How could I find the power of the periodic signal on my code assuming it is either a voltage or a current waveform with a normalized load resistance of 1 Ohm and plot it.

A = 1.15;

t = linspace(-2, 1, 1000);

a = exp(-0.5*t);

y = A*a.*(sin(2*pi*3*t)) .* (ustep(t+2)-ustep(t));

figure

plot(t, y, 'LineWidth', 2)

xlabel('t');

ylabel('y');

title('L2E2');

grid on;

env = envelope(y, 10, 'analytic'); % Signal Envelope

Lv = env > min(env); % Extract Signal Boundaries

repeats = 10;

yv = repmat(y(Lv), 1, repeats); % Replicate Signal

tv = (0:numel(yv)-1) * (t(2)-t(1)); % Create Corresponding Time Vector

figure

plot(tv,yv)

grid

xlim([min(tv) max(tv)])

title('L2E2')

xlabel('t')

ylabel('y')

Answer 1

[Nithin]

Hi Roberto,

I understand that you want to find the power of a given periodic signal with a normalized load resistance of 1 ohm and plot it.

To implement this, kindly refer to the following code snippet -

% Calculate the power of the signal

T = t(end) - t(1);  % Calculate the period of the signal

instantaneous_power = abs(y).^2;

power = (1/T) * trapz((t, instantaneous_power) / load_resistance));

disp(['The power of the signal is: ' num2str(power) ' Watts']);

To plot the power of the signal, kindly refer to the following code snippet -

Figure

plot(t, instantaneous_power, 'LineWidth', 2)

xlabel('t');

ylabel('Power');

title('Power of the Signal');

grid on;

For more information regarding “trapz” and “plot” functions, kindly refer to the following documentation:

https://in.mathworks.com/help/matlab/ref/trapz.html

https://in.mathworks.com/help/matlab/ref/plot.html

I hope this answer resolves your query.

Regards,

Nithin Kumar.