## Signals, Sound, and Sensation (Google eBook)"Signals, Sound, and Sensation is of great importance to the hearing science community... If I were to give an advanced course, this is precisely the book I would recommend." (W. Dixon Ward, University of Minnesota) This is a unique book on the mathematics of signals written for hearing-science researchers. Designed to follow an introductory text on psychoacoustics, Signals, Sound, and Sensation takes the reader through the mathematics of signal processing from its beginnings in the Fourier transform to advanced topics in modulation, dispersion relations, minimum phase systems, sampled data, and nonlinear distortion. While the book is organized like an introductory engineering text on signals, the examples and exercises come from research on the perception of sound. A unique feature of the book is the consistent application of the Fourier transform, which unifies topics as diverse as cochlear filtering and digital recording. More than 250 exercises are included. Many of them are devoted to practical research in perception, while others explore surprising auditory illusions generated by special signals. A working knowledge of elementary calculus is the only prerequisite. Signals, Sound, and Sensation will help readers acquire the quantitative skills they need to solve signal problems that arise in their everyday work. Periodic signals, aperiodic signals, and noise - along with their linear and nonlinear transformations - are covered in detail. More advanced mathematical topics are treated in the appendices. In no other book are signal mathematics and psychoacoustics so neatly intertwined. Researchers and advanced students in the psychology of auditory perception will find this book indispensable. |

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### Contents

15 | |

XII | 16 |

XIII | 17 |

XIV | 24 |

XV | 25 |

XVI | 27 |

XVII | 28 |

XVIII | 31 |

XIX | 33 |

XX | 34 |

XXI | 39 |

XXII | 40 |

XXIII | 46 |

XXIV | 49 |

XXV | 50 |

XXVI | 59 |

XXVII | 61 |

XXVIII | 63 |

XXIX | 69 |

XXX | 72 |

XXXII | 74 |

XXXIII | 81 |

XXXIV | 82 |

XXXVI | 84 |

XXXVII | 89 |

XXXVIII | 92 |

XXXIX | 98 |

XL | 117 |

XLI | 118 |

XLII | 119 |

XLIII | 122 |

XLIV | 123 |

XLV | 132 |

XLVI | 133 |

XLVII | 140 |

XLVIII | 145 |

L | 150 |

LI | 151 |

LIII | 152 |

LIV | 153 |

LV | 154 |

LVI | 155 |

LVII | 156 |

LVIII | 161 |

LIX | 162 |

LX | 163 |

LXI | 165 |

LXII | 169 |

LXIII | 170 |

LXIV | 171 |

LXV | 173 |

LXVI | 175 |

LXVII | 176 |

LXVIII | 179 |

LXIX | 182 |

LXX | 184 |

LXXI | 195 |

LXXII | 202 |

LXXIII | 209 |

LXXIV | 214 |

LXXV | 216 |

LXXVI | 218 |

LXXVII | 223 |

LXXVIII | 225 |

LXXIX | 227 |

LXXX | 238 |

LXXXI | 242 |

LXXXII | 249 |

LXXXIII | 254 |

LXXXV | 256 |

LXXXVI | 264 |

LXXXVII | 266 |

LXXXVIII | 271 |

LXXXIX | 273 |

XC | 274 |

XCI | 275 |

XCII | 282 |

XCIII | 283 |

XCIV | 285 |

XCV | 288 |

XCVI | 290 |

XCVIII | 292 |

XCIX | 295 |

CI | 297 |

CII | 302 |

CIII | 310 |

CV | 314 |

CVI | 317 |

CXVI | 351 |

CXVII | 352 |

CXVIII | 361 |

CXIX | 364 |

CXX | 368 |

CXXI | 372 |

CXXII | 377 |

CXXIII | 380 |

CXXIV | 382 |

CXXV | 386 |

CXXVII | 393 |

CXXVIII | 396 |

CXXIX | 399 |

CXXX | 403 |

CXXXI | 404 |

CXXXII | 412 |

CXXXIII | 415 |

CXXXIV | 417 |

CXXXV | 421 |

CXXXVI | 423 |

CXXXVIII | 424 |

CXXXIX | 426 |

CXL | 430 |

CXLI | 432 |

CXLII | 437 |

CXLIII | 442 |

CXLIV | 449 |

CXLV | 453 |

CXLVI | 454 |

CXLVII | 455 |

CXLVIII | 457 |

CXLIX | 462 |

CL | 468 |

CLI | 469 |

CLII | 470 |

CLIII | 477 |

CLIV | 481 |

CLV | 482 |

CLVI | 484 |

CLVII | 485 |

CLVIII | 491 |

CLIX | 492 |

CLX | 495 |

CLXI | 503 |

CLXII | 505 |

CLXIII | 509 |

CLXIV | 511 |

CLXV | 516 |

CLXVI | 522 |

CLXVII | 524 |

CLXVIII | 525 |

CLXIX | 527 |

CLXXI | 531 |

CLXXIII | 541 |

CLXXIV | 545 |

CLXXV | 546 |

CLXXVI | 548 |

CLXXVII | 549 |

CLXXIX | 556 |

CLXXX | 559 |

CLXXXI | 560 |

CLXXXII | 561 |

CLXXXIII | 563 |

CLXXXIV | 566 |

CLXXXV | 567 |

CLXXXVI | 568 |

CLXXXVII | 569 |

CLXXXVIII | 571 |

CLXXXIX | 572 |

CXC | 575 |

CXCI | 578 |

CXCII | 580 |

CXCIII | 583 |

CXCV | 586 |

CXCVI | 588 |

CXCVII | 591 |

CXCVIII | 597 |

CXCIX | 598 |

CC | 600 |

CCI | 602 |

CCII | 605 |

CCIII | 607 |

CCIV | 610 |

CCV | 611 |

CCVI | 613 |

618 | |

633 | |

### Common terms and phrases

acoustical amplitude auditory filter auditory system autocorrelation function axis beats calculate carrier Chapter coefficients complex number complex tone components constant convolution cosine function crest factor critical band critical bandwidth dB SPL delta function depends detection difference limen distribution duration effect envelope equal equation example Exercise experiment FIGURE formula Fourier series Fourier transform function x(t fundamental frequency Gaussian given harmonic number Hilbert transform impulse response input integral intensity interval inverse linear listener loudness lowpass filter magnitude masker masking measured mistuned harmonic modulation musical negative neural noise nonlinear normal octave odd function output peak perception periodic phase shift power spectrum psychoacoustical pulse pure tone random ratio rectangular sample sampled signal scale Show shown in Fig sidebands sine function sine tone sine wave sound square wave staircase stimulus symmetry threshold transfer function triangle wave tuning variable voltage waveform zero

### Popular passages

Page ii - Raphael Signals, Sound, and Sensation, by William M. Hartmann Computational Ocean Acoustics, by Finn B. Jensen, William A. Kuperman, Michael B. Porter, and Henrik Schmidt Pattern Recognition and Prediction with Applications to Signal Characterization, by David H. Kil and Frances B. Shin Oceanography and Acoustics: Prediction and Propagation Models, edited by Alan R. Robinson and Ding Lee Handbook of Condenser Microphones, edited by George SK Wong and Tony FW Embleton (continued after index) Analysis...

Page 1 - Ah, well! It means much the same thing,' said the Duchess, digging her sharp little chin into Alice's shoulder as she added, 'and the moral of THAT is — "Take care of the sense, and the sounds will take care of themselves.

Page v - ...Soun is noght but airy-broke" — Geoffrey Chaucer end of the 14th century Traditionally, acoustics has formed one of the fundamental branches of physics. In the twentieth century, the field has broadened considerably and become increasingly interdisciplinary. At the present time, specialists in modern acoustics can be encountered not only in Physics Departments, but also in Electrical and Mechanical Engineering Departments, as well as in Departments of Mathematics, Oceanography, and even Psychology....

Page xv - ... life. It is the very essence of our striving for understanding that, on the one hand, it attempts to encompass the great and complex variety of man's experience, and that on the other, it looks for simplicity and economy in the basic assumptions. The belief that these two objectives can exist side by side is, in view of the primitive state of our scientific knowledge, a matter of faith.

Page 11 - Thus, two complex numbers are equal if and only if their real parts are equal and their imaginary parts are equal.

Page iv - Department of Physics and Astronomy Michigan State University East Lansing, MI 48824 USA We have examined a very simple model of dielectric breakdown in random mixtures of metal and dielectric.

Page ii - Department of Mechanical and Aerospace Engineering, North Carolina State University, Raleigh, North Carolina MANFRED R.