This video covers the Laplace transform, in particular its relation to the Fourier transform.  We will see cover regions of convergence, poles and zeroes, and inverse transforms using partial fraction expansion.

Lecture 20, The Laplace Transform

In this lecture we wil continue our discussion of properties of the z-transform.  Covers systems characterized by linear constant-coefficient difference equations, and transformations between continuous-time and discrete-time systems.

Lecture 23, Mapping Continuous-Time Filters to Discrete-Time Filters

This lecture covers the z-Transform with linear time-invariant systems.  We will discuss the relationship to the discrete-time Fourier trasform, region of convergence (ROC), and geometric evaluation of the Fourier transform from the pole-zero plot.

Lecture 22, The z-Transform

This video covers the open loop system and explores choices for feedback dynamics. We will use proportional and derivative feedback to reach pendulum stability. Demonstration of an inverted pendulum on a track, and the effect of changing system dynamics.

Lecture 26, Feedback Example: The Inverted Pendulum

This lecture we cover Butterworth filters, including: parameters, cutoff frequency, filter order, and distribution of poles. Also covers the design of a discrete-time Butterwoth filter using impulse invariance, and also using the bilinear transformation.

Lecture 24, Butterworth Filters

In this lecture we will discuss feedback systems, applications and consequences. Feedback can cause destabilization, but also be used to stabilize unstable systems through inverse system design, compensation for nonideal elements, and root-locus analysis.

Lecture 25, Feedback

This lecture we will discuss sampling to reconstruct the output of a sinusoidal oscillator and the effect of undersampling: aliasing. This includes a visit to Doc Harold Edgerton's MIT Strobe Laboratory to demonstrate cases where aliasing can be useful.

Lecture 16, Sampling

Characteristics of second-order systems, geometric evaluation of frequency responses from pole-zero plots, system function for first-order and second-order systems. Overdamped and underdamped systems, a demonstration of these systems for speech synthesis.

Lecture 21, Continuous-Time Second-Order Systems	

This lecture compares discrete-time and continuous-time sampling, and the differences between down-sampling (decimation) and up-sampling (reconstruction of original sequence).

Lecture 19, Discrete-Time Sampling

In this lecture we will learn how to use sampling to convert continuous-time signals into discrete-time signals for processing.  We will also demonstrate how to reconstruct a signal by processing an impulse train with a low-pass filter.

Lecture 18, Discrete-Time Processing of Continuous-Time Signals

Signals and Systems: an Introduction to Analog and Digital Signal Processing, 1987

The fundamentals are beautifully explained.

Very useful for beginners

This video covers the the unit step and impulse signals.  System properties are discussed, including memory, invertibility, causality, stability, and time invariance.

Lecture 3, Signals and Systems: Part II

This lecture video discusses representation of signals in terms of impulses.  Linear, time-invariant (LTI) systems, properties and representation.

Lecture 4, Convolution

In this lecture we will see how linear interpolation is used to reconstruct a signal from its sample.  Reconstructing a signal by processing an impulse train with a low-pass filter.

Lecture 17, Interpolation

In this lecture we will cover continuous-time modulation: sinusoidal amplitude modulation, synchronous and asynchronous demodulation.  We will discuss communication applications, such as frequency-division multiplexing and single-side band modulation.

Lecture 13, Continuous-Time Modulation

Discussion of complex exponential and sinusoidal modulation for discrete-time signals.  Introduction and analysis of pulse carriers in continuous-time, sampling theorem.

Lecture 15, Discrete-Time Modulation

The Best Multi-Part Documentaries, with documentaries on Obama, Federer vs Nadal, the making of Star Wars, Netflix vs Blockbuster and more. Add episodes you're interested into your queue below!

Best Multi-Part Documentaries

The best episodes for anyone looking to learn more about topics such as happiness, fulfillment, depression and psychology/mental health in general. With interviews with industry experts, personal stories of individuals, this topic has lessons applicable to everyone. Add episodes you're interested into your queue below!