Integration of square wave

1. What is the integration of a square wave?
2. Why is integration of square wave is Triangle?
3. What is the integration of triangular wave?
4. What is the derivative of a square wave?

What is the integration of a square wave?

Integration of a Square Wave

The integrator has converted the square wave input to a triangular wave at the output, the slope of this wave describes the increase in area beneath the square wave (moving from left to right).

Why is integration of square wave is Triangle?

If you integrate a square wave, which is discontinuous at the steps, you get a function whose slope is discontinuous. This is a triangular wave.

What is the integration of triangular wave?

Detailed Solution. Triangular wave shape is obtained by integrating a square wave. Square wave shape is obtained by differentiating a triangular wave.

What is the derivative of a square wave?

Here's a square wave. It's derivative will be zero wherever it is constant, and an impulse of the appropriate sign wherever it jumps. Note that the absolute value of the weight of each impulse is , because the square wave jumps from to (change by ) or to (change of ).