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What do you mean by frequency domain representation of a signal?
The frequency domain representation of a periodic signal is a line spectrum. It can only have non-zero values at DC, the fundamental frequency, and harmonics of the fundamental. Because periodic signals have no beginning or end, non-zero periodic signals have infinite energy but generally have finite power.
What is called frequency domain?
The Frequency Domain refers to the analytic space in which mathematical functions or signals are conveyed in terms of frequency, rather than time. The frequency-domain representation of a signal is known as the “spectrum” of frequency components.
How are periodic signals represented in the frequency domain?
The frequency domain representation of a periodic signal is a line spectrum. It can only have non-zero values at DC, the fundamental frequency, and harmonics of the fundamental. Because periodic signals have no beginning or end, non-zero periodic signals have infinite energy but generally have finite power.
How is frequency domain analysis used in real life?
The frequency domain representation of a signal allows you to observe several characteristics of the signal that are either not easy to see, or not visible at all when you look at the signal in the time domain. For instance, frequency-domain analysis becomes useful when you are looking for cyclic behavior of a signal.
How are voltages represented in the time domain?
Electrical signals have both time and frequency domain representations. In the time domain, voltage or current is expressed as a function of time as illustrated in Figure 1. Most people are relatively comfortable with time domain representations of signals.
How to write periodic signal in real time?
A periodic signal with period T can be written, If x (t) is a real time domain signal, the coefficients c n and c -n are complex conjugates (i.e. ) and we can rewrite Equation (7) in the form, x(t) = c0 + ∞ ∑ n = 1(cnejn2πf0t + c ∗ ne − jn2πf0t) = c0 + ∞ ∑ n = 1(|cn|ejn2πf0t + ϕn + |cn|e − (jn2πf0t + ϕn)) = c0 + ∞ ∑ n = 12|cn|cos(n2πf0t + ϕn).