Projects

ASSIGNMENT | February 10
2011
| SIGNALS AND SYSTEMS ASSIGNMENT SUBMITTED BY ALL THE STUDENTS OF ELECTRONICS AND TELECOMMUNICATION | |

EVEN AND ODD SIGNAL QUESTIONS

Sketch the following signals and determine and sketch their even and odd componenets: 1) x(t)=0.8t;0≤t≤40;otherwise

2) x(t)=1;0≤n≤40;otherwise

3) x(t)=10e-2tu(t)

4) x(t)=n for 1≤n≤30;otherwise

5) x(t)=sint+2sint+2sin2tcost

6) x(t)=cost + sin t + cost sin t

7) x(t)=4ejt+3π4u(t)

8) y(t)=x(t)sin100πt

9) y(t)=10x(t)+5

10) y(t)=x2t-t0+2

11) x(t)= cos (10πt).u(2-t)

12) x(t)=ejt

13) x(t)=sin(w0t+π4)

14) x(t)=(1+t3)cos310t

15) x(t)=1+t+3t2+5t3+9t4

16) x(n)=sin(5n) cos (7n)

17) x(t)=e-2tcost

18) Let x(t) be an arbitrary signal with even and odd parts denoted by xet and x0t, respectively. show that

-∞∞x2tdt = -∞∞xe2tdt+-∞∞x02tdt

Let x[n] be an arbitrary sequence with even and odd parts denoted by xe[n] and x0[n], respectively. Show that n=-∞∞x2n= n=-∞∞xe2n+n=-∞∞x02[n]

19) x(t)=u(t)-r(t-1)+2r(t-2)-r(t-3)+u(t-4)-2u(t-5)

20) Show that if x1n is an odd signal and x2n is an even signal, then x1n.x2n is an odd signal.

21) Find the even and odd components of x(n)={3,2,1,4,5}. 22) Find even and odd components of the given signal

23) Find even and odd components of the signal

24) Find even and odd components of the given signal

25) Find even and odd components of the signal

26) Draw the even and odd representations of the signal

27) Decompose the signal shown into its odd and even parts?