## Introduction to Signal and System AnalysisThe approach taken in Gopalan's text is to introduce students to the concepts and mathematical tools necessary to understand and appreciate the wide array of exciting fields in Electrical Engineering such as signal processing, control systems, and communications. The book is structured to introduce the basic continuous-time signal and system analysis concepts as an extension of familiar circuit analysis methods. A strong theoretical foundation for signal analysis is built, leading students to successfully discuss the various system analysis methods used in practice today. Use of MATLAB with appropriate examples has been integrated throughout the book. Important Notice: Media content referenced within the product description or the product text may not be available in the ebook version. |

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### Contents

MATHEMATICAL MODELING AND PROPERTIES | 14 |

Summary | 84 |

CONTINUOUSTIME SYSTEM ANALYSIS IN TIME DOMAIN | 98 |

and the System Function | 132 |

Summary | 142 |

DISCRETETIME SYSTEM ANALYSIS IN TIME DOMAIN | 150 |

Summary | 194 |

FREQUENCY DOMAIN ANALYSIS OF CT SIGNALS | 302 |

and the Frequency Response | 385 |

THE ZTRANSFORM AND DISCRETETIME SYSTEM ANALYSIS | 425 |

Laplace Transform | 490 |

FREQUENCY DOMAIN ANALYSIS OF DT SIGNALS | 504 |

Summary | 552 |

STATE VARIABLE ANALYSIS OF CONTINUOUS | 559 |

APPENDIX | 619 |

B Some Useful Mathematical Operations | 627 |

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### Common terms and phrases

a)da amplitude applied input approximation behavior BIBO BIBO stable block diagram causal Chapter circuit complex exponential components constant corresponding CT signal delayed derivative determine discrete-time domain DT LTI system DT system DTFT energy evaluate example filter Fourier series Fourier transform frequency response given by Eq Hence impulse function impulse response h[n initial conditions input signal input x(t input x[n integral interval inverse Laplace transform linear system magnitude and phase MATLAB obtain output periodic signal plots pole-zero plot poles polynomial pulse rads recursive response given response y(t result RLC circuit s-domain sampled signal samples shown in Figure signal x(t signal x[n signals and systems sinusoidal solution spectral spectrum state-variable model steady–state response step response system analysis system function system model system response time-invariant tion total response transfer function unit circle unit impulse variable verify voltage xp(t xs(t z-transform zero zero-state response