Digital Signal Processing

• Module 1: Introduction to Digital Signal Processing – Discrete Time Signals – How Does Your PC Play Discrete-Time Sound? – The Karplus-Strong Algorithm – Complex Exponentials
• Module 2: Signal Processing and Vector Spaces – Vector Space – Signal Space – Bases – Subspace-Based Approximation
• Module 3: The Frequency Domain – The DFT as a Change of Basis – The Definition of DFT – Examples of DFT Calculation – Interpreting a DFT Plot – DFT Analysis – DFT Example – Analysis of Musical Instruments – DFT Synthesis – DFT Example: Tide Prediction in Venice – DFT Example: MP3 Compression – The Short-Time Fourier Transform – The Spectrogram – Time-Frequency Tiling – Discrete Fourier Series – Karplus-Strong Revisited and DFS – Karplus-Strong Revisited and DTFT – Existence and Properties of the DTFT – The DTFT as a Change of Basis – Sinusoidal Modulation – Tuning a Guitar
• Module 4: Linear Time-Invariant Filters – Convolution – The Moving Average Filter – The Leaky Integrator – Filter Classification in the Time Domain – Filter Stability – The Convolution Theorem – Examples of Frequency Response – Filter Classification in the Frequency Domain – The Ideal Lowpass Filter – Ideal Filters Derived from the Ideal Lowpass Filter – Demodulation Revisited – Impulse Truncation and Gibbs Phenomenon – Window Method – Frequency Sampling – The z-Transform – Region of Convergence and Stability – Intuitive IIR Design – Filter Specification – IIR Design – FIR design
• Module 5: The Continuous-Time Paradigm – Continuous-Time Signal Processing – Polynomial Interpolation – Local Interpolation – The Spectrum of Interpolated Signals – The Space of Band-Limited Functions – The Sampling Theorem – Raw Sampling – Sinusoidal Aliasing – Aliasing for Arbitrary Spectra – Sampling Strategies – Stochastic Signal Processing – Quantization
• Module 6: The Success Factors for Digital Communication – Constraints of the Analog Channel – The Design Problem – Upsampling – Fitting the Transmitter Spectrum – Noise and Probability of Error – PAM and QAM – Modulation and Demodulation – Design Example – Receiver Design – Delay Compensation – Adaptive Equalization – ADSL Design – Discrete Multitone Modulation

Publisher: EPFL Press

Author(s): Paolo Prandoni, Martin Vetterli

Collection: BOOCs EPFL

Published: 1 july 2017

Edition: 1^st edition

Media: eBook [PDF]

Pages count eBook [PDF]: 91

Size: 9.63 MB (PDF)

Language(s): English

EAN13 eBook [PDF]: 9782889144259