When are two signals orthogonal?

Two signals are orthogonal if 〈y(t),x(t)〉 = 0. (Pythagorean Theorem). If signals x(t) and y(t) are orthogonal and if z(t) = x(t) + y(t) then Ez = Ex + Ey. x(t)y(t)dt = 0.

1. What does it mean if two signals are orthogonal?
2. What are orthogonality conditions?
3. What is orthogonal and orthonormal signals?
4. When two vectors are orthonormal?

What does it mean if two signals are orthogonal?

Any two signals say 500Hz and 1000Hz (On a constraint that both frequencies are multiple of its fundamental here lets say 100Hz) ,when both are mixed the resultant wave obtained is said to be orthogonal. Meaning: Orthogonal means having exactly 90 degree shift between those 2 signals.

What are orthogonality conditions?

Definition. We say that 2 vectors are orthogonal if they are perpendicular to each other. i.e. the dot product of the two vectors is zero.

What is orthogonal and orthonormal signals?

Orthogonal means that the inner product is zero. For example, in the case of using dot product as your inner product, two perpendicular vectors are orthogonal. Orthonormal means these vectors have been normalized so that their length is 1.

When two vectors are orthonormal?

Orthogonal Vectors: Two vectors are orthogonal to each other when their dot product is 0.