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Free Lessons (4)
Introduction to Signals
The World of Signals
Signals Are Everywhere
What is Digital Signal Processing?
Applications of DSP
Basic Signals and Operations
How to Generate a Basic Sinusoid
A Unit Impulse Signal
Operations on Signals
How to Shift a Signal in Time Domain
The Relation between Time Shift and Phase
Circular Shift
Correlation between Signals
Activity 1
Complex Signals and the Frequency Domain
Where Do Complex Numbers Come From?
Simplify Complex Operations
Phase Rotations
Complex Sinusoids: The Doorway to DSP
Negative Frequencies
A Real Sinusoid: The DNA of Signals
Frequency Domain
Building Blocks of All Signals
Spectrum and Bandwidth
Spectral Shift in Wireless Communication
Quiz 1
Sampling a Signal
From Continuous Time to DiscreteTime
Why Do Spectral Aliases Arise?
Aliasing and the Sampling Theorem
Sample Rate and Discrete Frequency
The Idea of Orthogonality
Discrete Frequency Axis
Number Representation
Quiz 2
The Discrete Fourier Transform
DFT and the Mysteries of the Universe
DFT Definition
The Spectrum of the Unit Impulse
Reading Amplitude and Phase Plots
Periodicity in Frequency and Time Domains
A Rectangular Signal
Main Lobe Peak: Width and Zero Crossings
DFT Phase
DFT Leakage
Fast Fourier Transform
The Inverse Discrete Fourier Transform
Quiz 3
Fourier Transform Properties
DFT Linearity
Spectrum After the Time Shift I
Spectrum After the Time Shift II
The Significance of a Linear Phase
Frequency Shifting and Modulation
Parseval's Theorem
Symmetry Properties
Quiz 4
Digital Systems
What Is a System?
Linear Systems
Time Invariance
System Impulse Response
System Frequency Response
Decomposition of a Signal into Scaled Unit Impulses
Response of an LTI System
How to Implement Convolution
Simplified Convolution
Convolution of Complex Signals
The Role of Complex Sinusoids in System Characterization
Circular Convolution
Convolution and the Frequency Domain
Filter Classifications in the Time Domain
Filter Classifications in the Frequency Domain
Activity 2
Putting It All Together: An OFDM Modem
Introduction to Orthogonal Frequency Division Multiplexing
Digital Modulation
IFFT and FFT
Wireless Channel
The Cyclic Prefix
Equalization
Digital Demodulation
Quiz 5
Course Assessment
Demodulating an OFDM Signal Stream
The Last Words
Conclusion
Bibliography
Appendix
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