processing and data analysis |
| title_auth | Signal processing and data analysis |
| title_exact_search | Signal processing and data analysis |
| title_full | Signal processing and data analysis Tianshuang Qiu and Ying Guo |
| title_fullStr | Signal processing and data analysis Tianshuang Qiu and Ying Guo |
| title_full_unstemmed | Signal processing and data analysis Tianshuang Qiu and Ying Guo |
| title_short | Signal processing and data analysis |
| title_sort | signal processing and data analysis |
| topic | Signalanalyse (DE-588)4181260-8 gnd Signalverarbeitung (DE-588)4054947-1 gnd Datenanalyse (DE-588)4123037-1 gnd Signaltheorie (DE-588)4054945-8 gnd |
| topic_facet | Signalanalyse Signalverarbeitung Datenanalyse Signaltheorie |
| url | http://www.degruyter.com/search?f_0=isbnissn&q_0=9783110461589&searchTitles=true http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=030498350&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT qiutianshuang signalprocessinganddataanalysis AT guoying signalprocessinganddataanalysis AT walterdegruytergmbhcokg signalprocessinganddataanalysis |
Indexes
THWS Schweinfurt Zentralbibliothek Lesesaal
| Call Number: |
2000 ZN 6040 P999 |
|---|---|
| Copy 1 | ausleihbar Available Place a Hold |