How the frequency-domain correlates to the time domain representation?
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 frequencies. The “spectrum” of frequency components is the frequency-domain representation of the signal.
Why is frequency-domain more useful than time domain?
In this case, the frequency-domain analysis gives a better understanding than time domain analysis because music is tacitly based on the breaking down of intricate sounds into their separate component frequencies. An oscilloscope is an invaluable tool for detecting signals.
How is cross correlation determined in frequency domain?
Intuitive explanation of cross-correlation in frequency domain. According to the cross-correlation theorem : the cross-correlation between two signals is equal to the product of fourier transform of one signal multiplied by complex conjugate of fourier transform of another signal.
Is there a correlation between time and frequency?
Your use of the word “correlation” does not make sense here, because there is no correlation between the time domain and the frequency response of a signal. None. Even if you could compute a correlation, it would be nonsensical and useless.
Is the frequency domain the same as time domain?
About the filtering operation specifically : time domain and frequency domain operations are equivalent. If you do a time domain filtering, or any mathematical operation (under trivial notations) : ( 2 π f 0 t) (multiplication) which in frequency domain is equivalent to R ( f) ( 1 / 2) ∗ ( δ ( f − f 0) + δ ( f + f 0)) (convolution).
Which is the modulated signal in the frequency domain?
The modulation take out data signal, M ( t), and multiplies it with our carrier frequency, lets say cos ( 2 π f t), and that’s our modulated signal.