## Digital Signal ProcessingCharacterization and classification of signals - examples of signals - multichannel -multi-dimensional - continuous versus discrete - analog versus digital - concept of frequency. Concepts of signal processing - typical applications - advantages of digital signal processing compared with analog processing.Discrete Time SystemsRepresentations-classifications - time domain and frequency domain characterization - transfer functions - Z-transform and applications.Frequency Analysis Of SignalsAnalysis of analog and discrete signals-using Fourier series, Fourier transform, Fourier transform of discrete sequence and discrete Fourier transform-properties of transforms-computation of discrete Fourier transforms-Radix 2. FFT algorithms.Digital Processing Of Continuous SignalsSampling of continuous signals-analog filter design-anti aliasing filters-sample and hold circuit-reconstructing filters-analog to digital and digital to analog converters.Digital Filters Block diagram representation -IIR and FIR structures-Impulse invariance and bilinear transform methods of IIR filter design. |

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### Contents

systems impulse response representation ztransform representation etc | 1 |

Chapter2 Discrete Time Systems | 38 |

Chapter3 Frequency Analysis of Signals | 174 |

chapter Large number of solved examples are given Some useful appendix | 198 |

vi | 301 |

Theory Questions | 319 |

Chapter 3 Frequency Analysis of Signals 174 to | 321 |

Chapter 4 Digital Processing of Continuous Signals 322 to | 394 |

Chapter5 Digital Filters | 395 |

viii | 476 |

Chapter 5 Digital Filters 395 to | 529 |

ix | 530 |

AppendixA Important Mathematical Relations 530 to | 535 |

AppendixB ztransform and DFT Properties | 536 |

Useful Formulae | 543 |

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### Common terms and phrases

2-point DFTs A/D converter amplitude analog filter analog signals bilinear transformation butterworth filter calculated chebyshev filter circular convolution coefficients computation Continuous Signals continuous time signal converter cosine wave delayed difference equation digital filter Digital Signal Processing discrete time signals discrete time systems equation becomes example finite FIR filter fourier transform given by equation given system equation Hence above equation Hence equation Hence the system IDFT IIR systems impulse response input sample linear combination linear convolution lowpass filter LTI system magnitude multiplication N-point noncausal observe obtained passband periodic pole zero plot present input Putting the values rad/sec radians refer Fig sequence x(n shift invariant shift variant shown in Fig shows signal flow graph Similarly sketch stable summation system function Table unit circle unit sample response unit sample sequence unit step sequence written x(ri z-plane