Discrete Time Signals & Matlab

Discrete Time Signals & MatlabA Discrete -time signalxis a bi-in nite sequence,fxkg1k= an integer and is called thediscrete time. An equivalent way to thinkaboutxis that it is a function that assigns toksome real (or complex) graph called a time severalways of plotting time series, or Discrete data. The simplest is the stem let the Discrete signal bex=( 0 123 2010 );(1)where the rst non-zero entry corresponds tok=0andthelasttok= values ofklarger than 5 or less than 0,xk=0. Toplotxkfork= 2tok= 7, which will include some zeros, we use these commands. (See Figure 1.)x=[00-123-20100];dtx= -2:7;( Discrete time for x)stem(dtx,x) 202468 3 2 101234 Figure 1: A stem plot convolution of two Discrete -time signalsxandyisx y,whichisde ned by(x y)n:=1Xk= 1xn kyk:(2)As is the case with the continuous-time convolution,x y=y is of interest in Discrete -time signal processing because of itsconnection with linear, time-invariant lters.

Discrete Time Signals & Matlab A discrete-time signal x is a bi-in nite sequence, fx kg1 k=−1.Thevariable kis an integer and is called the discrete time.An equivalent way to think about x is that it is a function that assigns to k some real (or complex) number x k. The graph of x k vs. k is called a time series. Matlab provides several

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