3. (30 points) A continuous-time signal x( t ) is shown in...

3. (30 points) A continuous-time signal x( t ) is shown in Fig. 1. Sketch and label carefully each of the following signals: a) x( t- 2.5) b) x( 2 – t) c) x (2t + 1) x(t) -4 -2 0 2 4 t Fig.1

Transcript

00:01 So x t the graph of x t is given the graph of x t is given we need to plot in different plots for example the first plot is x of t minus 2 .5 x of t minus 2 .5 for the first plot so x of t minus 2 .5 for the first plot so x of t minus 2 .5 that means entire graph entire graph has shifted entire graph shifted 2 .5 we need to right to uh 2 .5 unit right entire graph has shifted 2 .5 unit right so so the graph would be so i just need to shift this entire unit 2 .5 so this is over here 2 .5 suppose the 2 .5 so this entire graph will shift by 2 .5 unit so it will go over here that is half suppose and then so this would be the graph and from here so again it is going to unit to the left so from here two unit also it would be over here so so this would be the new graph this from the midpoint till here then here and the exact same graph would be just just shift 2 .5 unit to the right so the red one is the graph for there now moving to the second in the second part we need to find the 2 minus t we need to find x of 2 minus t so for this will first find x of minus t and later from here will find the x of minus t plus 2 so x of minus t would be x of minus t would be the replica x of minus t would be the replica or with will be the mirror image about the x x x x would be the mirror image about the y x so well so it would be so this green one is so this green one is a x of minus t the green one is x of minus t so we so this green one is the x of minus t and now uh in this graph we are adding plus two that means left shift of two units left shift left shift of two units so we have to shift this entire graph for two unit left two unit toward the left two unit toward the left so so so this will be not left it would be a right because we are considered a negative one so two unit towards we right so we'll shift this graph so now the graph would be we will shift this green graph toward the right so this will come over here then there and again this then there's a of two unit slant and then so the red one is the graph of t minus x of t minus two so this is the graph of x of t minus two let me clear this so it will be more clear so this will this is the graph of x of t minus 2.

04:28 Now moving to the third part.

04:32 So in third we need to find x of 2t plus 1...

Question

3. (30 points) A continuous-time signal x( t ) is shown in Fig. 1. Sketch and label carefully each of the following signals: a) x( t- 2.5) b) x( 2 – t) c) x (2t + 1) x(t) -4 -2 0 2 4 t Fig.1

Please give Ace some feedback