Differentiate Energy and Power Signals.

To differentiate between energy and power signals, we need to understand their definitions and characteristics.

1. Energy Signal: An energy signal is a signal that has finite energy over a given time interval. Mathematically, an energy signal can be represented as x(t), where t represents time. The energy of a signal x(t) is given by the integral of the squared magnitude of the signal over the entire time interval. In other words, the energy of a signal is the area under the squared magnitude curve.

2. Power Signal: A power signal is a signal that has finite power over a given time interval. Mathematically, a power signal can be represented as x(t), where t represents time. The power of a signal x(t) is given by the average value of the squared magnitude of the signal over the entire time interval. In other words, the power of a signal is the average power delivered by the signal.

Now, let's summarize the differences between energy and power signals:

Energy Signal:

• Has finite energy over a given time interval.
• The energy of a signal is obtained by integrating the squared magnitude of the signal over the entire time interval.
• The energy of a signal is always finite.
• Examples of energy signals include a finite duration pulse or a decaying exponential signal.

Power Signal:

• Has finite power over a given time interval.
• The power of a signal is obtained by averaging the squared magnitude of the signal over the entire time interval.
• The power of a signal can be finite or infinite.
• Examples of power signals include a sinusoidal signal or a constant signal.

In summary, the main difference between energy and power signals lies in their definitions and the way their energy or power is calculated. Energy signals have finite energy, while power signals have finite power.