Introduction / 1: |
Orthogonality and Signal Representations / 2: |
Signals and Systems |
Classification of Signals |
Classification of Systems |
Signals and Vectors |
Orthogonal Functions |
Choice of a Set of Orthogonal Functions |
The Exponential Fourier Series |
Complex Signals and Representations |
The Trigonometric Fourier Series Representation |
Extension by Periodicity |
Parseval's Theorem for Power Signals |
The Frequency Transfer function |
Steady-State Response to Periodic Signals |
Harmonic Generation |
The Fourier Spectrum and Examples |
Numerical Computation of Fourier Coefficients |
Effects of Alias Terms |
Singularity Functions |
Impulse Response |
Convergence of the Fourier Series |
Summary |
Problems |
The Fourier Transform and Applications / 3: |
Representation of an Aperiodic Function Over the Entire Real Line |
The Spectral Density function |
Existence of the Fourier Transform |
Parseval's Theorem for Energy Signals |
Some Fourier Transforms Involving Impulse Functions |
Properties of the Fourier Transform |
Some Convolution Relationships |
Graphic Interpretation of Convolution |
Filter Characteristics of Linear Systems |
Transversal Filters |
Bandwidth of a System |
Requirements for Distortionless Transmission |
Time Response of Filters |
Minimum Time-Bandwidth Product |
The Sampling Theorem |
Aliasing Effects in Sampling |
The Discrete Fourier Transform |
The Fast Fourier Transform |
Spectral Density and Correlation / 4: |
Energy Spectral Density |
Power Spectral Density |
Time-Averaged Noise Representations |
Correlation Functions |
Some Properties of Correlation Functions |
Correlation Function for Finite-Energy Signals |
Band-Limited White Noise |
Amplitude Modulation / 5: |
Amplitude Modulation: Suppressed Carrier |
Amplitude Modulation: Large Carrier (AM) |
Frequency-Division Multiplexing (FDM) |
Single-Sideband (SSB) Modulation |
Vestigial-Sideband (VSB) Modulation |
A Time-Representation of Bandpass Noise |
Signal-to-Noise Ratios in AM Reception |
Propagation Effects |
Comparison of Various AM Systems |
Angle Modulation / 6: |
FM and PM |
Narrowband FM |
Wideband FM |
Average Power in Angle-Modulated Waveforms |
Phase Modulation |
Generation of Wideband FM Signals |
Demodulation of FM Signals |
Signal-to-Noise Ratios in FM Reception |
Threshold Effect in FM |
Signal-to-Noise Improvement Using Deemphasis |
Pulse Modulation / 7: |
Pulse-Amplitude Modulation (PAM) |
Time-Division Multiplexing (TDM) |
Pulse Shaping and Intersymbol Interference |
Other Types of Analog Pulse Modulation: PWM and PPM |
Signal-to-Noise Ratios in Analog Pulse Modulation |
Pulse-Code Modulation (PCM) |
Fiber Optic Communication Systems |
Use of Parity and Redundancy in PCM |
Time-Division Multiplexing of PCM Signals |
Integrated Services Digital Network (ISDN) |
The Matched Filter |
Matched-Filter Codeword Detection |
Pseudonoise (PN) Sequences |
Probability and Random Variables / 8: |
Probability |
Conditional Probability and Statistical Independence |
The Random Variable and Cumulative Distribution function |
The Probability Density function |
Statistical Averages |
Some Probability Distributions |
The Histogram |
Transformations of Random Variables |
Joint and Conditional Density Functions |
Correlation Between Random Variables |
The Bivariate Gaussian Distribution |
Random Processes |
Autocorrelation and Power Spectra |
Numerical Computation of Power Spectra |
Information and Digital Transmission / 9: |
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Introduction / 1: |
Orthogonality and Signal Representations / 2: |
Signals and Systems |
Classification of Signals |
Classification of Systems |
Signals and Vectors |