Table of contents for Discover signal processing : an interactive guide for engineers / Simon Braun.


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Counter
Part A: Exercises
1. Introduction
1_1: System excited by periodic input
1_2: System excited by a transient input
Solutions and summaries

2. Signals
2_1: Signal types and parameters
2_2: Energy and power of signals
2_3: Random signals- the concept of realization
2_4: Non stationary signal: temporal changes versus variability's.
Solutions and summaries

3. Fourier methods
3_1: Fourier Series decomposition
3_2: Convergence of the Fourier Series
3_3: Fourier decomposition of experimental data
3_4: Decomposition of modulated signals
3_5: Fourier Transform
3_6: The uncertainty theorem
3_7: The Fourier Transform of power signals
3_8: Relation between a transient and its periodic extension.
3_9: The FFT- interaction between N,Ttotal and_
3_10: DFT for various signal classes
3_11: Extension of the DFT for number of elements >N.
3_12: The effect non integer number of periods in the analysis window
Solutions and summaries

4. Linear systems
4_1: Continuous and Discrete Systems
4_2: Dynamic response of an accelerometer
4_3: Transient and noise response comparison for 2 accelerometers
Solutions and summaries

5. Filters
5_1: Introduction : response, performance and filter order
5_2: Filtering of some specific signals
5_3: Linear and non-linear phase filters
5_4: The Running average filter
Solutions and summaries

6. Time domain (synchronous) averages
6_1: Signal extraction capabilities
6_2: Filtering properties
6_3: The attenuation of harmonic disturbance
6_4: The effect and detection of jitter
Solutions and summaries

7. Spectral Analysis
7_1a: Engineering units.
7_1b: Random and harmonic signals-the choice of engineering units
7_2: Leakage and windows
7_3: Separation of close signal components
7_4: Leakage and the dynamic range of spectra
7_5: Zero padding and the uncertainty theorem.
7_6: Random signal analysis and bias errors
7_7: Random signal analysis and random errors
7_8: Error mechanisms for constant duration signals
7_9: Spectral analysis and correlation functions
Solutions and summaries

8. Envelopes
8_1: Spectral analysis of envelopes
Solutions and summaries

9. The spectrogram:
9_1: Time frequency description
9_2: Analysis of specific signals, choice of analysis parameters
Solutions and summaries

10. Data acquisition
10_1: Quantization error for a sinusoidal signal
10_2: Quantization error of a measured transient, dynamic ranges of systems
10_3: The aliasing effect and the resultant spectrum
10_4: Aliasing and the dynamic response of the anti-aliasing filter
Solutions and summaries

11. Identification- transfer functions
11_1: Random excitation- bias errors traceable to insufficient resolution
11_2: Random excitation-bias errors traceable to delay
11_3: Bias errors traceable to measurement noise
11_4: Measurement noise- the choice of H estimator
Solutions and summaries

12. Introduction to Model based signal processing
12_1: Model based spectral analysis
12_2: Detection of changes
12_3: Model order and over determination
Solutions and summaries

13. Diagnostic application for rotating machinery
13-1: Enhancing of bearing vibration signature
13_2: Analysis of bearing vibrations
13_3: Analysis of gear vibrations
13_4: The effect of structures on vibration spectra of bearings and gears
13_5: 3D analysis of vibrations during start up
Solutions and summaries

14. Systems incorporating delays
14_1: Acoustic waves in a closed pipe
14_2: Identification of delays by Cross Correlation analysis
14_3: Detection of echoes by Cepstrum analysis
Solutions and summaries


Part B: Theoretical background
1. Introduction
1.1 General objectives
1.2 Basic processing
1.3 Why the frequency domain?
1.4 An introductory example

2. Signals
2.1 Signal Classification
2.2 Signal Descriptions
2.3 Correlation functions

3. Fourier methods
3.1 Fourier Series
3.2 Fourier (Integral) Transform
3.3 The uncertainty principle
3.4 The Discrete Fourier Transform DFT
3.5 The DFT and Fast Fourier Transform (FFT)
3.6 Discontinuities and windows

4. Linear systems
4.1 Continuous systems:
4.2 Discrete systems
4.3 A specific case of a continuous linear systems
Appendix 4: Slightly damped SDOF system

5. Filters
5.1 Preliminaries
5.2 Analog and Digital Filters
5.3 Filter classification and specifications
5.4 IIR filters
5.5 FIR filters
5.6 The importance of Linear phase filters
5.7 Design tools

6. Time Domain (Synchronous) Averaging
6.1 Principle
6.2 Rejection of non-synchronous components
6.3 TDA with decaying memory process

7. Spectral Analysis
7.1 Introduction
7.2 Representation of signals in the frequency domain
7.3. Errors and their control
7.4 Spectral analysis, practical consideration

8. The Envelope
8.1 Introduction
8.2 The Hilbert Transform (HT)
8.3 Narrow Band (NB) signals and their envelope

9. The Spectrogram
9.1 Introduction
9.2 Time frequency methods
9.3 The Short Time Fourier Transform (STFT) and the Spectrogram

10 Data acquisition
10.1 Data acquisition and Signal Processing systems
10.2 Amplitude quantization
10.3 Quantization in time - the sampling theorem
10.4 Anti-aliasing filters

11. Identification- Transfer Functions
11.1. Objectives and overview
11.2 Frequency Domain Identification, the noiseless case
11.3. Identification with noise corrupted signals
11.4. Error mechanisms and their control in the identification process
11.5 Estimation errors for the Coherence function

12. Introduction to Model based signal processing
12.1 General
12.2 Signal models
12.3 Modeling of signals
12.4 Model based spectral analysis
12.5 Model or selection
12.6 Model based diagnostics
Appendix 12 The correlation matrix

13. Diagnostic applications for rotating machinery
13.1 Diagnostics and rotating machinery
13.2 Structural effects
13.3 Rotating unbalance
13.4 Modelling of roller bearing vibration signals;
13.5 Bearing vibrations: structural effects and envelopes
13.6 Modelling of gears vibration signals

14. Delays
14.1 System with pure delays
14.2 Correlation functions
14.3 Cepstral analysis


Library of Congress subject headings for this publication:
Signal processing.
Signal processing -- Problems, exercises, etc.