The Delta Sequence - - - [n]

107 In this chapter, we shall consider some fundamental concepts of linear systems analysis and use the power of MATLAB to undertake system analysis. The Delta Sequence - - - [n] The Delta Sequence plays an important role in the characterization of discrete-time linear time-invariant systems. The Delta Sequence , written as [n], is defined as 1,[ ]0,n = 00nn= Practice -The Delta Sequence - >> n=-30:30; % specify index n >> Delta =(n= =0); % define the Delta Sequence >>stem(n, Delta , filled ) % plot the Delta Sequence The Unit-step Sequence - - - u[n] The unit-step Sequence , written as [ ]u n, is defined as [ ]1,0,u n = 00nn < 108 Practice - The Unit-step Sequence - (1) >>n=-30:30; % specify index n >>u_step=(n>=0); % define the unit step Sequence >>stem(n, u_step, filled ) % plot the unit step Sequence Practice -The Unit-step Sequence - (2) Provide a MATLAB code to sketch the discrete-time Sequence x[n] specified by [][][][]231 53x nnnn =+ >>n=-30:30; % specify index n >>xn=2*(n= =0)+((n-1)= =0)-5*((n-3)= =0); % define the Sequence x[n] >>stem(n,xn; filled ).

The function ode45 is more accurate, but a bit slower than ode23 . Check List In order to solve a differential equation using MATLAB, the following items are required: You need to make a separate function file that contains the differential equation or system of differential equations.

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