Orthogonal signals in frequency and time domains [closed]

1. What is the relation between time-domain and frequency domain?
2. What is condition for two signals to be orthogonal?
3. What does it mean for signals to be orthogonal?
4. How are signals represented in time and frequency domain?

What is the relation between time-domain and frequency domain?

Parseval's theorem gives the relationship between the squared integral of a time function and that of its Fourier transform, namely, the energy in the time domain is equal to the energy in the frequency domain.

What is condition for two signals to be orthogonal?

If C₁₂=0, then two signals are said to be orthogonal.

What does it mean for signals to be orthogonal?

In general, a signal set is said to be an orthogonal set if (s_k,s_j) = 0 for all k ≠ j. A binary signal set is antipodal if s₀(t) = −s₁ (t) for all t in the interval [0,T]. Antipodal signals have equal energy.

How are signals represented in time and frequency domain?

Time domain representation – In frequency domain, a signal is represented by its frequency spectrum. To obtain frequency spectrum of a signal, Fourier series and Fourier transformation are used. Fourier series is used to get frequency spectrum of time-domain signal, when the signal is periodic function of time.