Final answer:
To calculate the Fourier transform of a unit triangular pulse signal, you would integrate the product of the signal and the complex exponential, though applying the convolution theorem is also viable.
Step-by-step explanation:
To calculate the Fourier transform of a unit triangular pulse signal, you would typically integrate the product of the signal and the complex exponential, as indicated in option c). This integration approach allows you to transform a function of time into a function of frequency. Option b), applying the convolution theorem, is also a valid technique used when working with Fourier transforms, especially when dealing with signals that can be expressed as the convolution of simpler signals. Option a), using the Laplace transform method, is more commonly applied to systems with exponential growth or decay rather than periodic signals. Lastly, option d), using the Fourier series expansion method, would not be the standard means for a non-periodic unit pulse signal but rather for periodic signals.