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Home » Blog » Time Domain Analysis vs Frequency Domain Analysis: A Guide and
Comparison
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TIME DOMAIN ANALYSIS VS FREQUENCY DOMAIN ANALYSIS: A GUIDE AND COMPARISON

January 21, 2020 Cadence PCB Solutions

 

The word analysis garners both provocations of thought and represents the
epitome of illumination in terms of understanding. In essence, it is the process
by which we discover or obtain a greater understanding of a person, place, or
thing. Moreover, it is our analysis skills that usually keeps us safe, provided
we actually use it. I recall an incident where my best friend from high school
failed to do his proper analysis despite seeing all of the warning signs.
Exhibit  A, large dog bowl, half-full. Exhibit B, large sign, “Beware of dog.”
Finally, exhibit C, front yard completely fenced.

However, despite my warnings and the multitude of highly visible warning signs,
he decides to open the gate and attempt to make his quota (a fundraiser for
uniforms). As I witnessed this disaster waiting to happen safely perched on my
21-speed road bike, it happened. It was like a scene from Cujo, except it seemed
to be in slow motion like the Matrix. Needless to say, he was not the “One.”

I begin pedaling for dear life while I hear a few screams behind me followed by
some intense growling from a Doberman. Luckily, no one was hurt, unless you
count my stomach ache from all of the laughter. However, failure to use analysis
tools in electronics is almost always detrimental. Take, for example, time
domain analysis and frequency domain analysis; these are two such tools that can
provide invaluable signal insight if properly used.


WHAT IS TIME DOMAIN ANALYSIS?

A time domain analysis is an analysis of physical signals, mathematical
functions, or time series of economic or environmental data, in reference to
time. Also, in the time domain, the signal or function's value is understood for
all real numbers at various separate instances in the case of discrete-time or
the case of continuous-time. Furthermore, an oscilloscope is a tool commonly
used to see real-world signals in the time domain.

Moreover, a time-domain graph can show how a signal changes with time, whereas a
frequency-domain graph will show how much of the signal lies within each given
frequency band over a range of frequencies.

In general, when an analysis uses a unit of time, such as seconds or one of its
multiples (minutes or hours) as a unit of measurement, then it is in the time
domain. However, whenever an analysis concerns the units like Hertz, then it is
in the frequency domain.


HOW IS TIME DOMAIN ANALYSIS DIFFERENT FROM FREQUENCY DOMAIN?

Frequency domain is an analysis of signals or mathematical functions, in
reference to frequency, instead of time. As stated earlier, a time-domain graph
displays the changes in a signal over a span of time, and frequency domain
displays how much of the signal exists within a given frequency band concerning
a range of frequencies. Also, a frequency-domain representation can include
information on the phase shift that must be applied to each sinusoid to be able
to recombine the frequency components to recover the original time signal.

Furthermore, you can convert a designated signal or function between the
frequency and time domains with a pair of operators called transforms. Moreover,
a perfect example of a transform is the Fourier transform. Which converts a time
function into an integral of sine-waves of various frequencies or sum, each of
which symbolizes a frequency component. The so-called spectrum of frequency
components is the frequency-domain depiction of the signal. However, as the name
implies, the inverse Fourier transform converts the frequency-domain function
back to the time function.



Managing antenna signals or audio transmission will change the type of analysis
used.

 


NUANCES BETWEEN FREQUENCY AND TIME DOMAIN

Time domain analysis provides the transitory response of a system to be
analyzed, and it permits a better understanding of the flow of both mechanical
and electrical energies. In general, this includes wave propagation, the
structural changes of a system, and electric potential generated by external
excitations.

Whereas for the frequency domain, visualization tools such as a spectrum
analyzer are commonly in use when visualizing electronic signals. Also, some
specialized signal processing techniques make use of transforms, and this
results in a joint time-frequency domain. Moreover, the instantaneous frequency
is a critical link between the time domain and the frequency domain.


WILL TIME DOMAIN ANALYSIS OR FREQUENCY DOMAIN ANALYSIS BE USED MORE OFTEN?

Time domain analysis is particularly useful for circuit designs with antennas
where a designer may encounter stray signals, reflections, or ground bounce
signals. Time domain signal processing enables an engineer to separate
extraneous signals in time from the desired signal, thereby identifying the
contaminated signals. 

In general, using a frequency domain will simplify analysis mathematically for
the system running it. Many prominent SPICE tools will primarily function
through the frequency-domain for this relevance, efficiency, and accuracy for
their analytical functions. 

Also, mathematical systems are an essential class of systems that have various
practical applicational uses. Furthermore, for a mathematical system regulated
by linear differential equations, it translates the depiction of a system from
that of a time domain to a frequency domain. Thereby changing the differential
equation to an algebraic equation, which is considerably less difficult to
solve.

Seeing a system from the viewpoint of frequency will often provide an innate
understanding of the measured quality that encompasses the behavior of the
system. The scientific community now offers various terminology to describe such
characteristic physical system behavior in reference to time-varying inputs.
This includes terms like frequency response, bandwidth, phase shift, gain, and
resonant frequencies, to name a few.

One of the most familiar and universal examples of frequency content in signals
is perhaps audio signals, such as music. 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.

 

When considering a sinusoid as an audio signal, we must also consider the
changes in air pressure on our ears as a function of time. In summary, from the
theory of operation of musical instruments to the musical notation in use to
record and discuss music itself requires the separation of the component
frequencies to gain an understanding of the audio in question.

Time domain analysis and frequency domain analysis are invaluable analysis
tools. The use of either methodology depends on your individual design needs.
However, in many cases, it is the use of both analysis techniques that yields
the most useful insight into your design requirement needs.

Whether your electronics require time domain or frequency domain analysis, with
Cadence’s suite of design and analysis tools, you’ll be sure to be equipped.
Before, during, and after analysis, though, you’ll still need a layout tool and
Allegro is capable of providing strong collaborative mechanics to its layout
editor. 



If you’re looking to learn more about how Cadence has the solution for you, talk
to us and our team of experts. 


> ABOUT THE AUTHOR
> 
> Cadence PCB solutions is a complete front to back design tool to enable fast
> and efficient product creation. Cadence enables users accurately shorten
> design cycles to hand off to manufacturing through modern, IPC-2581 industry
> standard.
> 
> Follow on Linkedin Visit Website More Content by Cadence PCB Solutions

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