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