Problem 5:The Fourier series for a sawtooth wave with a period of T = 4 [sec] and amplitude of A in units of volts is given in equation 2. Write

the equation for the infinite series summation of the output signal s, (t) if the signal is sent through a high pass filter for a given time constant T. Assume the sensitivity of the system is K=1 [V/V]. s_{i}(t)=\frac{2 A}{\pi} \sum_{n=1}^{\infty} \frac{(-1)^{n+1}}{n} \sin \left(\frac{n \pi}{2} t\right)