Convolution (Solved Problem 2)

[@rohitkhadilkar2063]

option d...... x(-t)*delta(-t-t0) =x(-t)*delta(t+t0) Replace t by t+t0 in input x =x(-t-t0) I HAVE CONFIRMED IT FROM GATE 2015 ANS KEY

[@jancydas5569]

If we slove by using laplce transform.. in that also...shall i take del(-t-to) =del(t+to) ..in that case x(-t-to)

[@madusudan2474]

Thanks Anna

[@abhishekmukherjee4063]

ROHIT KHADILKAR how delta(-t) = delta(t)?

[@madusudan2474]

@@abhishekmukherjee4063 it is a even signal

[@jancydas5569]

@@abhishekmukherjee4063 Impulse function is an even function

[@praseethavijayakumar1694]

Guys don't get confused, whenever Delta function is there we cannot perform if it's not +t, so if there's any constant perfect do the scaling first and then put it in x(t). Option D is correct.

[@anshuhimanshusuthar5614]

😆😆😆

[@vimalpandey1974]

D. Using property If x(t)*u(t) = y(t) Then x(at)*u(at) = 1/|a|{y(at)} Here , a = -1

[@mohanmurari6889]

Option d is correct...we cn solve this by 3 way 1. Use scaling as well as shifting properties of convolution 2. Take -1 common from delta function it will be delta(-(t+to)) and using delta propertie this would be equal to delta(t+to) now use shifting property of convolution 3. Let -t=tow thn use shifting property an replace tow to -t In all case same result occurs which is x(-t-to)😌

[@apoorvpandey5058]

Yes bro very correct

[@engineer3961]

@@abhijeetsinghchahal3319 x(-t) * del(-t-to) replace -t by k : x(k) * del (k - to) = x (k - (0 + to) ) = x (k - to) now again replace k by -t : = x (-t - to )

[@BhavikRaghav14905]

@@engineer3961 Thanks a lot man for explaining!!! was really struggling here😁

[@sudhakarm9052]

imp(-t-a)=imp(-1(t+a)) i.e (1/(mod(-1))imp(t+a)= imp(t+a) so option d is currect

[@ArpitDhamija]

option D is correct , using time delay property

[@sabiyanaikwadi641]

replace -t by any random variable lets take ''a" x(a)*del(a-to) replace a by (a-to) therefore answer=x(a-to) put a= -t therefore answer = x(-t-to)

[@santanumandal5455]

option D. just take out the minus sign from the delta function. because delta(t) = delta(-t) then you follow any procedure you want

[@anshuhimanshusuthar5614]

nice future

[@BhavikRaghav14905]

Thanks a lot sir!!! I am so grateful to you for teaching it so easily and efficiently Jai Siya Ram

[@animeshanand6286]

ans for last question is x(-t-t0).

[@monsterous289]

I used two methods and got option c both times. No idea how someone would get option D when replacing the t in x(-t) with -t-t0

[@ranjeetsingh3270]

Option C

[@abantikasengupta8211]

if y(t)=x(2t+1),then what should........y(-t)be??x(-2t-1) or x(-2t+1)

[@harshlodha2056]

x(-2t+1) . We don't do time shifting while doing time reversal

[@divyapitla7929]

x(-2t+1)

[@saikumarPatnalaNASA]

think -t as some other variable guys then it's just like any other question.. finally replace that variable with -t .... so answer should be Option (D) :)

[@apoorvpandey5058]

Yes

[@shubhamyadav-zo7nn]

DSolve by scaling property

[@prabhakardas4261]

option c....because replace -t=-(-t-to) which gives x(t+to)......

[@prabhakardas4261]

PABITRA PATRA i am not taking common yaar, it is already in question the negative sign

[@pabitrapatra3502]

yes i got it....del(-t-to)= del (t+to).......thats why after convolv x[ - ( t + to ) ] = x[ - t - to ] ...now the answer is matching in all method

[@313Ritesh]

option d is correct guys. both are (-t) so we just need to shift by to

[@saisumanth8064]

is this right do u know the answer exactly del(-t-to)=del (t+to);

[@monsterous289]

I used both methods and got C as the answer.

[@bhabanishankardas9800]

The answer is (a) because delta(-t-t0)=delta(t-t0) so now x(-t) convolved with delta(t-t0) gives x(-(t-t0)) = x(-t+t0)

[@aakankshasingla1126]

how could delta(-t-t0) and delta(t-t0) be equal??...when u plot them delta(-t-t0) will be 1 at t=-t0 whereas when u plot delta(t-t0) it will be 1 at t=t0...which means both are different

[@sksalma4377]

sir we want on discrete signals sir plz

[@gamar1226]

pllllzzz

[@gnquince]

D is correct, since if you common minus from impulse and follow property of time scaling of impulse you'll get answer D.

[@aakankshasingla1126]

c option...but i have so many doubts becoz I'm also getting d option also but i think my technique of finding c option is more correct...please tell me what is its answer?

[@vandanakhairnar5151]

D is correct answer..👍

[@jancydas5569]

By scaling property... X(-t) * del(-(t+to)) =1/|-1| y(-t) =y(-t) X(t) * del (t+to) = x (t+t0) Replace t by -t = x( -t + to)

[@sunandak71]

Thanks for the solution.

[@abhimanyuyadav3138]

Let's take -t to be u take apply shortcut formula for delta function then after that replace u to -t. Hence D is correct.

[@Fantasticsman]

D is correct answer since delta(-t)=delta(t).

[@ArpitDhamija]

i m not able to understand 1st question ........ by your method , if u will use time delay property , then it will become more easy

[@rajoogautam8984]

Option d is correct if use first Ist method directly coming

[@monsterous289]

I get C if I do not substitute say p=-t

[@shawazkhaled2301]

Yes by using the first the answer is indeed d

[@aliceiceberg581]

option c. we are replacing t, not -t

[@abhishekmukherjee4063]

Alice Iceberg exactly

[@RahulRaj-fe4zu]

Yaa I also think C is correct

[@Samuel.Raihanaboina]

Explain about Basic Laplace transformrs

[@phanindrareddy4885]

Sir tell us answer

[@zararshah2768]

Why is everyone getting D , and how r u guys applying Time Scaling to it? I simply replaced the *t* from x(-t) with (-t-t-knot) Hence C

[@vinaypant557]

D is the right answer

[@saisumanth8064]

i want exact ans guys

[@ritwiksingh696]

Answer of solved question is A

[@subins2917]

Its d .

[@sadikmuktar9961]

@@subins2917 it's C

[@debgopalray9466]

love from west bengal

[@tarkcanavar2726]

Sir we all need the right answer please comment this.

[@krishnakantsahay6081]

Option D is correct

[@aashman_40k]

A option for hw problem

[@vikasaction500]

Answer is D...the answer can be found here gate.iitk.ac.in/GATE2015/anskey2015_link.php Check EC paper session 1, question number 27

[@vpnuser5399]

Can you please update the link?

[@063mohammadahtesham8]

d because delta is even function ........... delta(-t) = delta(t)

[@saisiddarthgampa1156]

Option c

[@rahulmakavana8640]

homework question answer is D-> x(-t-t(not))

[@thyaraghavan3164]

option d for homework sum

[@khairulfahim]

I think the answer is x(t+t0)

[@maheswaran8729]

Answer is option c

[@sagarpalvai3452]

X(t+to)

[@prateekjaiswal8045]

Option d is correct

[@debgopalray9466]

great

[@rohitdatwani8467]

Ans d is correct

[@deepghosh2715]

Every body saying its option D.... But its not..... The ans is C. here we are doing convolution by a system. Hence we can't change the sign of del function. Del(t) is not equal to Del(-t) in terms of time.... The magnitude is same but there position is different... Hence from the first method the ans is C.

[@abhishekmukherjee4063]

Deep Ghosh yes that's what I am shouting till now to everyone

[@bun_zees3245]

It's -t-to

[@bhaveshacharya1422]

please plot the graph of del(-t-t0) and del(t+t0);

[@srialekhya7248]

C is the correct answer

[@clashleader2012]

d is right

[@kiranjangid9175]

D is correct

[@tonystark6022]

Anyone explain me why delta(-t) = delta(t)

[@Sleepy-jz7en]

its an even function when time is not shifted

[@aswin972]

its D. do laplace

[@gopikrishnamoodu6152]

Ans is D.

[@hoangt4182]

answer for the homework is D

[@kalemadhu6864]

x(t+tnot)

[@erbhatzia3545]

A....x(-(t-to))= x(-t+to)

[@ThePravya]

D

[@naveenrathee07]

C is correct

[@vikashchandpatel6411]

Aption c is correct

[@ghimakargyhhvwjgck6304]

d

[@silpyjain9041]

Hw problem ans is option no c

[@saranshgupta9119]

A option

[@maneeshadevarakonda6691]

option d

[@armansrivastava17]

C??

[@akashjagtap2784]

X(t+t0)

[@TemplateTroveNCRax]

C is answer

[@viswanathboya6847]

I guess Option C is correct

[@kaavyasameerasajja6730]

C Answer please...

[@OfficialAnarchyz]

Sir Sir Sir Sir Sir

[@kashmirvalley7861]

C.

[@JP-qp9ht]

option c

[@harendrakumarjatav6726]

c

[@PRABHATkumar-km1zn]

option d ans h

[@vaishnavipatil5352]

What is the correct answer I guess C

[@kamalasiwal5516]

Option d

[@abdulwahoodshaikh7501]

-t-to

[@NitishKumar-lh4tf]

A

[@vamshisingirikonda1859]

t+t0

[@mridulsehgal6783]

Bhai please thoda speed me bol liya krr itna dheeree bolta hai tu irritation hoti hai

[@el04shubhamtajne7]

mayur tomper

[@alemayehubezabih2312]

b

[@MrBibhishan]

C

[@abhishekshankar1136]

D is correct

[@rishabhsisodiya877]

Option c

[@pillijayalakshmi5208]

D

[@swaraj5592]

Option d

[@NARENDRAKUMAR-qz9ko]

option c is correct

[@malisettyganesh4429]

Option D is correct

[@monsterous289]

I used two methods and got option c both times. No idea how someone would get option D when replacing the t in x(-t) with -t-t0

[@rahulranjan2650]

c

[@souravgoyal5675]

d

[@vruddhibhatia1655]

C

[@avinashmaurya6087]

D

[@bharatkumawat62]

C

[@surendra_c]

Option d

[@prakashchandbansal8407]

c

[@shwetasarvara772]

D

[@pythonwala510]

Option d

[@RiteshKumar-kq7ud]

C

[@aashishpudasaini4418]

c

[@ravipatiggkrishna8532]

Option d

[@mohan6127]

C