## Signals and Systems |

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### Contents

SYSTEMS AND TIME DOMAIN ANALYSIS 4358 | 43 |

FOURIER SERIES ANALYSIS OF CONTINUOUSTIME SIGNALS 5984 | 59 |

THE CONTINUOUSTIME FOURIER TRANSFORM 85109 | 85 |

SAMPLING 110118 | 110 |

CONVOLUTION AND CORRELATION 119137 | 119 |

THE LAPLACE TRANSFORM 138162 | 138 |

ZTRANSFORMS 163190 | 163 |

THE REALIZATION OF SYSTEM FUNCTION USING | 191 |

Problems | 200 |

249 | |

### Common terms and phrases

absolutely summable amplitude average power causal complex exponential components continuous-time signal continuous-time system convolution cross correlation defined difference equation differential equation Discrete-Time Fourier Transform discrete-time signal discrete-time system DTLTI exponential signal expressed filter Find the Fourier finite energy finite number Fourier series coefficients Fourier series representation Fourier transform pair frequency domain frequency response given H(co illustrated in Figure impulse response impulse response h(t infinite input interval inverse Laplace transform inverse Z-transform LTI system magnitude obtain output Parseval's relation periodic signal periodic with period phase pole-zero poles ramp function region of convergence represented s-plane sample function sampled-data signal sequence x[n shifting shown in Figure side of Eq signal x(t signal x[n sinusoidal signal Solution spectrum system function system with impulse theorem transfer function transform of x(t unit impulse function unit step function values vector X(co X(jco XR(co xR[n zero zero-order holding