Design of filtering and control systems is usually easier in the frequency domain than in the time domain.
time domain is respected to the time and frequency domain is respected to the frequency
to find their ESD and PSD
Convolution in the time domain is equivalent to multiplication in the frequency domain.
We need small values of delta t as the smaller is the time interval better resolution of signal is possible. Also, the highest frequency in frequency domain is inversely proportional to delta t. So higher delta t in time domain results in higher the maximum frequency in frequency domain.
Convolution in the time domain is equivalent to multiplication in the frequency domain.
Time domain refers to analyzing signals in the time dimension, showing how the signal changes over time. Frequency domain, on the other hand, focuses on analyzing signals in terms of their frequency content, representing how different frequencies contribute to the overall signal. Time domain analysis is useful for understanding signal behavior over time, while frequency domain analysis helps identify specific frequency components in a signal.
If we need to add two signals in time domain, we perform convolution. A better way, is to convert the two signals from time domain to frequency domain. This can be achieved by FAST FOURIER TRANFORM. Once both the signals have been converted to frequency domain, they can simply be multiplied. Since Convolution in time domain is similar to multiplying in Frequency domain. Once both the signals have been multiplied, they can be converted back to time domain by Inverse Fourier Transform method. Thus achieving accurate results.
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.
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.....
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
frequency transfer function deals with transfer in frequency domain, transfer function alone can be referring to any type of transfer in different domain e.g time domain
we use fourier transform to convert our signal form time domain to frequency domain. This tells us how much a certain frequency is involve in our signal. It also gives us many information that we cannot get from time domain. And we can easily compare signals in frequency domain.