6.01 Lecture Notes - Lecture 1: Linear Algebra, Block Diagram, Associative Property
13 Apr 2016
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Document Summary
Intellectual themes are developed in context of a mobile robot. The goal is to convey a distinct perspective about engineering. Approach: focus on key concepts and pursue in depth. We will use programming throughout 6. 01: as an essential tool for engineers and scientists to facilitate learning. Programming is intrinsically interesting, exemplifying the two most important themes in 6. 01: abstraction and modularity. Represent a system (physical, mathematical, or computational) by the way it transforms input signal into an output signal. Difference equation: y[n] = x[n] - x[n-1] block diagram: Lumping all of the samples (possibly in nite) into a single object the signal simpli es its manipulation. Representing lists of numbers as vectors in linear algebra. Nodes represent whole signals ( i. e. x and y) Delay: shift whole signal to the right one time step. Y = rx where x represents the whole input signal (x[n] for all n) and y represents the whole output signal (y[n] for all n)
