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24 Chapter 2 DISCRETE-TIME SIGNALS AND SYSTEMS
In MATLAB the function ones(1,N) generates a row vector of N ones.
It can be used to generate u(n) over afinite interval. Once again an
elegant approach is to use the logical relation n>=0. Toimplement
{
1, n ≥ n0
u(n − n 0 )=
0, n n = [0:10]; x = (0.9).^n;
4. Complex-valued exponential sequence:
x(n) =e (σ+jω0)n , ∀n
where σ produces an attenuation (if 0)
and ω 0 is the frequency in radians. A MATLAB function exp is
used to generate exponential sequences. For example, to generate
x(n)=exp[(2 + j3)n], 0 ≤ n ≤ 10, we will need the following MATLAB
script:
>> n = [0:10]; x = exp((2+3j)*n);
5. Sinusoidal sequence:
x(n) =A cos(ω 0 n + θ 0 ), ∀n
where A is an amplitude and θ 0 is the phase in radians. A MAT-
LAB function cos (or sin) isused to generate sinusoidal sequences.
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