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

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

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Signals and Systems was developed in 1987 as a distance-education course for engineers. An introduction to analog and digital signal processing, including discrete- and continuous-time signals, linear time-invariant systems, feedback, and data processing.

Alan V. Oppenheim


    • Jun 23, 2015 LATEST EPISODE
    • infrequent NEW EPISODES
    • 46m AVG DURATION
    • 26 EPISODES


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

    Lecture 20, The Laplace Transform

    Play Episode Listen Later Jun 23, 2015 54:50


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

    Play Episode Listen Later Jun 23, 2015 50:27


    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 22, The z-Transform

    Play Episode Listen Later Jun 23, 2015 51:43


    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 26, Feedback Example: The Inverted Pendulum

    Play Episode Listen Later Jun 23, 2015 34:42


    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 24, Butterworth Filters

    Play Episode Listen Later Jun 23, 2015 45:13


    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 25, Feedback

    Play Episode Listen Later Jun 23, 2015 44:54


    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 16, Sampling

    Play Episode Listen Later Jun 23, 2015 46:09


    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 21, Continuous-Time Second-Order Systems

    Play Episode Listen Later Jun 23, 2015 42:53


    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 19, Discrete-Time Sampling

    Play Episode Listen Later Jun 23, 2015 49:24


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

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

    Play Episode Listen Later Jun 23, 2015 39:40


    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 17, Interpolation

    Play Episode Listen Later Jun 23, 2015 52:36


    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 13, Continuous-Time Modulation

    Play Episode Listen Later Jun 23, 2015 53:47


    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 15, Discrete-Time Modulation

    Play Episode Listen Later Jun 23, 2015 42:56


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

    Lecture 6, Systems Represented by Differential Equations

    Play Episode Listen Later Jun 23, 2015 47:15


    This lecture covers mathematical representation of signals and systems, including transformation of variables and basic properties of common signals.

    Lecture 14, Demonstration of Amplitude Modulation

    Play Episode Listen Later Jun 23, 2015 35:43


    Lecture 14, Demonstration of Amplitude Modulation. Demonstration with Professor Sandy Hill from the University of Massachusetts at Amherst. RC audio generator, oscilloscope, and spectrum analyzer demonstrations with speech and radio.

    Lecture 12, Filtering

    Play Episode Listen Later Jun 23, 2015 41:55


    Demonstration: a look at filtering in a commercial audio control room. Covers many types of filters: selective filters, moving average filters, low-pass and high-pass filters, and commercial applications.

    Lecture 11, Discrete-Time Fourier Transform

    Play Episode Listen Later Jun 23, 2015 55:58


    This video gives a summary of relationships between continuous-time and discrete-time Fourier series and Fourier transforms.

    Lecture 10, Discrete-Time Fourier Series

    Play Episode Listen Later Jun 23, 2015 50:21


    This lecture will discuss the similarities and differences with discrete-time and continuous-time Fourier series. Analysis and synthesis equations, and approximation of periodic and aperiodic signals.

    Lecture 7, Continuous-Time Fourier Series

    Play Episode Listen Later Jun 23, 2015 51:07


    This video lecture discusses continuous-time Fourier serires, and the response of continuous-time LTI systems to complex exponentials. Also covered: the eigenfunction property.

    Lecture 9, Fourier Transform Properties

    Play Episode Listen Later Jun 23, 2015 49:24


    This video covers Fourier transofrm properties, including linearity, symmetry, time shifting, differentiation, and integration. We will also cover convolution and modulation properties and how they can be used for filtering, modulation, and sampling.

    Lecture 8, Continuous-Time Fourier Transform

    Play Episode Listen Later Jun 23, 2015 35:28


    This video covers many uses and applications of Fourier transforms in signal processing. We will derive the Fourier transform representation of aperiodic signals, and examine the relationship between Fourier series and Fourier transforms.

    Lecture 5, Properties of Linear, Time-invariant Systems

    Play Episode Listen Later Jun 23, 2015 55:02


    This video lecture covers properties of linear, time-invariant systems, including the commutative, associative, and distributive properties. Also covers systems in cascade and parallel combinations....

    Lecture 4, Convolution

    Play Episode Listen Later Jun 23, 2015 52:17


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

    Lecture 3, Signals and Systems: Part II

    Play Episode Listen Later Jun 23, 2015 53:09


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

    Lecture 2, Signals and Systems: Part I

    Play Episode Listen Later Jun 23, 2015 44:07


    This lecture covers mathematical representation of signals and systems, including transformation of variables and basic properties of common signals.

    Lecture 1, Introduction

    Play Episode Listen Later Jun 23, 2015 30:25


    This lecture gives a general introduction to the Signals and Systems course, with demonstrations of a feedback system used to stabilize an inverted pendulum and digital signal processing used to remove distortions from a musical recording.

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