calculate if a discrete or continious signal is energy or power in matlab

To determine whether a discrete or continuous signal is an energy signal or a power signal in MATLAB, you can use the following steps:

  1. For a discrete signal, calculate the energy by summing the squared values of each sample:
x = [1, 2, 3, 4];  % example discrete signal
energy = sum(abs(x).^2);
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  1. For a discrete signal, calculate the power by averaging the squared values of each sample:
power = mean(abs(x).^2);
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  1. For a continuous signal, you need to calculate the energy and power over a given time interval.

First, calculate the energy by integrating the squared values of the signal over the given time interval:

t = 0:0.01:1;  % example time interval
x = sin(2*pi*5*t);  % example continuous signal
energy = trapz(t, abs(x).^2);
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  1. To calculate the power of a continuous signal, you need to find the time-average power. This can be done by integrating the squared values of the signal over the given time interval and then dividing by the length of the time interval:
power = energy / length(t);
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After performing these calculations, you can analyze whether the calculated energy or power values meet the criteria for energy and power signals, respectively.

  • If the energy of the signal is finite (energy < infinity) and nonzero, the signal is an energy signal.
  • If the power of the signal is finite (power < infinity) and nonzero, the signal is a power signal.

Note: These calculations assume that the signal is real-valued. For complex-valued signals, you need to consider the conjugate transpose of the signal in the calculations.

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