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 MULTIPLE CHOICE TEST CONTINUOUS FOURIER TRANSFORMS FAST FOURIER TRANSFORMS Pick the most appropriate answer.

Q1.  Which of the following is an even function of t ?

t2

t2-4t

sin(2t)+3t

t3+6

Q2. A “periodic function” is given by a function which

has a period T=

satisfies f(t+T)=f(t)

satisfies f(t+T)=  - f(t)

has a period T=

Q3. Given the following periodic function, f(t).

The coefficient a0 of the continuous Fourier series associated with the above given function f(t) can be computed as

8/9

16/9

24/9**

32/9

Q4.  For the given periodic function

.

The coefficient b1 of the continuous Fourier series associated with the given function f(t) can be computed as

-75.6800

-7.5680

-6.8968

-0.7468

Q5 For the given periodic function

with a period T=6 . The Fourier coefficient a1 can be computed as

-9.2642

-8.1275

-0.9119

-0.5116

Q6. For the given periodic function

with a period T=6 as shown in Problem 5. The complex form of the Fourier series can be expressed as

.

The complex coefficient   can be expressed as

0.4560 + 0.3734i

0.4560 - 0.3734i

-0.4560 + 0.3734i

0.3734 - 0.4560i

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