MODULE 2

Question 1

1. STATIC AND DYNAMIC

Answer 1

NOTE: STATIC- present output input
DYNAMIC- past and future

Question 2

2. CAUSAL AND NON-CAUSAL

Answer 2

NOTE: CAUSAL- past and present input output
NON-CAUSAL- future

Question 3

3. LINEAR AND NON-LINEAR

Answer 3

Multiplying coefficients= LINEAR
Time Scaling= LINEAR
Summation of Time Shifted= LINEAR
Added/ subtracted term= NON-LINEAR

Question 4

4. TIME VARIANT AND TIME INVARIANT

Answer 4

Time Scaling and Time Folding= TV
Coefficient should be constant.
Added/ subtracted time dependent term= TV
Piecewise=TV

Question 5

5. STABLE AND UNSTABLE

Question 6

CONVOLUTION INTEGRAL

Answer 6

y(t)=∫_(-∞)^∞▒x(τ)h(t-τ)dτ

Question 7

3. LIMITS OF CONVOLUTION

Answer 7

x(t)*h(t)=a+c<t<b+d

Question 8

4. AREA OF CONVOLUTION

Answer 8

y(t)=∫(-∞)^∞▒〖x(t)h(t)dt=〗 ∫(-∞)^∞▒x(t)dt∙∫_(-∞)^∞▒h(t)dt

Question 9

5. TIME SHIFTING

Answer 9

y(t-a-b)=x(t-a)*h(t-b)

Question 10

6. TIME SCALING

Answer 10

1/|a| y(t)=x(at)*h(at)

Question 11

7. TIME FOLDING

Answer 11

y(-t)=x(-t)*h(-t)

Question 12

8. AMPLITUDE SCALING

Answer 12

aby(t)=ax(t)*bh(t)

Question 13

x(t)*δ(t)

Answer 13

x(t)

Question 14

x(t)*δ(t-k)

Answer 14

x(t-k)

Question 15

x(t)*u(t)

Answer 15

∫_(-∝)^∝▒〖x(t)dt〗

Question 16

u(t)*u(t)

Answer 16

r(t)

Question 17

u(t-a)*u(t-b)

Answer 17

r(t-a-b)

Question 18

e^(-at) u(t)*u(t)

Answer 18

(1-e^(-at))/a u(t)

Question 19

CONVOLUTION SUMMATION

Answer 19

y(n)=∑_(-∞)^∞▒x(k)h(n-k)

Question 20

4. SUM OF SAMPLES

Answer 20

∑(n= -∞)^∞▒y(n) =(∑(n=-∞)^∞▒x(k) )(∑_(n=-∞)^∞▒h(n-k) )

Question 21

5. LENGTH OF THE OUTPUT

Answer 21

L_Y=L_X+L_H-1

Question 22

x(n)*δ(n)

Answer 22

x(n)

Question 23

x(n)*δ(n-k)

Answer 23

x(n-k)

Question 24

x(n)*u(n)

Answer 24

∑_(n=-∝)^∝▒〖x(n)〗

Question 25

u(n)*u(n)

Answer 25

r(n+1)

Question 26

u(n-a)*u(n-b)

Answer 26

r(n+1-a-b)