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| Background | |
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| Complex Numbers | |
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| Sinusoids | |
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| Sketching Signals | |
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| Cramer''s Rule | |
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| Partial Fraction Expansion | |
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| Vectors and Matrices | |
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| Miscellaneous | |
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| Introduction to Signals and Systems | |
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| Size of a Signal | |
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| Classification of Signals | |
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| Some Useful Signal Operations | |
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| Some Useful Signal Models | |
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| Even and Odd Functions | |
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| Systems | |
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| Classification of Systems | |
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| System Model: Input-Output Description | |
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| Time-Domain Analysis of Continuous-Time Systems | |
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| Introduction | |
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| System Response to Internal Conditions: Zero-Input Response | |
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| The Unit Impulse Response h(t) | |
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| System Response to External Input: Zero-State Response | |
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| Classical Solution of Differential Equations | |
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| System Stability | |
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| Intuitive Insights into System Behavior | |
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| Appendix 2.1: Determining the Impulse Response | |
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| Signal Representation by Fourier Series | |
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| Signals and Vectors | |
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| Signal Comparison: Correlation | |
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| Signal Representation by Orthogonal Signal Set | |
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| Trigonometric Fourier Series | |
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| Exponential Fourier Series | |
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| Numerical Computation of Dn | |
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| LTIC System response to Periodic Inputs | |
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| Appendix | |
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| Continuous-Time Signal Analysis: The Fourier Transform | |
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| Aperiodic Signal Representation by Fourier Integral | |
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| Transform of Some Useful Functions | |
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| Some Properties of the Fourier Transform | |
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| Signal Transmission through LTIC Systems | |
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| Ideal and Practical Filters | |
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| Signal Energy | |
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| Application to Communications: Amplitude Modulation | |
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| Angle Modulation | |
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| Data Truncation: Window Functions | |
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| Sampling | |
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| The Sampling Theorem | |
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| Numerical Computation of Fourier Transform: The Discrete Fourier Transform(DFT) | |
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| The Fast Fourier Transform (FFT) | |
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| Appendix 5.1 | |
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| Continuous-Time System Analysis Using the Laplace Transform | |
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| The Laplace Transform | |
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| Some Properties of the Laplace Transform | |
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| Solution of Differential and Integro-Differential Equations | |
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| Analysis of Electrical Networks: The Transformed Network | |
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| Block Diagrams | |
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| System Realization | |
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| Application to Feedback and Controls | |
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| The Bilateral Laplace Transform | |
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| Appendix 6.1: Second Canonical Realization | |
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| Frequency Response and Analog Filters | |
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| Frequency Response of an LTIC System | |
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| Bode Plots | |
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| Control System Design Using Frequency Response | |
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| Filter Design by Placement of Poles and Zeros of H(s) | |
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| Butterworth Filters | |
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| Chebyshev Filters | |
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| Frequency Transformations | |
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| Filters to Satisfy Distortionless Transmission Conditions | |
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| Discrete-Time Signals and Systems | |
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| Introduction | |
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| Some Useful Discrete-Time Signal Models | |
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| Sampling Continuous-Time Sinusoids and Aliasing | |
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| Useful Signal Operations | |
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| Examples of Discrete-Time Systems | |
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| Time-Domain Analysis of Discrete-Time Systems | |
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| Discrete-Time System Equations | |
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| System Response to Internal Conditions: Zero-Input Response | |
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| Unit Impulse Response h[k] | |
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| System Response to External Input: Zero-State Response | |
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| Classical Solution of Linear Difference Equations | |
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| System Stability | |
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| Appendix 9.1: Determining Impulse Response | |
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| Fourier Analysis of Discrete-Time Signals | |
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| Periodic Signal Representation by Discrete-Time Fourier Series | |
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| Aperiodic Signal Representation by Fourier Integral | |
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| Properties of DTFT | |
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| DTFT Connection with the Continuous-Time Fourier Transform | |
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| Discrete-Time Linear System Analysis by DTFT | |
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| Signal Processing Using DFT and FFT | |
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| Generalization of DTFT to the Z-Transform | |
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| Discrete-Time System Analysis Using the Z-Transform | |
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| The Z-Transform | |
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| Some Properties of the Z-Transform | |
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| Z-Transform Solution of Linear Difference Equations | |
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| System Realization | |
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| Connection Between the Laplace and the Z-Transform | |
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| Sampled-Data (Hybrid) Systems | |
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| The Bilateral Z-Transform | |
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| Frequency Response and Digital Filters | |
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| Frequency Response of Discrete-Time Systems | |
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| Frequency Response From Pole-Zero Location | |
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| Digi | |