Understanding the DTFT & Its Properties
A 15part course with Anish Turlapaty
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Teacher
Anish Turlapaty received the B.Tech degree in electronics and communication engineering from Nagarjuna University, India, in 2002, the M.Sc in engineering degree in radio astronomy & space sciences from the Chalmers University, Sweden in 2006, and the... View ProfileDetails
 Total Time 1 hr, 22 min
 Lessons 15
 Attachments 4
 Exercises 34

50 CQ
15 Lessons in This Course

8 minFREEEngineering lesson 1Free5 CQ
In this lesson, math instructor Anish Turlapaty defines the DTFT and discusses how to solve for the function of a given sample sequence or unit step function.
with Anish TurlapatyIn this lesson, math instructor Anish Turlapaty defines the DTFT and discusses how to solve for the function of a given sample sequence or unit step function.

5 minMath lesson 23 CQ
This lesson from math instructor Anish Turlapaty covers two separate examples and their different solutions for finding the discretetime Fourier transform.
with Anish TurlapatyThis lesson from math instructor Anish Turlapaty covers two separate examples and their different solutions for finding the discretetime Fourier transform.

5 minEngineering lesson 33 CQ
Follow math instructor Anish Turlapaty as he explains the parameters required in a numerical implementation of the DTFT formula in a linear algebra equation.
with Anish TurlapatyFollow math instructor Anish Turlapaty as he explains the parameters required in a numerical implementation of the DTFT formula in a linear algebra equation.

4 minMath lesson 43 CQ
In this lesson, math instructor Anish Turlapaty walks stepbystep through simplifying the equations needed to find the DTFT used with a unit step sequence.
with Anish TurlapatyIn this lesson, math instructor Anish Turlapaty walks stepbystep through simplifying the equations needed to find the DTFT used with a unit step sequence.

4 minMath lesson 53 CQ
This lesson from math instructor Anish Turlapaty discusses how to find the DTFT of δ(n) as well as how to apply the inverse transform to find the DTFT of x(n).
with Anish TurlapatyThis lesson from math instructor Anish Turlapaty discusses how to find the DTFT of δ(n) as well as how to apply the inverse transform to find the DTFT of x(n).

7 minMath lesson 64 CQ
This lesson from Anish Turlapaty covers how to find the DTFT of complex exponent, then using that to find the DTFT of a cosine and sine of a given signal.
with Anish TurlapatyThis lesson from Anish Turlapaty covers how to find the DTFT of complex exponent, then using that to find the DTFT of a cosine and sine of a given signal.

7 minCalculus lesson 74 CQ
Math instructor Anish Turlapaty demonstrates proofs for the linearity, time shift, and frequency shift properties of the discretetime Fourier transform.
with Anish TurlapatyMath instructor Anish Turlapaty demonstrates proofs for the linearity, time shift, and frequency shift properties of the discretetime Fourier transform.

8 minAlgebra lesson 85 CQ
Continuing the properties of a DTFT, this lesson covers the properties of complex conjugation, folded or timereversed signals, and evenodd symmetry.
with Anish TurlapatyContinuing the properties of a DTFT, this lesson covers the properties of complex conjugation, folded or timereversed signals, and evenodd symmetry.

8 minMath lesson 95 CQ
Wrapping up the discussion of properties of DTFT, this lesson covers the properties of periodic convolution of signals in time and frequency domains.
with Anish TurlapatyWrapping up the discussion of properties of DTFT, this lesson covers the properties of periodic convolution of signals in time and frequency domains.

7 minMath lesson 104 CQ
Math instructor Anish Turlapaty discusses the symmetry property of the DTFT and its consequences regarding a signal's components, its magnitude, and its phase.
with Anish TurlapatyMath instructor Anish Turlapaty discusses the symmetry property of the DTFT and its consequences regarding a signal's components, its magnitude, and its phase.

3 minMath lesson 112 CQ
In this lesson, math instructor Anish Turlapaty discusses the periodicity property of the DTFT and its consequences, covering its proof and showing a graph.
with Anish TurlapatyIn this lesson, math instructor Anish Turlapaty discusses the periodicity property of the DTFT and its consequences, covering its proof and showing a graph.

3 minMath lesson 122 CQ
In this lesson, math teacher Anish Turlapaty reviews the linearity property of the DTFT then covers the MATLAB code that graphs a sample signal and its DTFT.
with Anish TurlapatyIn this lesson, math teacher Anish Turlapaty reviews the linearity property of the DTFT then covers the MATLAB code that graphs a sample signal and its DTFT.

2 minMath lesson 132 CQ
In this lesson, math instructor Anish Turlapaty illustrates the timeshift property by reviewing its definition, then demonstrates the property in MATLAB.
with Anish TurlapatyIn this lesson, math instructor Anish Turlapaty illustrates the timeshift property by reviewing its definition, then demonstrates the property in MATLAB.

2 minMath lesson 142 CQ
Math instructor Anish Turlapaty discusses the frequency shift property of the DTFT and then shows how to plot the graph for the two signals in MATLAB.
with Anish TurlapatyMath instructor Anish Turlapaty discusses the frequency shift property of the DTFT and then shows how to plot the graph for the two signals in MATLAB.

4 minSoftware Development lesson 153 CQ
Math instructor Anish Turlapaty demonstrates finding the DTFT of a complex value function and how to use Python to discover its symmetry and periodicity.
with Anish TurlapatyMath instructor Anish Turlapaty demonstrates finding the DTFT of a complex value function and how to use Python to discover its symmetry and periodicity.

630 min6part Math course17 CQ
Fundamentals of Laplace transforms such as definition, limits, properties, and few examples.
with Anish TurlapatyFundamentals of Laplace transforms such as definition, limits, properties, and few examples.

7 minMath lesson4 CQ
In this math lesson, learn to work with a simple sinusoid waveform and review its fundamental properties such as amplitude, frequency, phase, and periodicity.
with Anish TurlapatyIn this math lesson, learn to work with a simple sinusoid waveform and review its fundamental properties such as amplitude, frequency, phase, and periodicity.

4 minMath lesson3 CQ
Translation in time is a physical property with applications in many fields. Follow along as Anish works the equation that expresses this principle.
with Anish TurlapatyTranslation in time is a physical property with applications in many fields. Follow along as Anish works the equation that expresses this principle.

11 minMath lesson6 CQ
In this lesson, learn the definition of ztransform and follow along to the examples, each of which includes an explanation of the region of convergence.
with Anish TurlapatyIn this lesson, learn the definition of ztransform and follow along to the examples, each of which includes an explanation of the region of convergence.

4104 minFREE4part Engineering courseFree54 CQ
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11110 min11part Computer Science course61 CQ
Learn how to set up a doityourself home wireless network in this course. From terminology and equipment to setup and best practices, this handson IT course teaches how to build a wifi network.
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958 min9part Engineering course32 CQ
Sensors perform a hugely valuable function in electronic devices, and in this course, electrical engineer Dorian McIntire provides an indepth look at how different kinds of sensors operate.
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1582 min15part Engineering course50 CQ
In this course, learn what defines the discretetime Fourier transform, how it is related to different signal functions, as well as how to evaluate its properties numerically and graphically.
with Anish TurlapatyIn this course, learn what defines the discretetime Fourier transform, how it is related to different signal functions, as well as how to evaluate its properties numerically and graphically.

633 min6part Engineering course20 CQ
Are you an electronics hobbyist who wants to start building simple electronic circuits with LEDs? This course is a great way to apply a circuitry foundation and learn a bit of electrical engineering!
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1183 min11part Calculus course47 CQ
Need some tips for Calculus 1A? Or maybe you’re madly reviewing for tomorrow's math test? Either way, never fear  Krista, an experienced math tutor, will help you understand the world of calculus, stepbystep. Start by learning the difference between a function and an equation  and how to analyze a function's graph for continuity and limits. Then, step into the world of tangent lines, differentiation, and more. Each lesson includes examples and sample problems to help you along the way.
with Krista King MathNeed some tips for Calculus 1A? Or maybe you’re madly reviewing for tomorrow's math test? Either way, never fear  Krista, an experienced math tutor, will help you understand the world of calculus, stepbystep. Start by learning the difference between a function and an equation  and how to analyze a function's graph for continuity and limits. Then, step into the world of tangent lines, differentiation, and more. Each lesson includes examples and sample problems to help you along the way.

10129 min10part Math course70 CQ
Statistics may sound like a dry topic, but developing data analysis skills will unlock fascinating worlds! In this 10lesson course from statistics teacher Zac Rappell, start by understanding group data and central tendencies (mean, median, and mode), then explore measures of spread (range, IQR, and standard deviation). Learn how to create stem and leaf and box and whisker plots, and practice comparing data sets to identify new relationships. Finish with a fun final project analyzing the Oscars!
with Zachary RappellStatistics may sound like a dry topic, but developing data analysis skills will unlock fascinating worlds! In this 10lesson course from statistics teacher Zac Rappell, start by understanding group data and central tendencies (mean, median, and mode), then explore measures of spread (range, IQR, and standard deviation). Learn how to create stem and leaf and box and whisker plots, and practice comparing data sets to identify new relationships. Finish with a fun final project analyzing the Oscars!

31113 min31part Algebra course73 CQ
Studying for the Regents Exam and need help with the algebra one section? In this course, run through thirtyseven example problems that cover basic algebra concepts you'll need to know to pass.
with Math FortressStudying for the Regents Exam and need help with the algebra one section? In this course, run through thirtyseven example problems that cover basic algebra concepts you'll need to know to pass.

993 min9part Calculus course51 CQ
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630 min6part Math course17 CQ
Fundamentals of Laplace transforms such as definition, limits, properties, and few examples.
with Anish TurlapatyFundamentals of Laplace transforms such as definition, limits, properties, and few examples.