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

 MULTIPLE CHOICE TEST FOURIER TRANSFORM PAIR: FREQUENCY AND TIME DOMAIN FAST FOURIER TRANSFORMS

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