Quiz Chapter 11.03: Fourier Transform Pair: Frequency and Time Domain

MULTIPLE CHOICE TEST

(All Tests)

FOURIER TRANSFORM PAIR: FREQUENCY AND TIME DOMAIN

(More on Fourier Transform Pair: Time and Frequency Domain)

FAST FOURIER TRANSFORMS

(More on Fast Fourier Transforms)


Pick the most appropriate answer


1. Given two complex numbers: C_{1}=2-3i, and C_{2}=1+4i. The product P=C_{1} \times C_{2} can be computed as

 
 
 
 

2. Given the complex number C_{1} = 3 + 4i. In polar coordinates, the complex number can be expressed as C_{1} = Ae^{i\theta}, where A and \theta are called the amplitude and phase angle of C_{1}, respectively. The amplitude A can be computed as

 
 
 
 

3. Given the complex number C_{1} = 3 + 4i. In polar coordinates the complex number can be expressed as C_{1} = Ae^{i\theta}, where A and \theta are called the amplitude and phase angle of C_{1}, respectively. The phase angle \theta in radians can be computed as

 
 
 
 

4. For the complex number C_{1} = -3+4i, the phase angle \theta in radians can be computed as

 
 
 
 

5. Given the function

      • f_{np}(t) = \delta(t-a) = \left\{\begin{matrix} 1, \, if \, \, t=a\\0,\,elsewhere \end{matrix}\right.

The Fourier transform F(iw_{0}) which will transform the function from time domain to frequency domain can be computed as

 
 
 
 

6. Given the function

      • \hat{F}(iw_{0}) = 1

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