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 MULTIPLE CHOICE TEST FOURIER TRANSFORM PAIR: FREQUENCY AND TIME DOMAIN FAST FOURIER TRANSFORMS Pick the most appropriate answer.

Q1.  Given two complex numbers: C1=2-3i, and C2=1+4i.  The product P=C1*C2 can be computed as

2+5i

-10+5i

-14+5i

14+5i

Q2.  Given the complex number C1=3+4i.  In polar coordinates, the above complex number can be expressed as C1=Ae , where A and θ  is called the amplitude and phase angle of C1, respectively. The amplitude A can be computed as

3

4

5

7

Q3.  Given the complex number C1=3+4i.  In polar coordinates, the above complex number can be expressed as C1=Ae , where A and θ  is called the amplitude and phase angle of C1, respectively. The phase angle θ in radians can be computed as

0.6435

0.9273
2.864
5.454

Q4.  For the complex number C1=-3+4i, the phase angle θ  in radians can be computed as

0.6435

0.9273

1.206

2.2143

Q5 Given the function

The Fourier transform  which will transform the function from time domain to frequency domain can be computed as

δ(a+t)

e-i(2πf)a

1

δ(t-a)

Q6.  Given the function

.

The inverse Fourier transform ƒnp(t) which will transform the function from frequency domain to time domain can be computed as

eit

e-it

δ(t-0)

e-i(2πf)t

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