with the help of laplace transform the calculation part can be reduced in frequency domain .In time domain differential equations are used and solution is cumbersome.
advantage is that if we represent a composite signal in frequency domain........then we clearly see that how much signals are involved in composite signal and their separate peak values
Time domain basically means plotting a curve of amplitude over thr time axis. A given function or signal can be converted between the time and frequency domains with a pair of mathematical operators called a transform. An example is the Fourier transform, which decomposes a function into the sum of a (potentially infinite) number of sine wave frequency components. The 'spectrum' of frequency components is the frequency domain representation of the signal. The inverse Fourier transform converts the frequency domain function back to a time function.
Frequency Analysis is much easier. Some equations can't be solved in time domain while they can be solved easily in frequency domain. When moving to frequency domain you change the differential equation into algebric equation. Also, in frequency domain it is easy to apply filters and compute their specifications. In telecommunications, using multiple frequencies enables more than one user to use the service at the same time if having different frequency, this enables less delay for the signal. Also, it would be easier, when using frequency domain- to give each user, or each standard (GSM, Satellite ...) it's own frequency range without interfering. This can't be done in time domain
the use of frequency domain will prove better results were the latency is not a problem. also u can do batch processing in frequency domain hence the overall efficiency of hardware can be effectively used.....
You use the fourier series to convert a signal from the time domain into the frequency domain, and vice versa. This is done by computing the sine waves that would be required to create the original signal. When done, you get a spectrogram, showing the intensity of each frequency (frequency domain) rather than the signal level over time (time domain).
Large frequency resolution and low frequency of operation
Frequency modulation have some advantages over amplitude modulation, FM is not sensitive to the amplitude noise, and have high efficient use of transmitted power
It is a frequency-domain quantity. In Basic Engineering Circuit Analysis by Irwin, the time domain is written as A*cos(wt+/-THETA) and the frequency domain is written as A*phasor(+/-THETA).A series of phasor measurements, taken at regular intervals over time, can sometimes be useful when studying systems subject to variations in frequency. The electric power system is one example. The power grid nominally operates at 50Hz (or 60Hz), but the actual frequency is constantly changing around this nominal operating point. In this application, each individual phasor measurement represents a frequency domain quantity but a time series of phasor measurements is analyzed using time-domain techniques. (http://en.wikipedia.org/wiki/Synchrophasor)
Dotplot allow you to identify original values
we can use frequency domain for finding phase of the input signal and magnitud of the instrument. we can use frequency domain for finding phase of the input signal and magnitud of the instrument.
because visual representation of any thing is more understandable than a numeric presentation.
Dunno but would be helpful if someone knew cause Im in maths and need to know