## Digital Signal ProcessingClassification of Signals : Analog, Discrete-time and Digital, Basic sequences and sequence operations, Discrete-time systems, Properties of D.T. Systems and Classification, Linear Time Invariant Systems, Impulse response, Linear convolution and its properties, Properties of LTI systems : Stability, Causality, Parallel and Cascade connection, Linear constant coefficient difference equations, Eigen functions for LTI systems and frequency response, Periodic sampling, Sampling theorem, Frequency Domain representation of sampling, reconstruction of a band limited signal, A to D conversion process : Sampling, Quantization and Encoding.Representation of sequences by Fourier Transform, Symmetry properties of F.T., F.T. theorems : Linearity, Time shifting, Frequency shifting, Time reversal, Differentiation, Parseval's theorem, Convolution theorem, Windowing theorem, Z-transform, ROC and its properties, Inverse z-transform by inspection, Partial fraction, Power series expansion and Complex inversion, Z-transform properties : Linearity, Time shifting, Multiplication by exponential sequence, Differentiation, Conjunction, Time reversal, Convolution, Initial value theorem, Unilateral Z-transform : solution of difference equation.Frequency Response of LTI Systems Ideal frequency selective filters, Magnitude and Phase response, Group delay, System functions for LTI systems : Stability and causality, Inverse systems, Significance of poles/zeros, Frequency response for rational system functions : Frequency response of a single zero or pole, Frequency response from pole-zero plot using simple geometric construction, Systems with linear phase, Generalized Linear phase systems, Four types of GLPS.Sampling the F.T., Fourier Representation of Finite-duration Sequences :The discrete Fourier transform, Properties of DFT : Linearity, Circular shift, Duality, Symmetry, Circular convolution, Linear convolution using DFT, Effective computation of DFT and FFT, Goerzel algorithm, DIT FFT, DIF FFT, Inverse DFT using FFT, Practical considerations in FFT implementation.Concept of filtering, Ideal filters and approximations, Specifications, IIR filter design from continuous time filters : Characteristics of Butterworth, Chebshev and elliptic approximations, Impulse invariant and bilinear transformation techniques, Design examples, FIR filter design using windows : Properties of commonly used windows, Incorporation of Generalized linear phase, Design examples, Design using Kaiser window, Comparison of IIR and FIR Filters.Block diagrams and Signal flow graph representation LCCDE, Basic structures for IIR Systems : Direct form, Cascade form, Parallel form, Feedback in IIR systems, Transposed forms, Basic Structures for FIR Systems : Direct form, Cascade form, Structures for linear phase FIR systems, Finite Register Length effect.DSP Processors Architecture and Applications of DSP : Detail study of DSP chip architecture as an example of ADSP 21XX series of microprocessor and their desirable features, Instruction set of ADSP 21XX series processor and some examples. |

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ultimate book for dsp.....in very simple language.. useful to clear basic fundas..

### Contents

Chapter2 Fourier Transform and ZTrarisform | 154 |

Frequency Response of LTI Systems | 272 |

Chapter4 DFT and | 343 |

Chapter5 Digital Filters | 520 |

Chapter6 Block diagram Signal Flow Graph Representation of LCCDE | 663 |

Chapter7 DSP Processors and Applications | 724 |

AppendixA Important Mathematical Relations | 761 |

AppendixB zTransform DFT Properties 76 | 771 |

Assignment 7 NPoint Circular Convolution or Linear Convolution using Circular | 840 |

Assignment 9 DIT FFT Algorithm to Find DFT or IDFT | 852 |

Assignment 10 DFT of a Given Sequence using Goertzel Algorithm | 871 |

Assignment 11 Fourier Transform of Various Window Functions | 877 |

Assignment 12 Butterworth Filter Design using Bilinear Transformation | 886 |

Assignment 13 Filter Design using Windows | 907 |

Assembly Program 1 Differential Equation Implementation on ADSP2105 | 921 |

Oral Questions on DSP Processors and Assembly Programming | 931 |

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### Common terms and phrases

2-point DFTs analog filter bilinear transformation butterworth filter calculated CASP causal chebyshev filter circular convolution coefficients cutoff frequency data memory delay difference equation digital filter Digital Signal Processing discrete time signal discrete time system DIT-FFT domain DSP processors DTFT equation becomes example FFT algorithms FIR filter fourier transform frequency response given by equation Goertzel algorithm Graph Representation H(co Hence above equation highpass IIR system imaginary implemented impulse response kaiser window linear convolution linear phase loop lowpass filter LTI system magnitude and phase Marks MATLAB MATLAB program multiplication number of samples observe obtained output passband point DFT printf program memory quantization rad/sec Radix-2 realization Representation of LCCDE sampling frequency sequence x(n shift invariant shown in Fig signal flow graph stopband summation system function Taking inverse z-transform transfer function unit circle unit sample response write x(ri z-plane