Q1. Answer the following with suitable graph: (a) Define using mathematical expressions: i) Unit step function ii) Unit impulse function iii) Unit ramp function iv) Relation betwee... Q1. Answer the following with suitable graph: (a) Define using mathematical expressions: i) Unit step function ii) Unit impulse function iii) Unit ramp function iv) Relation between all three of them. b) A signal x(t) is given, sketch the following signals: i) x(t+6) ii) x(-t+6) iii) x(-10t+4) iv) 3.x(t-2) v) 3.x(t-2) - x(-t+2). c) Check whether the signal is power signal or energy signal: i) x(t)=sin2t ii) x(t)=(1-e^(-5t))u(t) iii) x(t)=2e^(t/4) u(t). d) Determine and sketch the even and odd components of the continuous-time signal: i) x(t)=e^(-t)u(t) ii) x(n)={5, 4, 6, 7, 9}. e) Calculate the following integrals: i) ∫(2+sint)δ(t-10) dt ii) ∫(t^2 - 2) dt iii) ∫(0 to ∞)(cos2t + sin3t) dt. Q2. Show that if x1[n] is odd signal and x2[n] is an even signal, then x1[n] + x2[n] is an odd signal. Q3. Check whether the following signals are periodic or not, if periodic then find the fundamental period: i) x(t)=u(t)-2.u(t-5) ii) x(t)=6e^(j(t+9π/3))+8e^(j3t+4) iii) x(n)=1+e^(j2πn/3)+ej4n/7 iv) x(t)=4sin(t/2+Φ). Q4. Determine and sketch the even and odd components of the signal: i) x(t)=e^(-t).u(t) ii) x(n)={5, 4, 6, 7, 9}. Q5. Check whether the signal is power signal or energy signal: i) x(t)=cos(2πt) ii) x(t)=sin^2(ωt) iii) x(t)=(1-e^(-5t)).u(t). Q6. Explain the power and energy signals. Explain their relationship with periodicity. Q7. Classify different types of signals and give suitable examples. Read more