1. What Is Signal Energy?

Signal energy represents the total energy contained in a signal over its entire duration. For continuous-time signals, it's calculated by integrating the squared magnitude of the signal over all time.

2. How Does The Calculator Work?

The calculator uses the signal energy formula:

Where:

• \( E \) — Signal energy
• \( s(t) \) — Signal function
• \( |s(t)|^2 \) — Squared magnitude of the signal
• \( \int_{-\infty}^{\infty} \) — Integral over all time

Explanation: The formula calculates the total energy by summing the squared amplitude of the signal at every point in time.

3. Importance Of Signal Energy Calculation

Details: Signal energy is fundamental in signal processing for analyzing signal strength, comparing different signals, and determining system requirements for signal transmission and processing.

4. Using The Calculator

Tips: Enter the mathematical expression for your signal function s(t), and specify the integration limits. Use standard mathematical notation and functions.

5. Frequently Asked Questions (FAQ)

Q1: What's the difference between signal energy and signal power?
A: Energy signals have finite energy, while power signals have finite power. Energy is calculated over all time, while power is the energy per unit time.

Q2: Can this calculator handle complex signals?
A: The formula uses |s(t)|² which works for both real and complex signals by taking the magnitude squared.

Q3: What are some common signal energy calculations?
A: Common examples include calculating energy of rectangular pulses, exponential signals, and sinusoidal signals over specific intervals.

Q4: How do I represent infinite limits?
A: Use "-∞" for negative infinity and "∞" for positive infinity in the limit fields.

Q5: What mathematical notation does the calculator support?
A: The calculator supports standard mathematical functions like sin, cos, exp, log, etc. Use t as the time variable.