Demonstration of mathematical signal operations

Addition: Adding two signals together point-wise. ( 𝑓 + 𝑔 ) ( 𝑡 ) = 𝑓 ( 𝑡 ) + 𝑔 ( 𝑡 ) (f+g)(t)=f(t)+g(t)

1. Addition: When you add two signals together, you're simply combining their values at each point in time. This operation is useful for combining different sources of signals or adding noise.
2. Subtraction: Subtraction involves taking one signal away from another. It's often used in noise reduction or to isolate specific components of a signal.
3. Multiplication (Scalar): Scaling a signal by a scalar value changes its magnitude but not its shape. This operation is useful for adjusting the amplitude of a signal.
4. Multiplication (Point-wise): Point-wise multiplication multiplies the values of two signals at each corresponding point in time. It's commonly used in modulation techniques or filtering processes.