FLIPPED CLASSROOM ACTIVITY Subject Digital Signal Processing This

FLIPPED CLASSROOM ACTIVITY Subject: Digital Signal Processing This work created by Mr. Ramgopal Sahu is licensed under the Creative Commons Attribution. Non. Commercial 4. 0 International License. – CC- BY- NC. IDP in Educational Technology, IIT Bombay

Table of Contents SECTION SLIDE # ABOUT ME 3 OUT-OF-CLASS SEGMENT 6 IN-CLASS SEGMENT 10 PEER INSTRUCTION 14 THINK PAIR SHARE ACTIVITY 17 JUSTIFICATION – ACTIVE LEARNING STRATEGY. 21 IDP in Educational Technology, IIT Bombay 2

About Me: I am Mr Ramgopal Sahu, Assistant Professor in Electronics and Telecommunication Department at PES Modern College of Engineering Pune-05. My area of interest are signal processing and communication. IDP in Educational Technology, IIT Bombay 3

Mr Ramgopal Sahu LINEARITY & TIME INVARIANCE PROPERTY & LINEAR CONVOLUTION DIGITAL SIGNAL PROCESSING ELECTRONICS & TELECOMMUNICATION 3 rd YEAR UG STUDENTS IN E &TC ENGINEERING SAVITRYBAI PHULE PUNE UNIVERSITY/PES’s MODERN COLLEGE OF ENGINEERING Pune IDP in Educational Technology, IIT Bombay 4

About Topic • Properties of discrete time systems are very much important to simplify the system response with easiest way. • Linear convolution tells us what will be the system response if one input & the systems response is given. • Students can easily analyze the system’s performance by using two basic properties & concept of linear convolution. IDP in Educational Technology, IIT Bombay 5

Out-of-class Activity Design -1 Learning Objective(s) of Out-of-Class Activity At the end of watching the videos student should be able to: 1. Understand & Prove the Linearity & Time invariance Properties of Discrete time systems. 2. Understand Linear convolution of two sequences 3. Simplify convolution of two sequences using formula Key Concept(s) to be covered • Linearity & Time invariance Properties • Formula for Linear convolution IDP in Educational Technology, IIT Bombay 6

Out-of-class Activity Design - 2 Main Video Source URL: 1. https: //ocw. mit. edu/resources/res-6 -007 -signals-and-systems-spring 2011/video-lectures/lecture-4 -convolution/ 2. https: //www. youtube. com/watch? v=Ian. Yg 7 ujpo 0&feature=youtu. be 3. https: //youtu. be/Go 9 GRJMPb. XY License of Video: 1. Non Commercial-Share. Alike 4. 0 International (CC BY-NC-SA 4. 0) 2. Creative Commons Attribution-Share. Alike - CC BY-SA. IDP in Educational Technology, IIT Bombay 7

Out-of-class Activity Design - 2 Mapping Concept to Video Source CONCEPT Linearity, Time invariance Properties & Convolution Linear Convolution TOTAL DURATION: VIDEO SEGMENT DURATION (in min) V 1 - 1. 44 – 9. 54 V 2 – 26. 14 – 36. 14 V 3 – 0. 22 -10. 22 10 10 10 30 minutes IDP in Educational Technology, IIT Bombay 8

Out-of-class Activity Design - 3 Aligning Assessment with Learning Objective 1. Understand Linearity & Time invariance Property 2. Understand Linear convolution of two sequences 3. Simplify convolution of two sequences using formula Assessment Strategy Expected duration (in min) 1. Prove: Linearity Property Time invariance Property (4 Marks) 2. Determine if following systems are time invariant or time variant. i) y(n) = x(n) + x(n-1) iv) y(n) =e x(n) ii) y (n) = x(-n) v) y(n) = iii) y(n) = nx(n) vi) y(n) = x(n) + nx(n+1) ( 6 Marks) 3. Find Linear Convolution x 1(n) = {1, 2, 2, 0} X 2(n)= {1, 2, 3, 4} (10 Marks) Total Duration: 40 minutes IDP in Educational Technology, IIT Bombay 20 10 10 Additional Instructions (if any) • Watch V 1 and then answer Q 1 &Q 2. • Watch V 1, V 2 & V 3 and then answer Q 3 Instructor specifies: • 5 marks for submitting assignment on time. • Assessment submission will be linked to attendance & will have 5 marks for attendance. 9

About In-Class Segment § In-Class segment contain activities like • § § Students are required to think first on the given topic, discuss with peers, write, reflect and express their thinking. Engage students in higher-order thinking (Analyze-Evaluate-Create). Students comprehensive level is increased. Students are analyzing problem on designing for class. Think – Pair - Share IDP in Educational Technology, IIT Bombay 10

In-class Activity Design -1 Learning Objective(s) of In - Class Activity § § Analyze the discrete signal & system using linearity & time invariance properties. Analyze system by finding the linear convolution of two sequences Key Concept(s) to be covered § § Use of properties in solving the numerical. Solve linear convolution of two sequences. IDP in Educational Technology, IIT Bombay 11

In-class Activity Design -2 Active Learning activity(ies) that you plan to do Think – Pair - Share Explain the strategy by giving details of 1. Teacher will pose questions on the respective topic 2. Student will think, discuss with peers, write, reflect and express their thinking. Justify why the above is an active learning strategy § § This activity engages students in higher-order thinking (Analyze-Evaluate-Create). Students are analyzing problem. IDP in Educational Technology, IIT Bombay 12

In-class Activity Design -2 Active Learning activity(ies) that you plan to do Real world problem solving using. § Think-Pair-Share Concept clarification using. § Peer Instruction IDP in Educational Technology, IIT Bombay 13

In-class Activity Design -2 Peer Instruction Strategy – What Teacher Does Teacher pose the two PI questions at the start of the class and provide summary of two basic properties and linear convolution. Q 1: Whether the output of both systems shown in following figure are same? Justify your answer. IDP in Educational Technology, IIT Bombay 14

In-class Activity Design -2 Peer Instruction Strategy – What Teacher Does Q 2: What will be the response of following system, if input to the system is x(n) = {1, 2, 3, 4} & system response h(n) = {1, 1, 0, 0} IDP in Educational Technology, IIT Bombay 15

In-class Activity Design -2 Peer Instruction Strategy – What Student Does § § § For each question they will first vote individually. Then they will discuss with peers and come to consensus. Listen to instructors explanation. IDP in Educational Technology, IIT Bombay 16

In-class Activity Design -2 TPS Strategy – What Instructor does Instructor will asked the students to: 1. Summarize or recall first, linearity & time invariance property & linear convolution. (Formulae, statement etc. . ) 2. Look at the both diagrams given in Q. 1 & Q. 2 3. Think on the property, where we can use any of the learned property. 4. Individually vote for the answer. 5. Make pair with neighbor. 6. Discuss with peer & come to the conclusion. 7. At the end, describe the answers. IDP in Educational Technology, IIT Bombay 17

In-class Activity Design -2 TPS Strategy – What Instructor does Think (~ 5 minutes) Instruction: 1. Think individually on the two given properties & assume a 1 = a 2 = 10, x 1(n)= {1, 2, 3, 4} X 2(n)={1, 2, 2, 0} 2. Look at the given figures. 3. Apply the inputs. 4. Select the appropriate property & convolution formula. 5. Find the answers for both the figures of Q. 1 & Q. 2. 6. Keep your answer in your mind or write on your notebook. IDP in Educational Technology, IIT Bombay 18

In-class Activity Design -2 TPS Strategy – What Instructor does Pair (~5 minutes) Instruction: 1. Now pair up and compare your answers. 2. Agree on one final answer. 3. While students are pairing and discussing, instructor goes to 2~3 sections to see what they are doing. 4. Now after pairing, instructor will try to find out whether all students have selected the same property & formula. 5. If require, I will give hints to remember the video seen in out of class activity. IDP in Educational Technology, IIT Bombay 19

In-class Activity Design -2 TPS Strategy – What Instructor does Share (~10 minutes) 1. Instructor asks a group to share their answer with class. 2. Check whethere are different answers. 3. After sharing is done, instructor gives feedback on the correct solution and how to use linearity property for first question. 4. Instructor will also explain major role of linear convolution in 2 nd question. In the next iteration of TPS, • In the Think Phase, the students should ask himself, can we use next property in solving the Q. 1 • In the pair phase we ask students to compare the answers. • In the share phase again the different answers are sought & come to the final answer. 20 IDP in Educational Technology, IIT Bombay

In-class Activity Design -2 Justify why the above is an active learning strategy • In both the above strategies, students are required to go beyond mere listening and execution of prescribed steps. • They are required to think deeply about the content they were familiarized in out-of-class and do higher order thinking. • Students are continuously busy in doing things/task. • In this they could also understand the target audience and also various individual analysis. So above TPS and PI activities are Active Learning Strategy. IDP in Educational Technology, IIT Bombay 21