EECE 453 Notes
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Transcript of EECE 453 Notes
Contents
Classification of Signals 5
Signal Energy and Power 6
Signal Operations 12
Decibel 14
Vectors, Signals, Vector Approximation 15
Signal Approximation 16
Orthogonal Functions 18
Walsh Functions 24
Fourier Series 28
Parseval’s Theorem 42
Fourier Transform 44
Modulation Theorem 51
Fourier Series and Fourier Transform 55
Power Spectral Density (PSD) 57
Autocorrelation Functions 59
Energy Spectral Density 68
Power Transfer Function 70
Pulse Detection and Resolution 76
Demodulation of Sampled Signals 81
Dimensionality Theorem 83
Phase Amplitude Modulation 87
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Signal to Noise Ratio 95
PSD for Digital Signaling 102
Baseband Binary Data Transmission System 105
Rased Cosine Spectrum 107
Nyquist Pulse Shaping Criterion 107
Delta Modulation (DM) 110
Sigma Delta Modulator 115
Time Division Multiplexing (TDM) 120
Cross Talk 121
Bandpass Signals 126
Complex Envelope 127
Hilbert Transform 132
Bandpass Sampling Theorem 139
Amplitude Modulation 141
Diode Demodulator 146
Frequency Modulation (FM) 160
Matched Filters 179
Amplitude Shift Keying (ASK) 184
Frequency Shift Keying (FSK) 187
Quadrature Amplitude Modulation (QAM) 200
Shannon’s Channel Capacity 206
Pseudonoise Sequence, Linear Feedback Shift Register 214
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Global Positioning System (GPS) 218
Coding 230
This table of contents is not guaranteed to be exhaustive.
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