ESE 305 Study Guide - Final Guide: Linear Time-Invariant Theory, Step Function, Convolution

• School: Stony Brook University
• Department: Electrical Engineering
• Course: ESE 305
• Professor: Paolo Banelli

Document Summary

Some discrete-time signals: the unit impulse is given by. Here n denotes the discrete-time index: the unit step function is given by u[n k] = ( 0, Some continuous-time signals cos ( ) cos ( ) = sin ( ) sin ( ) = cos ( ) sin ( ) = [cos ( + ) + cos ( )] [cos ( ) cos ( + )] [sin ( + ) sin ( )] 1+r+r2+. rn 1 = rn = ( n, Xn=0 r = 1, r 6= 1: the dirac delta function is de ned by. Here ta denotes a constant time. t 6= ta, (1) Discrete-time systems: the sifting property of the delta function. Z f (t) (t ta) dt = f (ta) : the unit step function is given by u (t ta) = ( 0, 1, t < ta, t ta: the rectangular pulse function is de ned by p2a (t) = ( 1,