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| Introduction | |
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| Orthogonality and Signal Representations | |
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| Signals and Systems | |
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| Classification of Signals | |
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| Classification of Systems | |
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| Signals and Vectors | |
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| Orthogonal Functions | |
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| Choice of a Set of Orthogonal Functions | |
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| The Exponential Fourier Series | |
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| Complex Signals and Representations | |
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| The Trigonometric Fourier Series Representation | |
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| Extension by Periodicity | |
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| Parseval's Theorem for Power Signals | |
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| The Frequency Transfer function | |
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| Steady-State Response to Periodic Signals | |
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| Harmonic Generation | |
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| The Fourier Spectrum and Examples | |
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| Numerical Computation of Fourier Coefficients | |
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| Effects of Alias Terms | |
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| Singularity Functions | |
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| Impulse Response | |
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| Convergence of the Fourier Series | |
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| Summary | |
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| Problems | |
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| The Fourier Transform and Applications | |
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| Representation of an Aperiodic Function Over the Entire Real Line | |
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| The Spectral Density function | |
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| Existence of the Fourier Transform | |
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| Parseval's Theorem for Energy Signals | |
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| Some Fourier Transforms Involving Impulse Functions | |
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| Properties of the Fourier Transform | |
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| Some Convolution Relationships | |
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| Graphic Interpretation of Convolution | |
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| Filter Characteristics of Linear Systems | |
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| Transversal Filters | |
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| Bandwidth of a System | |
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| Requirements for Distortionless Transmission | |
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| Time Response of Filters | |
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| Minimum Time-Bandwidth Product | |
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| The Sampling Theorem | |
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| Aliasing Effects in Sampling | |
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| The Discrete Fourier Transform | |
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| The Fast Fourier Transform | |
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| Summary | |
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| Problems | |
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| Spectral Density and Correlation | |
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| Energy Spectral Density | |
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| Power Spectral Density | |
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| Time-Averaged Noise Representations | |
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| Correlation Functions | |
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| Some Properties of Correlation Functions | |
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| Correlation Function for Finite-Energy Signals | |
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| Band-Limited White Noise | |
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| Summary | |
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| Problems | |
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| Amplitude Modulation | |
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| Amplitude Modulation: Suppressed Carrier | |
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| Amplitude Modulation: Large Carrier (AM) | |
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| Frequency-Division Multiplexing (FDM) | |
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| Single-Sideband (SSB) Modulation | |
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| Vestigial-Sideband (VSB) Modulation | |
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| A Time-Representation of Bandpass Noise | |
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| Signal-to-Noise Ratios in AM Reception | |
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| Propagation Effects | |
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| Comparison of Various AM Systems | |
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| Summary | |
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| Problems | |
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| Angle Modulation | |
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| FM and PM | |
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| Narrowband FM | |
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| Wideband FM | |
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| Average Power in Angle-Modulated Waveforms | |
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| Phase Modulation | |
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| Generation of Wideband FM Signals | |
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| Demodulation of FM Signals | |
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| Signal-to-Noise Ratios in FM Reception | |
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| Threshold Effect in FM | |
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| Signal-to-Noise Improvement Using Deemphasis | |
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| Summary | |
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| Problems | |
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| Pulse Modulation | |
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| Pulse-Amplitude Modulation (PAM) | |
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| Time-Division Multiplexing (TDM) | |
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| Pulse Shaping and Intersymbol Interference | |
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| Other Types of Analog Pulse Modulation: PWM and PPM | |
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| Signal-to-Noise Ratios in Analog Pulse Modulation | |
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| Pulse-Code Modulation (PCM) | |
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| Fiber Optic Communication Systems | |
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| Use of Parity and Redundancy in PCM | |
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| Time-Division Multiplexing of PCM Signals | |
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| Integrated Services Digital Network (ISDN) | |
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| The Matched Filter | |
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| Matched-Filter Codeword Detection | |
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| Pseudonoise (PN) Sequences | |
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| Summary | |
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| Problems | |
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| Probability and Random Variables | |
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| Probability | |
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| Conditional Probability and Statistical Independence | |
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| The Random Variable and Cumulative Distribution function | |
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| The Probability Density function | |
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| Statistical Averages | |
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| Some Probability Distributions | |
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| The Histogram | |
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| Transformations of Random Variables | |
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| Joint and Conditional Density Functions | |
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| Correlation Between Random Variables | |
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| The Bivariate Gaussian Distribution | |
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| Random Processes | |
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| Autocorrelation and Power Spectra | |
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| Numerical Computation of Power Spectra | |
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| Summary | |
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| Problems | |
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| Information and Digital Transmission | |
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