Essentials of Signals & Systems: Part 1
Essentials of Signals & Systems: Part 2
How are the Fourier Series, Fourier Transform, DTFT, DFT, FFT, LT and ZT Related?
Signals are Everywhere
Decibels and 3dB
Time Scaling and Shifting a Sinusoid
Signal Power and Energy
How to Understand the Delta Impulse Function
Sum of Delta Functions
Why are there Two Definitions of the Sinc Function?
What is a Linear Time Invariant (LTI) System?
What Does "Linear Phase" Mean?
When is Linear Phase Important?
Discrete Time Signals
Discrete Time Basis Functions
How to Understand Convolution
What is Convolution? And Two Examples where it arises
Convolution Equation explained
Convolution Square with Rectangle
Convolution with Delta
Convolution Square with Exponential
Convolution of Two Exponentials
Convolution using the Fourier Transform - Example
Discrete Time Convolution Example
Discrete Time System Output Example
Fourier Series and Eigen Functions of LTI Systems
What is the Fourier Transform?
Visualising the Fourier Transform
What is the Fourier Transform used for?
Fourier Transform Equation Explained
What are the Units of the Fourier Transform?
Orthogonal Basis Functions in the Fourier Transform
Fourier Transform of cos Function
Fourier Transform of cos with Phase Shift
Why are Sinc and Square a Fourier Transform Pair?
What is Negative Frequency?
Why do Periodic Signals have Discrete Frequency Spectra?
Fourier Transform of Sum of Delta Functions
Why is the Fourier TF of a Sum of Deltas also a Sum of Deltas?
Fourier Transform and IFT: What's the difference?
Continuous Time and Discrete Time Fourier Transforms
Fourier Transforms of Discrete Time Signals are not Discrete
Time and Frequency Scaling
System Example with cos Input
2D Fourier Transform Explained with Examples
Is Phase important in the Fourier Transform?
What is the Gibbs Phenomenon?
Fourier Transform Property Examples for Rect and Sinc
Fourier Transform Duality Rect and Sinc Functions
Why is a Time Shift also a Phase Rotation in Frequency?
Amplitude Modulation AM Radio Signal Transmission
What is the Bandwidth of a Digital Clock Waveform?
What is the Fourier Transform of a Rectified Sinusoid?
How does the DFT/FFT Relate to real Signals?
DFT/FFT of a Sinusoid
How do the Frequency, Sample Rate and Duration affect the DFT of a Sinusoid?
Laplace Transform Equation Explained
Laplace Transform Explained with an Example
Laplace Transform Region of Convergence Explained
Laplace Transform of Exponential Function
Laplace Transform of Two Exponentials
Laplace Transform of Exponential of Mod Time
Laplace Transform Electric Circuit Example
When do you Need the Laplace Transform?
How do Poles and Zeros affect the Laplace Transform and the Fourier Transform?
Why are Poles Negative in Laplace Transform of Real Stable LTI Systems
Laplace Transform Solution to a Feedback System
Sampling Signals: Introduction Lecture
What is Aliasing?
How to Understand Aliasing in Digital Sampling
Aliasing Ambiguity Explained
How are Signals Reconstructed from Digital Samples?
What is a 1-Bit DAC and How Does it Work?
Sampling Discrete Time Signals
Discrete Time Sampling Example
Decimation of Discrete Time Signals
Interpolation of Discrete Time Signals
Understanding Aliasing in Digital Down Sampling
Sampling Bandlimited Signals: Why are the Samples "Complex”?
Typical Exam Question on Sampling
Which Way is the Propeller Spinning?
What is the Z Transform?
Z Transform Region of Convergence Explained
Z Transform Example