Signals and Systems Notes

Signals and Systems

The course number, 6.003, rendered as a reflection of themes in Signals and Systems. (Image courtesy of Prof. Alan Willsky.)

Course Highlights

This course features a full set of lecture notes. In addition, exams with solutions are available in the exams section.

Course Description

This course covers fundamentals of signal and system analysis, with applications drawn from filtering, audio and image processing, communications, and automatic control. Topics include convolution, Fourier series and transforms, sampling and discrete-time processing of continuous-time signals, modulation, Laplace and Z-transforms, and feedback systems.

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Lecture Notes

Available lecture notes are listed below.

SES # TOPICS R1 CT and DT Signals L1 Introduction (PDF) R2 CT and DT Signals (cont.) L2 CT and DT Systems (PDF) R3 CT and DT Systems L3 DT Convolution (PDF) R4 DT Convolution L4 CT Convolution, Impulses (PDF) R5 CT Convolution, Impulses L5 CT Fourier Series (PDF) R6 CT Fourier Series L6 CT and DT Fourier Series (PDF) R7 CT and DT Fourier Series L7 Frequency Response, Filtering ( PDF) R8 Fourier Series, Filtering L8 CT Fourier Transform (PDF) R9 CT Fourier Transform L9 CT and DT Fourier Transform (PDF) R10 CT and DT Fourier Transform L10 DT Fourier Transform (PDF) R11 DT Fourier Transform L11 Finish FT, Mag./Phase. of Freq. Responses (PDF) R12 FT and Review for Quiz R13 FT and Bode Plots L12 Effects of Phase, 1st and 2nd order DT Systems (PDF) R14 Bode Plots, 1st and 2nd order DT systems L13 Sample, Aliasing (PDF) R15 Sampling L14 DT Processing of CT Signals ( PDF) R16 DT Processing of CT Signals L15 Sinusoidal Modulation (PDF) R17 Amplitude Modulation L16 Topics in Modulation (PDF) R18 Topics in Modulation L17 Laplace Transforms (PDF) R19 Laplace Transforms L18 Laplace Transforms (cont.) (PDF) R20 Laplace Transforms (cont.) R21 Laplace Transforms (cont.) Review for Quiz R22 Laplace Transforms (cont.) L19 Use of Laplace Transforms (PDF) R23 Laplace Transforms (cont.) L20 Feedback (PDF) R24 Feedback Examples L21 Feedback z-Transforms (PDF) R25 Feedback z-Transforms L22 z-Transforms (PDF) R26 z-Transforms L23 z-Transforms (cont.) (PDF) R27 z-Transforms (cont.) L24 Course Wrap-up R28 Review