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DSP First, 2/Ed
판매가격 37,000원
저자 McClellan
도서종류 외국도서
출판사 Pearson Education
발행언어 영어
발행일 2015-08
페이지수 580
ISBN 9780136019251
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  • 도서 정보

    도서 상세설명

    Introduction 


    1-1 Mathematical Representation of Signals 


    1-2 Mathematical Representation of Systems 


    1-3 Systems as Building Blocks


    1-4 The Next Step 



    Sinusoids 


    2-1 Tuning Fork Experiment 


    2-2 Review of Sine and Cosine Functions


    2-3 Sinusoidal Signals


    2-3.1 Relation of Frequency to Period


    2-3.2 Phase and Time Shift


    2-4 Sampling and Plotting Sinusoids


    2-5 Complex Exponentials and Phasors


    2-5.1 Review of Complex Numbers 


    2-5.2 Complex Exponential Signals


    2-5.3 The Rotating Phasor Interpretation


    2-5.4 Inverse Euler Formulas Phasor Addition


    2-6 Phasor Addition


    2-6.1 Addition of Complex Numbers


    2-6.2 Phasor Addition Rule


    2-6.3 Phasor Addition Rule: Example


    2-6.4 MATLAB Demo of Phasors


    2-6.5 Summary of the Phasor Addition Rule Physics of the Tuning Fork


    2-7.1 Equations from Laws of Physics


    2-7.2 General Solution to the Differential Equation


    2-7.3 Listening to Tones


    2-8 Time Signals: More Than Formulas


    Summary and Links


    Problems




    Spectrum Representation 




    3-1 The Spectrum of a Sum of Sinusoids


    3-1.1 Notation Change


    3-1.2 Graphical Plot of the Spectrum


    3-1.3 Analysis vs. Synthesis


    Sinusoidal Amplitude Modulation 


    3-2.1 Multiplication of Sinusoids


    3-2.2 Beat Note Waveform


    3-2.3 Amplitude Modulation


    3-2.4 AM Spectrum


    3-2.5 The Concept of Bandwidth


    Operations on the Spectrum 


    3-3.1 Scaling or Adding a Constant


    3-3.2 Adding Signals


    3-3.3 Time-Shifting x.t/ Multiplies ak by a Complex Exponential


    3-3.4 Differentiating x.t/ Multiplies ak by .j 2nfk/


    3-3.5 Frequency Shifting


    Periodic Waveforms 


    3-4.1 Synthetic Vowel


    3-4.3 Example of a Non-periodic Signal


    Fourier Series 


    3-5.1 Fourier Series: Analysis


    3-5.2 Analysis of a Full-Wave Rectified Sine Wave


    3-5.3 Spectrum of the FWRS Fourier Series


    3-5.3.1 DC Value of Fourier Series


    3-5.3.2 Finite Synthesis of a Full-Wave Rectified Sine


    Time—Frequency Spectrum 


    3-6.1 Stepped Frequency


    3-6.2 Spectrogram Analysis


    Frequency Modulation: Chirp Signals 


    3-7.1 Chirp or Linearly Swept Frequency


    3-7.2 A Closer Look at Instantaneous Frequency


    Summary and Links


    Problems





    Fourier Series 


    Fourier Series Derivation





    4-1.1 Fourier Integral Derivation


    Examples of Fourier Analysis 


    4-2.1 The Pulse Wave


    4-2.1.1 Spectrum of a Pulse Wave


    4-2.1.2 Finite Synthesis of a Pulse Wave


    4-2.2 Triangle Wave


    4-2.2.1 Spectrum of a Triangle Wave


    4-2.2.2 Finite Synthesis of a Triangle Wave


    4-2.3 Half-Wave Rectified Sine


    4-2.3.1 Finite Synthesis of a Half-Wave Rectified Sine


    Operations on Fourier Series 


    4-3.1 Scaling or Adding a Constant


    4-3.2 Adding Signals


    4-3.3 Time-Scaling


    4-3.4 Time-Shifting x.t/ Multiplies ak by a Complex Exponential


    4-3.5 Differentiating x.t/ Multiplies ak by .j!0k/


    4-3.6 Multiply x.t/ by Sinusoid


    Average Power, Convergence, and Optimality 


    4-4.1 Derivation of Parseval’s Theorem


    4-4.2 Convergence of Fourier Synthesis


    4-4.3 Minimum Mean-Square Approximation


    Pulsed-Doppler Radar Waveform 


    4-5.1 Measuring Range and Velocity


    Problems






    Sampling and Aliasing 


    Sampling





    5-1.1 Sampling Sinusoidal Signals


    5-1.2 The Concept of Aliasing


    5-1.3 Spectrum of a Discrete-Time Signal


    5-1.4 The Sampling Theorem


    5-1.5 Ideal Reconstruction


    Spectrum View of Sampling and Reconstruction 


    5-2.1 Spectrum of a Discrete-Time Signal Obtained by Sampling


    5-2.2 Over-Sampling


    5-2.3 Aliasing Due to Under-Sampling


    5-2.4 Folding Due to Under-Sampling


    5-2.5 Maximum Reconstructed Frequency


    Strobe Demonstration 


    5-3.1 Spectrum Interpretation


    Discrete-to-Continuous Conversion 


    5-4.1 Interpolation with Pulses


    5-4.2 Zero-Order Hold Interpolation


    5-4.3 Linear Interpolation


    5-4.4 Cubic Spline Interpolation


    5-4.5 Over-Sampling Aids Interpolation


    5-4.6 Ideal Bandlimited Interpolation


    The Sampling Theorem


    Summary and Links


    Problems


    FIR Filters 


    6-1 Discrete-Time Systems


    6-2 The Running-Average Filter


    6-3 The General FIR Filter


    6-3.1 An Illustration of FIR Filtering


    The Unit Impulse Response and Convolution 


    6-4.1 Unit Impulse Sequence


    6-4.2 Unit Impulse Response Sequence


    6-4.2.1 The Unit-Delay System


    6-4.3 FIR Filters and Convolution


    6-4.3.1 Computing the Output of a Convolution


    6-4.3.2 The Length of a Convolution


    6-4.3.3 Convolution in MATLAB


    6-4.3.4 Polynomial Multiplication in MATLAB


    6-4.3.5 Filtering the Unit-Step Signal


    6-4.3.6 Convolution is Commutative


    6-4.3.7 MATLAB GUI for Convolution


    Implementation of FIR Filters 


    6-5.1 Building Blocks


    6-5.1.1 Multiplier


    6-5.1.2 Adder


    6-5.1.3 Unit Delay


    6-5.2 Block Diagrams


    6-5.2.1 Other Block Diagrams


    6-5.2.2 Internal Hardware Details


    Linear Time-Invariant (LTI) Systems


    6-6.1 Time Invariance


    6-6.2 Linearity


    6-6.3 The FIR Case


    Convolution and LTI Systems


    6-7.1 Derivation of the Convolution Sum


    6-7.2 Some Properties of LTI Systems


    Cascaded LTI Systems


    Example of FIR Filtering


    Summary and Links


    Problems Frequency Response of FIR Filters 


    7-1 Sinusoidal Response of FIR Systems


    7-2 Superposition and the Frequency Response


    7-3 Steady-State and Transient Response


    7-4 Properties of the Frequency Response


    7-4.1 Relation to Impulse Response and Difference Equation


    7-4.2 Periodicity of H.ej !O /


    7-4.3 Conjugate Symmetry Graphical Representation of the Frequency Response


    7-5.1 Delay System


    7-5.2 First-Difference System


    7-5.3 A Simple Lowpass Filter Cascaded LTI Systems


    Running-Sum Filtering 


    7-7.1 Plotting the Frequency Response


    7-7.2 Cascade of Magnitude and Phase


    7-7.3 Frequency Response of Running Averager


    7-7.4 Experiment: Smoothing an Image


    Filtering Sampled Continuous-Time Signals 


    7-8.1 Example: Lowpass Averager


    7-8.2 Interpretation of Delay


    Summary and Links


    Problems





    The Discrete-Time Fourier Transform 


    DTFT: Discrete-Time Fourier Transform





    8-1.1 The Discrete-Time Fourier Transform


    8-1.1.1 DTFT of a Shifted Impulse Sequence


    8-1.1.2 Linearity of the DTFT


    8-1.1.3 Uniqueness of the DTFT


    8-1.1.4 DTFT of a Pulse


    8-1.1.5 DTFT of a Right-Sided Exponential Sequence


    8-1.1.6 Existence of the DTFT


    8-1.2 The Inverse DTFT


    8-1.2.1 Bandlimited DTFT


    8-1.2.2 Inverse DTFT for the Right-Sided Exponential


    8-1.3 The DTFT is the Spectrum


    Properties of the DTFT 


    8-2.1 The Linearity Property


    8-2.2 The Time-Delay Property


    8-2.3 The Frequency-Shift Property


    8-2.3.1 DTFT of a Complex Exponential


    8-2.3.2 DTFT of a Real Cosine Signal


    8-2.4 Convolution and the DTFT


    8-2.4.1 Filtering is Convolution


    8-2.5 Energy Spectrum and the Autocorrelation Function


    8-2.5.1 Autocorrelation Function


    Ideal Filters 


    8-3.1 Ideal Lowpass Filter


    8-3.2 Ideal Highpass Filter


    8-3.3 Ideal Bandpass Filter


    Practical FIR Filters 


    8-4.1 Windowing


    8-4.2 Filter Design 


    8-4.2.1 Window the Ideal Impulse Response 


    8-4.2.2 Frequency Response of Practical Filters


    8-4.2.3 Passband Defined for the Frequency Response


    8-4.2.4 Stopband Defined for the Frequency Response


    8-4.2.5 Transition Zone of the LPF


    8-4.2.6 Summary of Filter Specifications


    8-4.3 GUI for Filter Design


    Table of Fourier Transform Properties and Pairs


    Summary and Links


    Problems





    The Discrete Fourier Transform 


    Discrete Fourier Transform (DFT)





    9-1.1 The Inverse DFT


    9-1.2 DFT Pairs from the DTFT


    9-1.2.1 DFT of Shifted Impulse


    9-1.2.2 DFT of Complex Exponential


    9-1.3 Computing the DFT


    9-1.4 Matrix Form of the DFT and IDFT


    Properties of the DFT 


    9-2.1 DFT Periodicity for XŒk]


    9-2.2 Negative Frequencies and the DFT


    9-2.3 Conjugate Symmetry of the DFT


    9-2.3.1 Ambiguity at XŒN=2]


    9-2.4 Frequency Domain Sampling and Interpolation


    9-2.5 DFT of a Real Cosine Signal


    Inherent Periodicity of xŒn] in the DFT 


    9-3.1 DFT Periodicity for xŒn]


    9-3.2 The Time Delay Property for the DFT


    9-3.2.1 Zero Padding


    9-3.3 The Convolution Property for the DFT


    Table of Discrete Fourier Transform Properties and Pairs


    Spectrum Analysis of Discrete Periodic Signals 


    9-5.1 Periodic Discrete-time Signal: Fourier Series


    9-5.2 Sampling Bandlimited Periodic Signals


    9-5.3 Spectrum Analysis of Periodic Signals


    Windows 


    9-6.0.1 DTFT of Windows


    The Spectrogram 


    9-7.1 An Illustrative Example


    9-7.2 Time-Dependent DFT


    9-7.3 The Spectrogram Display


    9-7.4 Interpretation of the Spectrogram


    9-7.4.1 Frequency Resolution


    9-7.5 Spectrograms in MATLAB


    The Fast Fourier Transform (FFT) 


    9-8.1 Derivation of the FFT


    9-8.1.1 FFT Operation Count


    Summary and Links


    Problems


    z-Transforms 


    Definition of the z-Transform


    Basic z-Transform Properties


    10-2.1 Linearity Property of the z-Transform


    10-2.2 Time-Delay Property of the z-Transform


    10-2.3 A General z-Transform Formula


    The z-Transform and Linear Systems


    10-3.1 Unit-Delay System


    10-3.2 z-1 Notation in Block Diagrams


    10-3.3 The z-Transform of an FIR Filter


    10-3.4 z-Transform of the Impulse Response


    10-3.5 Roots of a z-transform Polynomial


    Convolution and the z-Transform 


    10-4.1 Cascading Systems


    10-4.2 Factoring z-Polynomials


    10-4.3 Deconvolution


    Relationship Between the z-Domain and the !O -Domain 


    10-5.1 The z-Plane and the Unit Circle


    The Zeros and Poles of H.z/ 


    10-6.1 Pole-Zero Plot


    10-6.2 Significance of the Zeros of H.z/


    10-6.3 Nulling Filters


    10-6.4 Graphical Relation Between z and !O


    10-6.5 Three-Domain Movies


    Simple Filters 


    10-7.1 Generalize the L-Point Running-Sum Filter


    10-7.2 A Complex Bandpass Filter


    10-7.3 A Bandpass Filter with Real Coefficients





    Practical Bandpass Filter Design


    Properties of Linear-Phase Filters





    10-9.1 The Linear-Phase Condition


    10-9.2 Locations of the Zeros of FIR Linear-Phase Systems


    Summary and Links


    Problems


    IIR Filters 





    The General IIR Difference Equation


    Time-Domain Response





    11-2.1 Linearity and Time Invariance of IIR Filters


    11-2.2 Impulse Response of a First-Order IIR System


    11-2.3 Response to Finite-Length Inputs


    11-2.4 Step Response of a First-Order Recursive System


    System Function of an IIR Filter 


    11-3.1 The General First-Order Case


    11-3.2 H.z/ from the Impulse Response


    11-3.3 The z-Transform Method


    The System Function and Block-Diagram Structures


    11-4.1 Direct Form I Structure


    11-4.2 Direct Form II Structure


    11-4.3 The Transposed Form Structure


    Poles and Zeros 


    11-5.1 Roots in MATLAB


    11-5.2 Poles or Zeros at z D 0 or 1


    11-5.3 Output Response from Pole Location


    Stability of IIR Systems 


    11-6.1 The Region of Convergence and Stability


    Frequency Response of an IIR Filter


    11-7.1 Frequency Response using MATLAB


    11-7.2 Three-Dimensional Plot of a System Function


    Three Domains 


    The Inverse z-Transform and Some Applications 


    11-9.1 Revisiting the Step Response of a First-Order System


    11-9.2 A General Procedure for Inverse z-Transformation





    Steady-State Response and Stability


    Second-Order Filters





    11-11.1 z-Transform of Second-Order Filters


    11-11.2 Structures for Second-Order IIR Systems


    11-11.3 Poles and Zeros


    11-11.4 Impulse Response of a Second-Order IIR System


    11-11.4.1 Distinct Real Poles


    11-11.5 Complex Poles


    Frequency Response of Second-Order IIR Filter 


    11-12.1 Frequency Response via MATLAB


    11-12.23-dB Bandwidth


    11-12.3 Three-Dimensional Plot of System Functions


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