Book: Signals, Sound, and Sensation
SIGNALS, SOUND, AND SENSATION
William M. Hartmann
Signals, Sound, and Sensation is a text about signals, audio, acoustics, and mainly psychoacoustics. It assumes that the reader is comfortable with elementary calculus. It can be purchased from:
Springer-Verlag
333 Meadowlands Parkway
Secaucus, NJ, 07094
TOLL FREE: 1-800-777-4643
The list price is $80.
CONTENTS
Chapter 1. The Pure Tone
- Mathematics of the pure tone
- * H.R. Hertz
- The spectrum
- The importance of the pure tone in psychoacoustics
- The sound of a pure tone
Chapter 2. Complex Representation
- Complex numbers - rectangular form
- Complex numbers - polar form
- Addition of complex numbers
- Multiplication of complex numbers
- Complex conjugate and the absolute value
- Reciprocal of a complex number
- Phasors
Chapter 3. Power, Intensity, and Decibels
- Average power and RMS value
- Crest factor
- Decibels
- Acoustics: pressure and intensity
- Waves in time and space
- * Lord Rayleigh
- Measuring sound pressure levels
- Adding signals
- Spectral density and spectrum level
- Observations on the decibel scale
- A note on metric units of pressure
Chapter 4. Intensity and Loudness
- Loudness level
- Difference limens
- Psychophysics
- Intensity difference limens and loudness
- * H. Fletcher
- Loudness summation across frequency
- Temporal integration
Chapter 5. Fourier Series
- * J.B.J. Fourier
- Definition of Fourier series
- Projecting of functions
- The spectrum
- Symmetry
- Computer evaluation of Fourier series coefficients
Chapter 6. Perception of Periodic Complex Tones
- Musical tones and their sources
- Harmonic analysis by the auditory periphery
- Method: Pulsation threshold
- Hearing out harmonics
- Method: Bekesy tracking
- Segregation and integration
- Pitch and tone color
- * G.S. Ohm
- Pitch, chroma, and Shepard tones
Chapter 7. Delta Functions
- Basic definition
- Relation to the unit step function
- Translation and selection properties
- Application to Fourier transforms
- Relation to the Kronecker delta
- Further properties of the delta function
- The lattice sum
- Representations of the delta function
Chapter 8. The Fourier Integral
- The transforms defined
- Transforms of sine and cosine
- Real functions, even and odd functions
- Time shifting
- Derivatives and integrals
- Convolution
- Introduction to correlation functions
- Introduction to filtering
- Periodic functions - Fourier series
- Periodic functions and the lattice sum
- Large and small scales
- Fourier transforms of sgn and theta
Chapter 9. Filters
- Filter fundamentals
- The first-order filter
- The second-order filter
- The transversal filter
- Dispersion relations
- All-pass filters
- Minimum-phase filters
- Transfer function of the Hilbert transformer
- Measuring transfer functions and coherence
Chapter 10. Auditory Filters
- Cochlear tuning
- Excitation patterns and critical bands
- Critical bandwidth
- * H.G. Barkhausen
- The gammatone filter
- The ubiquitous critical band
Chapter 11. Musical Measures of Frequency
- Intervals
- Dividing the octave
- The unit of cents
- Absolute musical scale
- * H.L.F. von Helmholtz
- Stretched and compressed tuning
Chapter 12. Pitch of Sine Tones
- The definition of pitch
- The dependence of pitch on intensity
- Diplacusis, threshold microstructure, and emissions
- Noise-induced pitch shift
- Post-stimulatory pitch shift
- Place theories and timing theories
- * G. von Bekesy
- The mel scale
- The pitches of sines and complex tones
Chapter 13. Applications of the Fourier Transform
- The energy spectrum and power spectrum
- * S.S. Stevens
- The alternating lattice
- The forgetful Fourier transformer
- The uncertainty principle
- The spectral rake
- Caveat on representations
Chapter 14. Correlation Functions and Spectra
- The finite-duration signal autocorrelation function
- The infinite-duration signal autocorrelation function
- Autocorrelation for bands of noise
- The symmetry of the autocorrelation function
- Cross-correlation in three easy cases
- The cross-spectrum
- The Revcor technique
- Autocorrelation and pitch perception
Chapter 15. Delay-and-Add Filtering
- Impulse response and transfer function for delay and add
- Repetition pitch
- The comb filter
- Delay-and-add filters in motion
Chapter 16. Probability Density Functions
- Derivation of the PDF
- PDF for the sum of two functions
- PDF for random events
- Averages and the PDF
- Central moments
Chapter 17. Beats and Amplitude Modulation
- Beats of equal-amplitude sines
- Beats of sines with unequal amplitudes
- Amplitude modulation
- Balanced modulation
- Beats and the frequency-domain grating
Chapter 18. The Envelope
- Formal evaluation of the envelope
- Envelope rules
- Calculation of the envelope
- The envelope and the Hilbert transform
- * D. Hilbert
- More envelope rules
- The envelope and perception
- Ensemble-average envelope
Chapter 19. Frequency Modulation
- Narrow-band FM
- Wide-band FM
- The detection of frequency modulation
Chapter 20. Modulation Detection and Perception
- Mixed modulation
- Modulation detection and the critical band
- FM and AM detection unified?
- Masking by two tones
- The modulation transfer function
- Roughness
Chapter 21. Sampled Signals
- The digitized signal
- The sampled signal
- The output signal
- Sampling-jitter noise
- The discrete Fourier transform
- The fast Fourier transform
- Oversampling
Chapter 22. Nonlinear Distortion
- Memoryless representation
- Dynamical representation
- Harmonic distortion
- Measurement of harmonic distortion
- Intermodulation distortion
- Distortion and audibility of phase
- Auditory nonlinearity
- Dynamic range compression
Chapter 23. Noise
- Gaussian and thermal noise
- Making noise
- The power spectrum
- The color of noise
- Uniform exciting noise
- * E.G. Wever
- Noise fluctuations
Chapter 24. Signal Detection Theory
- Two-alternative forced-choice
- (M+1)-alternative forced-choice
- Yes-No
- * G.T. Fechner
- Trials and procedures
- Staircase methods
- Efficiency
APPENDICES
A. Greek Alphabet
B. Trigonometric Functions
Definitions
Angle sum and difference formulas
Euler's formula and equivalents
C. Series
- Infinite series
- Binomial series
- Geometric series
- Special finite series
- Special infinite series
D. Integrals - Even and Odd Functions
E. Integrals in the Complex Plane
- Impulse response and the residue
- Hilbert transform integrals
F. Hilbert Transform
- Components of the analytic signal
- Dispersion relations
- Minimum-phase filters, gain and phase shift
G. Electrical Filters
H. The Normal Distribution
- The error function
- The cumulative normal
- The central limit theorem
I. The Rayleigh Distribution
- Generating random numbers having Gaussian and Rayleigh distributions
J. Standards
- ISO frequencies
- Mathematical constants
- Units of pressure and hearing threshold
- Physical constants
K. Calculation of Intermodulation Distortion
References
Index
* Indicates Biography