BeginnerTopic 5 of 101Signals, Control & Comms
Energy and power signals
Classified by whether total energy or average power is finite.
In depth
Energy E=∫‖x‖²dt (finite for pulses) and average power P=lim(1/2T)∫‖x‖²dt (finite for periodic signals) classify signals. A signal cannot be both energy and power type. Energy of a signal in time equals energy in frequency (Parseval).
Key points
- Energy signals have P=0
- Power signals have E=∞
- Units depend on the physical signal
ExampleA sinusoid of amplitude A has average power A²/2.
What is Energy and power signals?
Classified by whether total energy or average power is finite.
Why is it important to understand energy and power signals?
Energy and power classify signals by how they behave over all time, which determines the right analysis method.
What is an energy signal?
A signal with finite total energy over all time, which usually means it dies away, such as a single pulse.
What is a power signal?
A signal with finite average power but infinite energy, such as a sustained periodic wave.
How is Energy and power signals used in practice?
Typical applications include deciding whether a single pulse should be analysed by energy or a periodic wave by power, computing the average power of a sine wave for a load estimate and checking whether a transient signal has finite energy.
What should I learn before Energy and power signals?
Study "Even and odd signals" first (topic 4 of 101 in Signals, Control & Comms). It covers the groundwork this topic builds on.
What are the key points of Energy and power signals?
Energy signals have P=0. Power signals have E=∞. Units depend on the physical signal.
Can you give an example of Energy and power signals?
A sinusoid of amplitude A has average power A²/2.
What comes after Energy and power signals?
The next topic is "Basic signals", which builds directly on this one.
How difficult is Energy and power signals?
It is classed as Beginner in Signals, Control & Comms (topic 5 of 101). It is an entry-level topic. It relies only on basic school mathematics and the ideas introduced earlier in this discipline.