How to check if a signal is power signal or energy signal?

If x(t) has 0 < E < ∞ and P = 0 , then it is a energy signal, where E is the energy and P is the average power of signal x(t). The signal which has finite average power and infinite energy is called as power signal.

1. Is this signal an energy signal?
2. What are the conditions for energy and power signal?
3. What determines the power of a signal?
4. Is every periodic signal a power signal?

Is this signal an energy signal?

A signal is referred to as an energy signal if and only if its total energy E is finite; in other words, when we have . A necessary condition for the energy to be finite is that the signal amplitude must approach zero as time approaches plus or minus infinity (i.e., as .

What are the conditions for energy and power signal?

If the signal energy over one period is larger than zero but finite, then the total energy is infinite and the signal power is finite. Therefore, the signal is a power signal. If the signal energy in one period is infinite, then both the power and the total energy are infinite.

What determines the power of a signal?

The power of a signal is the sum of the absolute squares of its time-domain samples divided by the signal length, or, equivalently, the square of its RMS level. The function bandpower allows you to estimate signal power in one step.

Is every periodic signal a power signal?

Periodic signals are power signals; nonperiodic signals (pulses) are energy signals. When both power and energy are infinite, the signal is neither a power nor an energy signal.