D Transforms and Signal Representation

List of Figures List of Tables 1 Principles of Communications with Focus on AM 2 Baseband Digital Modulation with Focus on PAM 3 Passband Digital Modulation with Focus on QAM 4 Channels: Modeling, Simulating and Mitigating their Effects 5 Optimal Receivers and Probability of Error for AWGN 6 Multicarrier systems A Useful Mathematics B Useful Softwares and Programming Tricks C Analog and Digital Signals D Transforms and Signal Representation D.1 What You Will Learn D.2 Linear Transform D.3 Advanced: Inner Products to Obtain the Transform Coefficients D.4 Block Transforms D.5 Fourier Transforms and Series D.6 Relating spectra of digital and analog frequencies D.7 Advanced: Summary of equations for DFT / FFT Usage D.8 Laplace Transform D.9 Z Transform D.10 Applications D.11 Comments and Further Reading E Analog and Digital Systems F Spectral Estimation Techniques

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D. Transforms and Signal Representation

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