## Fundamentals of Analog and Digital Signal ProcessingThe book is suitable to be used as a one-semester senior-level course for the undergraduate engineering technology program including electronics, computer, and biomedical engineering technologies. However, the book could also be useful as a reference for undergraduate engineering students, science students, and practicing engineers. |

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To create a two-sided amplitude spectral plot from a complex exponential,reference

### Contents

INTRODUCTION TO SIGNAL PROCESSING | 1 |

ANALOG SIGNALS | 9 |

LAPLACE TRANSFORM OF ANALOG SIGNALS | 29 |

ANALOG ELECTRICAL CIRCUIT SYSTEMS | 45 |

ANALOG ACTIVE FILTER DESIGN | 73 |

FOURIER SERIES AND FOURIER TRANSFORM | 119 |

SIGNAL SAMPLING AND QUANTIZATION | 145 |

DIGITAL SIGNALS AND SYSTEMS | 171 |

THE ZTRANSFORM | 213 |

DSP SYSTEMS AND DIGITAL FILTER REALIZATIONS | 231 |

FINITE IMPULSE RESPONSE DIGITAL FILTERS | 267 |

INFINITE IMPULSE RESPONSE DIGITAL FILTERS | 309 |

REFERENCES | 363 |

APPENDIX B NORMALIZED BUTTERWORTH AND CHEBYSHEV FUNCTIONS | 373 |

SOME USEFUL MATHEMATICAL FORMULAS | 379 |

INDEX | 395 |

### Common terms and phrases

amplitude spectrum analog filter analog signal Applying audio bandpass filter bandstop filter bilinear transformation Butterworth filter Chebyshev filter compute cut-off frequency Determine the transfer difference equation digital filter digital signal processing direct-form domain DSP system exponential filter design FIR filter FIR filter coefficients first-order Fourier series Fourier series expansion Fourier transform Frequency Hz given Hamming window harmonic highpass filter impulse response initial conditions input inverse Laplace transform linear lowpass filter lowpass prototype magnitude and phase magnitude frequency response magnitude response MATLAB function MATLAB program noise obtain partial fraction expansion passband passband gain Passband ripple phase frequency responses phase response plot the magnitude pole-zero plot poles prototype transformation quantization radians radians/second sampled signal sampling rate second-order sequence shifted shown in Figure signal spectrum Solution stopband system output Table time-invariant transfer function voltage volts waveform window function yields yn xn z-plane z-transform