This video provides a comprehensive passing package for Digital Signal Processing backlog exam preparation, covering five key modules: Module 1 (Signals and Systems) includes signal definitions, system causality/stability analysis, LTI system output derivation, and convolution problems; Module 2 (Z-Transform and DFT) covers Z-transform properties, frequency domain sampling, DFT computation using matrix method, and circular convolution; Module 3 (FFT Algorithms and Overlap Methods) focuses on Radix-2 DIT FFT algorithm, signal flow graphs, and overlap-save/overlap-add methods; Module 4 (FIR Filter Design) addresses window functions (Hamming, Bartlett), linear phase FIR filter design, and cascade/direct form realizations; Module 5 (IIR Filter Design) covers Butterworth filter design, bilinear transformation with pre-warping, and impulse invariance method. The video emphasizes practicing specific problem types from previous backlog papers to achieve 65+ marks.
Deep Dive
Prerequisite Knowledge
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Deep Dive
DSP Passing Package IMP Questions For Backlog StudentsAdded:
Hello everyone, welcome you all to this new video.
So in this video uh most of you are demanding about the latest passing package for the backlog exam. Uh most of them are having the backlog exam for the this subject which is very difficult one that is digital signal processing. And uh here I am with the passing package.
This time I've updated the questions compared to previous passing package.
Ive put some more questions. I have analyzed all the previous year backlog papers, previous year question papers, model papers, everything and uh I have given my best to give you to provide you these questions from all the modules.
Okay? So you could be trusting me guys 100% for all the backlog students would be passing this subject. Okay? Module wise passing package. Easily you could be scoring 65 plus if you listen to me very carefully.
Listen to this video from start to end.
Easily you could be scoring this mark 65 plus. I'm not joking. Okay? You have to be listening from starting to end all the questions I I will be discussing.
Subscribe to our channel BTO Academy.
Most of them are not yet subscribed. So please do subscribe and hit the bell icon and also like our video. Okay. All of us all of them first uh first job is to like this video. All five modules in detail all the questions are discussed.
Okay. Please watch all the questions from start to end. Okay. So now let's start now with module one. Module one, first question you could be expecting is define signal with example. Okay, define signal or define system. Any one of them would be coming and uh there are high chances that this question would be appearing and this time in the backlog papers in all the previous backlog papers also they would be mostly they would be asking you problems. Okay, theory questions would won't be asked and programs would be asked in each modules. Okay. So with respect to that only I've kept theory questions whatever is there right uh those are the fixed questions because minimum theory questions should be asked whatever is provided in this package if you learn those theory questions it would be definitely asked for 100%. Okay. Yeah.
So, define signal list and discuss different discrete time signals. Okay.
So, this is the first question. Second one, determine whether the following systems are casual or stable. So, this is confirmed guys. In the previous backlog paper also this was there. So, I've provided three of the impulse responses. Okay. Uh I'm not sure whether these these would be the exact ones. But uh these kind of questions would be asked for your practice. I've kept these three questions here. That is one is impulse response. H of n is equal to 5 delta n. H of n is equal to/ of minus n into u of minus n. H of n is equal to e ^ minus n cos n into u ofn. Okay. So these three systems you need to be determining whether it is casual or stable. Okay. So please practice it. And one question theor in the theory part there are high chances that they might be asking is related to advantages and limitations of digital signal processing. Okay. So that's why I thought to keep this fourth one, derive the equation for the output of the LTI system that is linear time invariant system and list the steps of convolution. So this is also one theory question. Uh there are high chances because in the previous year backlog paper also this question had come. So there are high chances that this time also in the theory part this question would be coming. So please do practice it. And this is one problem. Compute the convolution of two finite sequences. So one sample problem I've given you for you guys to practice. So x ofn is given by min -1 4 2 1 and impulse response is given by 1 2 3 5. Okay. So do practice it guys. Sixth one determine the energy and power of the unitstep sequence. So there is one derivation. So this was also there in the model paper if you observe my model paper solution playlist in that the first question only was this one. From that you could be taking the answer. Along with that this is one problem that is uh was that was there in the previous year backlog paper.
Interpret whether each of the following is energy or power signal. You should be deciding whether in these two signals which is energy signal and which is power signal. Okay. So please do try it guys. And the programs part from these three it definitely they would be asking these only you don't be expecting any other questions. Okay. First one is either signal addition or multiplication and uh either unit step or unit sample sequence or scaling or shifting. Okay, any of these would be definitely asked.
So be prepared for these. Okay, so these were the seven questions from my side which I have finalized for this backlog paper which would be definitely helping you guys. So please practice it very well. Now let's come to module two.
Module two first one fixed question I have kept is that is uh mention the properties of Z transform along with the equation. So this question is sure short definite question 100% this question would be arriving from module 2 for the backlog papers in all of the previous backlog papers this was there and in the main paper also this is a confirm question so please do practice it okay second one this is also again a fixed question that is explain the fre frequency domain sampling and reconstruction of discrete time signals along with the equations okay so I've told you multiple times in my videos in my videos also I've explained it so please watch it Okay.
Now let's get to the other part the question number three. Now here I've kept the problem of four point DFT.
Okay. I've kept two problems. Compute four point DFT for the signals given below. First I have given X ofn is equal to 01 23 and second one is 1 1 0 0.
Okay. Try to compute the DFTs for these two. Okay. So these questions have taken from the previous year backlog papers and also the previous year papers as well. So these kind of questions would be arriving. So this is just for practice. Do practice it. And this fourpoint DFT you you need to be computing using matrix method. Okay. So those who don't know matrix method I have already done it in my videos uh in my playlist section you all the five modules detailed explanation of all the concepts along with the important problems everything I have explained. So those have not watched yet please go and watch it. This that playlist would be definitely helping you guys to score good in the and uh clear the backlog.
Okay. So please do watch that. Fourth one, develop the equation for DFT of multiplication of two sequences. So this question is a theory question which I' have taken from the previous year backlog paper. So there are high chances that this might be appearing for the exam. Fifth one again one problem of computing the circular convolution of the following. Okay. So I have given two questions here for your practice. Do practice it. First question I have given x1 of n as 1 2 3 1. x2 of n as 4 3 2 1.
Second one 21 and 1 2 3 4. Okay, please do practice it. One question related to circular convolution would be definitely asked. Okay, so please do practice it using time domain approach. Next one.
Write a program to compute endpoint DFT and plot the magnitude and phase uh phase spectrum. I have kept it opt because this is an optional part. I don't know whether they would be asking program in module 2. But still for the safer side if they ask the program this is the definite question they would be asking. Okay. No other question from module 2 in a program part would be asked. So be prepared to for the program to compute endpoint DFT. Also you need to be plotting the magnitude and phase plot. Okay. So this these are the questions for module two. Now let's get to module three. Now in module three first question is state and prove circular time or frequency shift property or pars theorem. This is a confirm question guys. Okay this question is 100% sure.
Uh these only the these only are the state and true questions they would be asking no other property they would be asking either circular time or frequency shift or parsible theorem. Okay. So be prepared and uh study this. Second one, derive the algorithm for radics to DIT FFT using built-in function and also draw the signal flow graph for n is equal to 8. Okay, you need to be explaining the radics to dit fft algorithm in detail how it works step by step with all the parameters and they have told us to draw the signal flow graph SFG for the uh 8 bit uh radics to FFT. Okay, so do that practice it. This I've taken from the previous year uh backlog paper and I guess this was there in the previous year question paper as well. So please do practice it. Third one is again I've taken some problems for radics to DIT FFT from uh my own DSP paper, previous year backlog paper and some of the other question papers. I've taken three questions for you guys to practice it. Okay, please do practice.
One question would be definitely asked.
Okay, first one I've taken x of n is equal to n + 1 and where n ranges from 0 to 7. It means that it is a uh eight values n would be x of n would be having eight values varying from 0 to 7.
Okay. So second one is x of n is equal to 1 2 3 4 4 3 2 1. Third one x ofn is equal to 1 1 0 0 - 1 - 1 0 0. Okay.
These three questions are important.
Please do practice it. Next question is calculate y ofn using overlap save or overlap add method. Okay. So this also one question will be definitely asked.
Okay. So there are two questions which uh two sample questions which I've kept it for you guys to practice. Okay. So some of the solutions for these questions would be available in my playlist also. If you go and check the concept, type the concept in my playlist, you'll be getting the detailed explanations with different variety of problems for these concepts. Okay. So again and again I'm telling to please refer my playlist of DSP all the five modules detailed explanations with all the concepts everything I've explained it. Okay. So for your benefit only I'm telling guys please go and watch those videos as well. Okay in that variety of problems I've solved which would be helping you guys to solving these questions. Here I've uh kept two questions for overlap save and add method. Go through it. Okay I'll not dictate it because it will be taking time. Pause the video and refer it.
Okay.
So next one again uh this is optional part they won't I guess they won't be asking it but still I've kept it for the safer side. that is explain the concept of overlap save and add method. This also in my video I've covered it. Okay, go and watch it uh in that module. This uh overlap save and add method explanation would be available. That video you go and watch it. You would be understanding it. It's very easy. Okay.
Again programs from this module there are high chances that you you should be be ready for the programs related to radics to FFT, DFT or IDF. Okay. Be prepared. Now let's get to module four.
In module four, first question is mention different windows to design FIR filters. Okay. So there are total of five five windows. In my videos also I've told you and uh this was there in the previous year backlog paper in the main paper. In everything this question is fixed. Okay. So be prepared for this question. 100% this would be arriving in the exam. Next one explain the steps of designing linear phase FIR filter and also obtain its frequency response. This was also there in one of the backlog papers. So I thought to keep this okay uh practice it. Third one I have kept the problems related to designing of FIR filters. Okay. Uh these are the design of F low pass filters. So one is using Hamming window and one is using Bartlet window and many more. Okay. You should be practicing more and more because uh these kind of questions there are a lot of questions. If you want some more problems you go and refer my playlist in that I've solved a lot of problems related to the fir filter with the desired frequency responses. So these are the two questions for your practice I've kept it. Okay. One is using having window and one is using bartlet window.
And for more problems you could be referring my videos. Okay. Yeah. So go through the question. One question is fixed guys. And the fourth one I've kept uh some problems related to realizing the system function using cascade form and direct form. Okay. Again two two problems I've kept it uh for cascade and direct form. Go through it. Okay. So for cascade form two questions I've kept it here. Go through it. For direct form also I've kept two questions here. Pause the video and take down the question and try to solve it on your own. Uh the explanations for these two concepts are available in my playlist under module four section. these uh these uh these concepts are explained along with uh where a lot of problems have solved it.
Go and uh access it. Okay. Sixth one is again optional. I don't know for module fourth whether they would be asking programs but if they ask they would be asking the program related to designing the analog lowass or high pass FIR filters or digital low pass or high high pass FR filters. Okay. So again just for the safer side be prepared for that. Now let's get to module module five. Okay, in module five again I've analyzed six questions for you guys. First question is fixed and uh there are high chances that this would be as they would be asking this question because in the in this module five part there are no much problems okay because uh the there are problems related to DF1 DF2 and designing the digital I filter other than that uh problems related to IM method which I've mentioned here there are less chances but still I've kept it but uh they won't be asking it but this question explain the design procedure of analog butterworth lowass prototype filter the high chances of asking this question. Okay. So, please practice it.
And again, one problem related to designing the digital IR filter with the following parameters of minus 3 dB gain at.5 pi radians and uh it has the stop band attenuation of 15 dB at 75 pi radians and the ts is uh time is equal to 15 seconds. Okay. So, this one problem I've kept it. Do practice it.
And one theory question again related to this was there in the previous year backlog paper. So that's why I thought to provide it to you guys that is general mapping properties of bilinear transformation and show the mapping between s plane and z plane. Okay again some of the problems I have kept related to df1 and df2. Okay, two problems have kept it here. That is first one is y of n is equal to 3x 4 y of n -1 - 1x 8 y of n - 2 + x of n + 1x 2 x of n - 1 and second one y of n - 1x 4 y of n - 1 + 1x 8 y of n -2 is equal to x of n +/ of x of nus2. Okay. So these two problems you practice it and for more problems again you could be referring my playlist. And uh fifth question I've kept one theory part uh significance of pre-warping and bilinear transformation. And the last question is some problems related to impulse invariance method IM method. Uh for that you could be referring my videos in that in the fifth module section I've explained beautifully along with some problems related to this IM method. Go and watch it. Okay. So these are the questions from module five. At the end I would like to say that please try to clear this backlog because at this stage of fifth sim because now you are currently passing 6 and going towards seven sem your first aim should be clearing all the backlogs before you enter the final year okay because it would be very hectic afterwards while you reach 7 project work would be high and internship work also would be high everything you won't be getting time for academic that's why try to clear the backlogs for that purpose only this passing package is for you guys only. So please please access this passing package. Share the video. Share the whole playlist of DSP to a huge number those who are not aware of it and please do subscribe to our channel. Like this video, subscribe to our channel guys.
Your subscribe is very very important to us. Okay. So this EC family of us which is representing under VTU should grow a lot lot bigger. Okay. So tell all of your friends to subscribe to this channel and uh all the best and do well try to clear this backlog. Okay, thank you.
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