What is the relation between time, frequency, spatial and spectral domains?

1. What is the relationship between frequency domain specifications and time domain specifications?
2. How are the time and frequency domain signals related?
3. What is the relation between spatial domain filtering and frequency domain filtering?
4. What is the difference between spatial domain and time domain?

What is the relationship between frequency domain specifications and time domain specifications?

The frequency-domain refers to the analysis of mathematical functions or signals with respect to frequency, rather than time Put simply, a time-domain graph shows how a signal changes over time, whereas a frequency-domain graph shows how much of the signal lies within each given frequency band over a range of ...

How are the time and frequency domain signals related?

As stated earlier, a time-domain graph displays the changes in a signal over a span of time, and frequency domain displays how much of the signal exists within a given frequency band concerning a range of frequencies.

What is the relation between spatial domain filtering and frequency domain filtering?

Frequency filters process an image in the frequency domain. The image is Fourier transformed, multiplied with the filter function and then re-transformed into the spatial domain. Attenuating high frequencies results in a smoother image in the spatial domain, attenuating low frequencies enhances the edges.

What is the difference between spatial domain and time domain?

In general, the expressions "time domain" and "spatial domain" refer to the domain of the original or given signal, which can 1D or 2D (or of higher dimensions). The expression "spatial domain" can be used to more specifically refer to the domain of a given image (which is a subset of the 2D).