Final answer:
To compute the energy and power of signals, you can calculate the energy by integrating the square of the signal for continuous signals or summing the squares of the samples for discrete signals. Power is the rate at which energy is transferred or consumed, and it can be calculated by dividing the total energy by the time duration. Energy signals have finite energy, while power signals have finite power.
Step-by-step explanation:
The energy of a signal can be calculated using different methods depending on whether the signal is continuous or discrete. For a continuous signal, the energy can be obtained by integrating the square of the signal over its entire range. For a discrete signal, the energy can be obtained by summing the squares of the samples. Power, on the other hand, is the rate at which energy is transferred or consumed. It can be calculated by dividing the total energy by the time duration.
For example, let's consider a continuous signal given by y(t) = 2t, where -1 ≤ t ≤ 1. To calculate the energy of this signal, we integrate the square of the signal over its range: ∫[(-1) to 1] (2t)^2 dt = ∫[(-1) to 1] 4t^2 dt = 8/3. To calculate the power, we divide the energy by the time duration: 8/3 / 2 = 4/3.
In terms of classification, a signal is considered an energy signal if its energy is finite, i.e., E < ∞. Conversely, a signal is considered a power signal if its power is finite, i.e., P < ∞.