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Fundamentals of Signal Processing for Sound and Vibration Engineers

Fundamentals of Signal Processing for Sound and Vibration Engineers

Kihong Shin, Joseph Hammond

ISBN: 978-0-470-72564-1

Apr 2008

416 pages



Fundamentals of Signal Processing for Sound and Vibration Engineers is based on Joe Hammond’s many years of teaching experience at the Institute of Sound and Vibration Research, University of Southampton. Whilst the applications presented emphasise sound and vibration, the book focusses on the basic essentials of signal processing that ensures its appeal as a reference text to students and practitioners in all areas of mechanical, automotive, aerospace and civil engineering. 
  • Offers an excellent introduction to signal processing for students and professionals in the sound and vibration engineering field.
  • Split into two parts, covering deterministic signals then random signals, and offering a clear explanation of their theory and application together with appropriate MATLAB examples.
  • Provides an excellent study tool for those new to the field of signal processing.
  • Integrates topics within continuous, discrete, deterministic and random signals to facilitate better understanding of the topic as a whole.
  • Illustrated with MATLAB examples, some using ‘real’ measured data, as well as fifty MATLAB codes on an accompanying website.  

1. Introduction to Signal Processing.

1.1 Descriptions of Physical Data (Signals).

1.2 Classification of Data.


2. Classification of Deterministic Data.

2.1 Periodic Signals.

2.2 Almost Periodic Signals.

2.3 Transient Signals.

2.4 Brief Summary and Concluding Remarks.

2.5 MATLAB Examples.

3. Fourier Series.

3.1 Periodic Signals and Fourier Series.

3.2 The Delta Function.

3.3 Fourier Series and the Delta Function.

3.4 The Complex Form of the Fourier Series.

3.5 Spectra.

3.6 Some Computational Considerations.

3.7 Brief Summary.

3.8 MATLAB Examples.

4. Fourier Integrals (Fourier Transform) and Continuous-Time Linear Systems.

4.1 The Fourier Integral.

4.2 Energy Spectra.

4.3 Some Examples of Fourier Transforms.

4.4 Properties of Fourier Transforms.

4.5 The Importance of Phase.

4.6 Echoes.

4.7 Continuous-Time Linear Time-Invariant Systems and Convolution.

4.8 Group Delay (Dispersion).

4.9 Minimum and Non-Minimum Phase Systems.

4.10 The Hilbert Transform.

4.11 The Effect of Data Truncation (Windowing).

4.12 Brief Summary.

4.13 MATLAB Examples.

5. Time Sampling and Aliasing.

5.1 The Fourier Transform of An Ideal Sampled Signal.

5.2 Aliasing and Anti-Aliasing Filters.

5.3 Analogue-to-Digital Conversion and Dynamic Range.

5.4 Some Other Considerations in Signal Acquisition.

5.5 Shannon’s Sampling Theorem (Signal Reconstruction).

5.6 Brief Summary.

5.7 MATLAB Examples.

6. The Discrete Fourier Transform.

6.1 Sequences and Linear Filters.

6.2 Frequency Domain Representation of Discrete Systems and Signals.

6.3 The Discrete Fourier Transform.

6.4 Properties of the DFT.

6.5 Convolution of Periodic Sequences.

6.6 The Fast Fourier Transform.

6.7 Brief Summary.

6.8 MATLAB Examples.


7. Random Processes.

7.1 Basic Probability Theory.

7.2 Random Variables and Probability Distributions.

7.3 Expectations of Functions of a Random Variable.

7.4 Brief Summary.

7.5 MATLAB Examples.

8. Stochastic Processes; Correlation Functions and Spectra.

8.1 Probability Distribution Associated with a Stochastic Process.

8.2 Moments of a Stochastic Process.

8.3 Stationarity.

8.4 The Second Moments of a Stochastic Process; Covariance.

(Correlation) Functions.

8.5 Ergodicity and Time Averages.

8.6 Examples.

8.7 Spectra.

8.8 Brief Summary.

8.9 MATLAB Examples.

9. Linear System Response to Random Inputs: System Identification.

9.1 Single-Input, Single-Output Systems.

9.2 The Ordinary Coherence Function.

9.3 System Identification.

9.4 Brief Summary.

9.5 MATLAB Examples.

10. Estimation Methods and Statistical Considerations.

10.1 Estimator Errors and Accuracy.

10.2 Mean Value and Mean Square Value.

10.3 Correlation and Covariance Functions.

10.4 Power Spectral Density Function.

10.5 Cross-spectral Density Function.

10.6 Coherence Function.

10.7 Frequency Response Function.

10.8 Brief Summary.

10.9 MATLAB Examples.

11. Multiple-Input/Response Systems.

11.1 Description of Multiple-Input, Multiple-Output (MIMO) Systems.

11.2 Residual Random Variables, Partial and Multiple Coherence Functions.

11.3 Principal Component Analysis.