Signal Analysis Assignment Electrical Engineering Department PDF

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Electrical Engineering Department Assignment 1 (Due : 23/10/2013)( (Signal Classification) 1 - A continuous-time signal x(t) is shown in figure 1. Sketch and label each of the following signals. a. x(t-2); b. x(2t) c. x(t/2) d. x(-t) Figure 1 Signal Analysis Assignment Page 1 2. A discrete-time sign...

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Electrical Engineering Department

Assignment 1 (Due : 23/10/2013)( (Signal Classification) 1 - A continuous-time signal x(t) is shown in figure 1. Sketch and label each of the following signals. a. x(t-2);

b. x(2t)

c. x(t/2)

d. x(-t)

Figure 1

Signal Analysis Assignment

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2. A discrete-time signal x (n) is shown in figure 2. . Sketch and label each of the following signals. a. x(n – 2);

b. x(2n);

c. x (-n) ;

d. x (-n + 2)

Figure 2

Solution

Signal Analysis Assignment

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3. Find the even and odd components of x(t) = exp(jt).

Solution

4. Show that the product of two even signals or of two odd signals is an even signal and that the product of an even and an odd signal is an odd signal.

Solution

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5. Does the sinusoidal signal

x ( t ) = cos(wot + θ) Periodic or non-periodic signal; if it is periodic; find its fundamental period.

Solution

6. Let x1(t) and x2(t) be periodic signals with fundamental periods T1 and T2, respectively. Under what conditions is the sum x(t) = x1(t) + x2(t) periodic, and what is the fundamental period of x(t) if it is periodic?

Solution

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7. A continuous-time signal x(t) is shown in Figure (3). Sketch and label each of the following signals. a. x(t) u(1-t) ;

b. x(t)[u(t) – u(t-1)] ;

c. x(t)δ(t-3/2).

Figure 3

Solution

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8. Sketch and label the even and odd components of the signals shown in Figure 4.

Solution

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===================== ==Good Luck =====================

Signal Analysis Assignment

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