Howtosignalprocessing
- Why the conversion of signal from time domain to frequency domain is necessary?
- How do you convert frequency domain to time domain?
- What is the consequence in the time domain for having samples in the frequency domain?
- What are the disadvantages of frequency domain analysis?
Why the conversion of signal from time domain to frequency domain is necessary?
For mathematical systems governed by linear differential equations, a very important class of systems with many real-world applications, converting the description of the system from the time domain to a frequency domain converts the differential equations to algebraic equations, which are much easier to solve.
How do you convert frequency domain to time domain?
Each component in the frequency domain is a sine wave in the time domain, defined from t = - infinity to t = + infinity. To re-create the time-domain waveform, we take each of the sine waves described in the spectrum and add them up in the time domain at each time-interval point.
What is the consequence in the time domain for having samples in the frequency domain?
The answer is: yes, sampling in the frequency domain causes aliasing in the time domain, exactly like the dual case: sampling in the time domain causes aliasing in the frequency domain.
What are the disadvantages of frequency domain analysis?
DISADVANTAGES: Requires transfer function of plant be known. Difficult to infer all performance values. Hard to extract steady-state response (sinusoidal inputs).
