## Analog and Digital Signals and SystemsThis book presents a systematic, comprehensive treatment of analog and discrete signal analysis and synthesis and an introduction to analog communication theory. This evolved from my 40 years of teaching at Oklahoma State University (OSU). It is based on three courses, Signal Analysis (a second semester junior level course), Active Filters (a first semester senior level course), and Digital signal processing (a second semester senior level course). I have taught these courses a number of times using this material along with existing texts. The references for the books and journals (over 160 references) are listed in the bibliography section. At the undergraduate level, most signal analysis courses do not require probability theory. Only, a very small portion of this topic is included here. I emphasized the basics in the book with simple mathematics and the soph- tication is minimal. Theorem-proof type of material is not emphasized. The book uses the following model: 1. Learn basics 2. Check the work using bench marks 3. Use software to see if the results are accurate The book provides detailed examples (over 400) with applications. A thr- number system is used consisting of chapter number – section number – example or problem number, thus allowing the student to quickly identify the related material in the appropriate section of the book. The book includes well over 400 homework problems. Problem numbers are identified using the above three-number system. |

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Analog and Digital Signals and Systems

R. K. Rao Yarlagadda - Technology & Engineering - 2009 - 540 pages

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### Contents

1 | |

Convolution and Correlation | 38 |

Fourier Series | 71 |

Fourier Transform Analysis | 109 |

Relatives of Fourier Transforms | 154 |

Systems and Circuits | 193 |

Approximations and Filter Circuits | 243 |

DiscreteTime Signals and Their Fourier Transforms | 311 |

Discrete Data Systems | 366 |

Analog Modulation | 429 |

Matrix Algebra | 488 |

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### Common terms and phrases

amplitude response analog approximation assumed attenuation autocorrelation band band-pass filter bandwidth capacitor Chapter component compute Consider constant convolution corresponding cos(a)ct cosine cross-correlation defined demodulation derivative Determine discrete discrete-time discrete-time Fourier transform DTFT energy equation Example expression F-series F-series coefficients Find Fourier series Fourier transform frequency func function x(t given group delay H(jo high-pass Hilbert transform ideal impulse function impulse response inductor input integral interval Laplace transform linear low-pass filter MATLAB matrix message signal Note odd function output periodic function phase responses plots poles polynomial pulse pulse function quency RC circuit rectangular sampled signal sequence shown in Fig simple sketch Solution spectral spectrum symmetry theorem tion trans transfer function trigonometric unit step values variable vector voltage width x r(t X(ja X(jo xðtÞ xr(t Y(jo yðtÞ ¼ z-transform zero