Matlab functions

subplot(3,3,1);

stem([1;zeros(49,1)]);

title('Dirac pulse')

subplot(3,3,2); stem(ones(50,1));

title('Step function')

subplot(3,3,3);

stem([ones(1,5),zeros(1,3)])

title('Rectangular pulse')

subplot(3,3,4);

stem(sin(2*pi/8*(0:15)))

title('Sinusoidal signal')

subplot(3,3,5); stem(sinc(0:0.25:8));

title('"Sinc" signal')

subplot(3,3,6); stem(exp(-(0:15)));

title('e^-^n signal')

subplot(3,3,7);

stem(pow2(-0.5*(0:15)))

title('2^-^0^.^5^n signal')

subplot(3,3,8); stem(3.^(0:15));

title('3^n signal')

subplot(3,3,9); stem(randn(1,16));

title('Gaussian random signal');

%Generate the following signal:

%x(n) = K ⋅ exp[c ⋅ n] ,

%where: K = 2, c = −1/12 + jπ / 6 , n∈􀁠 and n = 0..40 .

c = -(1/12)+(pi/6)*i;

K = 2; n = 0:40;

x = K*exp(c*n);

subplot(2,1,1); stem(n,real(x));

xlabel('Time index n');

ylabel('Amplitude');

title('Real part');

subplot(2,1,2); stem(n,imag(x));

xlabel('Time index n');

ylabel('Amplitude');

title('Imaginary part');