Convolution Integral - Definition, Steps and Properties with proof

Convolution Integral:

In general, Convolution is defined as the mathematical way of combining two signal to produce a new signal.

y(t) = x(t) * h(t)

Steps Involved in Convolution Operation:

• Change of Time Index
• Folding
• Shifting
• Multiplication
• Integration

Properties of Convolution Integral:

• Commutative Property
• Associative Property
• Distributive Property
• Shift Property
• Width Property
• Convolution with Impulse Signal
• Convolution with unit step signal

Youtube video for this lecture is available: https://www.youtube.com/watch?v=7JOUbbJCygw