Signals and Systems - Electrical Engineering

Problems 53

Table 0.2Basic Symbolic Matlab Functions

Function Operation

Calculus diff differentiate

int integrate

limit limit

taylor Taylor series

symsum summation

Simplification simplify simplify

expand expand

factor factor

simple find shortest form

subs symbolic substitution

Solving equations solve solve algebraic equations

dsolve solve differential equations

Transforms fourier Fourier transform

ifourier inverse Fourier transform

laplace Laplace transform

ilaplace inverse Laplace transform

ztrans Z-transform

iztrans inverse Z-transform

Symbolic operations sym create symbolic objects

syms create symbolic objects

pretty make pretty expression

Special functions dirac Dirac or delta function

heaviside unit-step function

Plotting ezplot function plotter

ezpolar polar coordinate plotter

ezcontour contour plotter

ezsurf surface plotter

ezmesh mesh (surface) plotter

Problems............................................................................................

For the problems requiring implementation in MATLAB, write scripts or functions to solve them
numerically or symbolically. Label the axes of the plots, give a title, and uselegendto identify dif-
ferent signals in a plot. To save space usesubplotto put several plots into one. To do the problem
numerically, sample analog signals with a smallTs.