Explanation: BIBO stands for Bounded input, Bounded Output. It gives the stability of a system through a simple explanation that a system will be stable if it’s both input and output are bounded i.e it is not infinity.

i.e |x(t)|≤Bx<∞ implies |y(t)≤Bx<∞.

i.e |x(t)|≤Bx<∞.

Explanation: When small inputs lead to output responses that do not tend to infinity. The output of such systems does not diverge if the input does not diverge.

As tends to infinity, the output also tends to infinity. That is it is unbounded. So it is unstable.

Explanation: Analysis in the time domain by done in how signals behave over time. That is, a system or a signal is studied in accordance to how it changes itself overall in time.

Explanation: Though this answer is a bit confusing frequency domain is defined as an analysis of a signal or a system with respect to its frequency. This concept has emerged from the transformations and the ‘spectrum’ concept.

Explanation: Time domain analysis is much tedious and difficult to perform when it comes to lengthy solvable problems. Whereas, in a frequency domain, it is very quick to perform. Even stability is easily attained in frequency domain analysis.

Explanation: Fourier series, Fourier transform, Laplace transform, z-transform are some tools to convert a system from a time domain to frequency domain analysis to make it simpler. In fact, the concept of frequency domain has emerged from these transformations. It was first given by Joseph Fourier.

Explanation: True, one of the main limitations of time domain analysis is the noise and frequency. This is because it is easier in the frequency domain to read it and detect it and solve it. Time domain analysis is much tedious and difficult to perform when it comes to lengthy solvable problems.