## An Introduction to Digital Signal ProcessingAn Introduction to Digital Signal Processing is written for those who need to understand and use digital signal processing and yet do not wish to wade through a multi-semester course sequence. Using only calculus-level mathematics, this book progresses rapidly through the fundamentals to advanced topics such as iterative least squares design of IIR filters, inverse filters, power spectral estimation, and multidimensional applications--all in one concise volume.This book emphasizes both the fundamental principles and their modern computer implementation. It presents and demonstrates how simple the actual computer code is for advanced modern algorithms used in DSP. Results of these programs, which the reader can readily duplicate and use on a PC, are presented in many actual computer drawn plots. |

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### Contents

Sampled Data and the Z Transform | 27 |

Sinusoidal Response of LSI Systems | 42 |

Couplets and Elementary Filters | 64 |

Copyright | |

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### Common terms and phrases

algorithm aliasing allpass filter analog applications approach ARMA autocorrelation average behavior bilinear transform boxcar Burg called causal Chapter circular convolution complex computer program continuous-time convolution theorem convolving data window delay difference equation difference operator differential equation digital filter digital signal processing discrete discussion eigenvalue example Figure finite FIR filter Fourier integral Fourier series Fourier transform frequency domain frequency response frequency sampling Gaussian given gives Hilbert transform IDFT impulse response input interpolation inverse iterative least-squares length linear lowpass filter LSI operator LSI systems magnitude spectrum matrix method minimum phase minimum phase sequence multiplication noise normal equations Nyquist output periodogram phase couplet phase spectrum plane points polynomial power spectrum problem produce properties recursion result seismic shown in Fig sinc function sine single-pole single-zero sinusoids solution specified spectral estimation spectral factorization square stable symmetric tion transfer function truncated unit circle values vector wave zero padding