The priority order should be time shifting and then time scaling and time riversal (as time reversal is special type of time scaling time reversal should not be taken as 1st priority)
Guys here is the solution for everyones doubt have a look 👀 : For a transformation equation like ( x(at + b) ), where ( a ) and ( b ) are constants: Scaling is represented by the ( a ) term. If ( a ) is negative, it also implies a reversal. Shifting is represented by the ( b ) term. The operations are applied as follows: If ( a ) is negative, the signal is first scaled and reversed simultaneously. Then, the signal is shifted by ( b ) units. So, in the case of ( x(-2t+1) ), the scaling by -2 (which includes reversal) happens first, followed by a shift of +1. For example, consider the transformation ( y(t) = x((t - b)/a) ), where ( a ) is the scaling factor and ( b ) is the shifting factor. Here, you would shift the signal first and then scale it. I think everyone get clarified from this comment . Thank you
This problem will show that the correct priority order should be 1st shifting 2nd reversal or scaling anyone.. I prefer shifting then scaling then reversal..like if you agree..
I have a doubt.......when we do time shifting by +3, graph shift towards -ve x axis, when we you do time shifting by -1 ( 4:03 ), then also graph shifts toward -ve x axis, how is this right. When we add -k to time, we should have delay, not advance, then why graph goes to left, please explain this.
Sir Okay, if we get the concept, the priority order is not needed. But following the order should give the correct result, right? According to this, TR should be done firstly which is giving an entire different result (MIII- TR is done at last). Exam soon. Please help!
You're getting a different result because you are shifting with respect to t and not -t. For example, in this problem you need to write the shifting expression as -(t-1) rather than -t+1 (because the x axis is still t and not -t. So you cannot directly shift by +1 towards the left.) Therefore the time gets shifted towards the right. You should get the correct answer once you perform time scaling after this. Hope this helps you.
in this instead of doing time reversal, can't we consider it as time scaling case 1(|a|>0), in this time scaling case, graph is not flipped as shown in result..can you clear why there is a difference in result?
You given priority list to Amp. Scaling only but if in some question, we have to do amplitude shifting and amplitude reversal also so what is the priority list??
use this: Method I (Parenthesis method) Step 1: Express x(at+b) in the form x(a(t+b/a)). (note that the coefficient of ‘t’ within the parenthesis become +1) Step 2: Apply Scaling (and Reversal if ‘a’ negative) by the factor ‘a’ Step 3: Apply the Time-Shift by the factor ‘b/a’ Method II (Direct method) Step 1: Start with x(at+b) - (note: remove any inner parenthesis) Step 2: Apply the Time-Shift by the factor ‘b’ Step 3: Apply Scaling (and Reversal, if ‘a’ negative) by the factor ‘a’
In a previous lecture, you mention the priority order as time reversal, time-shifting, and time-scaling, If we follow that order the answer will be completely different. Please explain.
Ravindu Kathriarachchie Time reversal is the special case of time scaling. When you perform this priority order TReversal>TShifting>TScaling result will also be same. y(t) = x(-2t+1) x(t) → x(-t) Time Reversal x(-t) → x(-t+1) = x[-(t-1)] Time Shifting We have to perform time shifting with respect to “t” axis not with the “-t” axis. Hence, (t-1) will be the right shifting.
in time scaling, a belongs to negative infinity to negative 1. -2 is covered in this case. and in previous lecture, satisfying this condition, there was no reversal in graph. so in negative cases of time scaling do we need to reverse the graph. if yes, then please modify previous lecture to avoid confusion like this.
Khyati Bhuva The thing you’re saying is only applicable to Time Compression and Time expansion. Time reversal doesn’t fall in both of these categories. It’s a different case. Everything in this lecture is correct and accurate.
In this video, your method 1 and method 3 are same and works. Method 2 works too. But you never used the priority list as you have shown in the previous video because that will definitely give wrong results.
Agreed. Why doesn't the priority order give the correct answer for this problem? I've watched all the videos in the playlist up until this point, and this isn't clear. Love what you do in general though. :)
yeah minus sign of time made this confusing ,here is the idea : by following the priority order you will first revers the plot then you got x(-t) when it comes to shifting you can not shift directly like this (-t+1) because you are going to shift on -t instead of t so what to do ?Take minus out to ) become x(-(t-1) so now you can shift in right hand because of the (t-1) I hope you got it
excuse me sir i have easier method and i want to know if it can work in every plot we can make ??? we can use lets assume that (r= -2t+1) then put t only side and others in other side like (t = r-1/-2) then substitute r with the points of the plot , then u can find the new points
We have to subtract from 0 in time shifting when the entire graph has different amplitude or when there is change in magnitude of amplitude beside 0 position i didn't get an clear idea can anyone tell
Sir for discrete time if x[n] exists for value of n from -5to 3 and how will we find x[(n-1)^2] will it exists for -4 as it's root is complex. Sir please answer me you haven't answered any of my question neither on u tube comment nor on Instagram. U know I only installed instagram so that I can connect with u.but u didn't answer. So sad 🙄🙄
The priority order should be time shifting and then time scaling and time riversal
(as time reversal is special type of time scaling time reversal should not be taken as 1st priority)
Guys here is the solution for everyones doubt have a look 👀 :
For a transformation equation like ( x(at + b) ), where ( a ) and ( b ) are constants:
Scaling is represented by the ( a ) term. If ( a ) is negative, it also implies a reversal.
Shifting is represented by the ( b ) term.
The operations are applied as follows:
If ( a ) is negative, the signal is first scaled and reversed simultaneously.
Then, the signal is shifted by ( b ) units.
So, in the case of ( x(-2t+1) ), the scaling by -2 (which includes reversal) happens first, followed by a shift of +1.
For example, consider the transformation ( y(t) = x((t - b)/a) ), where ( a ) is the scaling factor and ( b ) is the shifting factor. Here, you would shift the signal first and then scale it.
I think everyone get clarified from this comment . Thank you
You are a life saver! Would be awesome to have you as an actual professor in class. Keep up the good work.
The correct priority order should be
Shift
Scale
Reversal
thank you for clarification!
yep true
yeah
This problem will show that the correct priority order should be
1st shifting 2nd reversal or scaling anyone..
I prefer shifting then scaling then reversal..like if you agree..
Answer get wronged
nice lecture in Method 2 I was having doubt in logic behind taking -2 out , now I understood clearly :-)
sir why u did not do time reversal first in method 3 becoz in priority order time reversal comes first
That priority list is not suitable if reversal is required. In other words it is of no use
It's not true Ujwal. Time reversal is done first for the original x(t) before applying the priority order
@NesoAcademy Your priority order from the last video is not used here...it gives wrong answer....does that mean the priority order is incorrect ?
Thanks for picking up such a problem. It gave a good insight especially into using the shortcut method.
finally...this lesson clear most of my doubts...thnku soo much neso😊
Your channel must grow to 100million+
Blessings to you and your team !
You never disappoints me. I always get some new ways to approach the problem ❣️
I have a doubt.......when we do time shifting by +3, graph shift towards -ve x axis, when we you do time shifting by -1 ( 4:03 ), then also graph shifts toward -ve x axis, how is this right. When we add -k to time, we should have delay, not advance, then why graph goes to left, please explain this.
Got them both wrong...learned a lot in the process. Thanks, Neso Academy, I get it now :)
Learned a lot from this video, if possible take variety of examples related to GATE questions also, thank u so much for providing such videos 😊😊😊
why don't we use priority order in this problem, can anyone explain ?
Sir
Okay, if we get the concept, the priority order is not needed. But following the order should give the correct result, right? According to this, TR should be done firstly which is giving an entire different result (MIII- TR is done at last). Exam soon. Please help!
You're getting a different result because you are shifting with respect to t and not -t. For example, in this problem you need to write the shifting expression as -(t-1) rather than -t+1 (because the x axis is still t and not -t. So you cannot directly shift by +1 towards the left.) Therefore the time gets shifted towards the right. You should get the correct answer once you perform time scaling after this. Hope this helps you.
@@siu281 Hey, thanks for the solution!
@@siu281 Can We follow order like 1)Shifting 2)scaling 3)Reversal????
@@siu281 Thanks mate
f(t) = 2, -2
Thank you so much Sir..its very helpful
Sir u r phenomenal
Thanks a lot!
Sir Huge conflict in Priority Order..
What to follow as Both order not giving same Answer. 😔😔😔😔
According to priority steps reversals, shifting, scaling
well explained sir
in this instead of doing time reversal, can't we consider it as time scaling case 1(|a|>0), in this time scaling case, graph is not flipped as shown in result..can you clear why there is a difference in result?
I think performing shifting operation after time reversal(folding) leads to mistake because of '-t' instead of 't'
sir u said to do time reversal first in any of these methods u didn't do that fist
Yes he didn't do that n answer is wrong by doing T.R. first
You given priority list to Amp. Scaling only but if in some question, we have to do amplitude shifting and amplitude reversal also so what is the priority list??
Or is we perform operation on Amplitude anywhere at we want??
nice video
Please upload addition...subtraction and multipliaction of step n ramp..ramp and impulse...step and impulse...and combined signals which we can get ..
use this:
Method I (Parenthesis method)
Step 1: Express x(at+b) in the form x(a(t+b/a)). (note that the coefficient of ‘t’ within the parenthesis become +1)
Step 2: Apply Scaling (and Reversal if ‘a’ negative) by the factor ‘a’
Step 3: Apply the Time-Shift by the factor ‘b/a’
Method II (Direct method)
Step 1: Start with x(at+b) - (note: remove any inner parenthesis)
Step 2: Apply the Time-Shift by the factor ‘b’
Step 3: Apply Scaling (and Reversal, if ‘a’ negative) by the factor ‘a’
Time reversal is a special case of time scaling then why it needs to be done before time shifting ?
What is priority order in case of time reversal and amplitude reversal
In a previous lecture, you mention the priority order as time reversal, time-shifting, and time-scaling, If we follow that order the answer will be completely different. Please explain.
Ravindu Kathriarachchie Time reversal is the special case of time scaling.
When you perform this priority order TReversal>TShifting>TScaling result will also be same.
y(t) = x(-2t+1)
x(t) → x(-t) Time Reversal
x(-t) → x(-t+1) = x[-(t-1)] Time Shifting
We have to perform time shifting with respect to “t” axis not with the “-t” axis. Hence, (t-1) will be the right shifting.
@@alphasatari Thanks brother
Sir plz upload a video on the topic like we have given one graph and we have to convert one graph to another graph...
in time scaling, a belongs to negative infinity to negative 1. -2 is covered in this case. and in previous lecture, satisfying this condition, there was no reversal in graph. so in negative cases of time scaling do we need to reverse the graph. if yes, then please modify previous lecture to avoid confusion like this.
Khyati Bhuva The thing you’re saying is only applicable to Time Compression and Time expansion.
Time reversal doesn’t fall in both of these categories. It’s a different case.
Everything in this lecture is correct and accurate.
If we do the problem by taking priority order, result is not same....plz explain if ..
can you give breif problem on amplitude scaling in multiple transformations
Wont time reversal at last make it -2t-1 ?
Sir in time shifting why don't u included zero in ur previous examples...
In this video, your method 1 and method 3 are same and works. Method 2 works too. But you never used the priority list as you have shown in the previous video because that will definitely give wrong results.
first try then write such comments
using priority order the answer is coming same
I also tried Priority order. that gives wrong ans for this math. bro you should also try once. 1st reversal then shifting then scaling. @@retromonk88
Method 1 and Method 3 is the same
a have same question ....If u follow priority order to this problem we can't get same output as u solved why?
nyc...
If u follow priority order to this problem we can't get same output as u solved
Please upload a video for the same problem by following priority order
Agreed. Why doesn't the priority order give the correct answer for this problem? I've watched all the videos in the playlist up until this point, and this isn't clear. Love what you do in general though. :)
yeah minus sign of time made this confusing ,here is the idea :
by following the priority order you will first revers the plot then you got x(-t) when it comes to shifting you can not
shift directly like this (-t+1) because you are going to shift on -t instead of t so what to do ?Take minus out to
) become x(-(t-1) so now you can shift in right hand because of the (t-1) I hope you got it
thanks for explaining bro
@@12ahmadali thanks brother❤
@@12ahmadali thankx bro'
excuse me sir i have easier method and i want to know if it can work in every plot we can make ??? we can use lets assume that (r= -2t+1) then put t only side and others in other side like (t = r-1/-2) then substitute r with the points of the plot , then u can find the new points
X(-2t+1) =X[-(2t-1)]
In both the cases can we get same answer
We have to subtract from 0 in time shifting when the entire graph has different amplitude or when there is change in magnitude of amplitude beside 0 position i didn't get an clear idea can anyone tell
why didn't u follow priority order
pls fix ur priority order in ur previous video
SIR EXAMS ARE COMING , PLEASE UPLOAD OF FOURIER TRANSFORM !
why is the priority order not used in problem 2?
At time t=0amplitude is constant (ie)1 how could you change at 0 secs
Did any one observe that when we change the signal from original signal its base is 9(6+3) then converted 4.5(2+2.5) is it kind of signal loss?
is shortcut method incorrect for all type problem?
Sir for discrete time if x[n] exists for value of n from -5to 3 and how will we find x[(n-1)^2] will it exists for -4 as it's root is complex. Sir please answer me you haven't answered any of my question neither on u tube comment nor on Instagram. U know I only installed instagram so that I can connect with u.but u didn't answer. So sad 🙄🙄
Sir Your Priority Order is not giving correct answer in this question , did anyone solve that correctly from Sir's Priority Order??
why answer is not same when we apply time reversal first
Not very agree with the priority order, will do time shifting, scalling then only reversal
I hate any other steps rather than: Shift -> Scale -> Reverse ... ))
Method 1 is more easy to solve giraph
let me know when to use method1,2,3
We can use any method of all
what about the [x(t)+x(-t)]u(t) ?
Sir aapne priority order ko follow nahi kiya usse answer alag aayega
Yes
You sad that we need to follow steps.. 1. Time reversal, 2. time shifting, 3. time scaling.. when I do 1st time reversal, i get different solution
u(-3t+6) i think here priority order donot work ...................
why didn't you follow the priority order?
because the results is different that what you found at the ened of this video
@@eyosiasbitsu4919 i am getting same answer using priority order
no clarityy the sums aree u should not telling tht much clarity man