Fall 2024-25 Section A: Multiple choice -60 points. 1. The What is the primary purpose of using a Fourier series? a) To transform signals from the frequency domain to the time domain b) To represent any periodic signal as a sum of simpler sinusoidal components c) To analyze non -periodic signals d) To solve algebraic equations e) None 2. Which of the following is not an application of the Fourier series? a) Signal processing b) Audio compression c) Modulation and demodulation of signals d) Control Systems e) None 3. The Fourier Transform is applicable to which types of signals? a) Only periodic signals b) Only aperiodic signals c) Both periodic and aperiodic signals d) Only discrete signals e) None 4. Which property differentiates the Fourier Transform (FT)from the Fourier Series (FS)? a) FT is limited to discrete-time signals b) FS can be used for aperiodic signals c) FT is used for both periodic and aperiodic signals, while FS is for periodic signals d) FS transforms signals from the frequency domain to the time domain e) None 5. What is one primary use of the Laplace Transform? a) Solving difference equations b) Converting differential equations into algebraic equat c) Analyzing image signals d) Enhancing audio signals e) None 6. Which of the following methods is not used to compute the Inverse Laplace Transform? a) Partial fraction decomposition b) Complex inversion formula c) Lookup d) Power series expansion e) None . What type of signals is the Z-Transform specifically used for? a) Continuous-time signals b) Discrete-time signals c) Analog signals d) Aperiodic signals e) None