Consider a linear, time-invariant, continuous-time system. a) Since the impulse response of the system is given as ℎ (?) = ? (?) - ? (? - ?), calculate the frequency response of the system (??). b)...

Consider a linear, time-invariant, continuous-time system.
a) Since the impulse response of the system is given as ℎ (?) = ? (?) - ? (? - ?), calculate the frequency response of the system (??).
b) Write the Fourier series representation by finding the fundamental frequency of the input signal ? (?) = cos (4000??).
c) Show that the output signal of the system (?) can be obtained by using the Fourier series coefficients of the input signal (?) and the frequency response of the system ? (??).
d) What is the fundamental frequency of the ? (?) sign? Explain why.
e) Write the Fourier series representation of the sign ? (?).

Extracted text: Consider a linear, time-invariant, continuous-time system. a) Since the impulse response of the system is given as h (t) = & (t) - 8 (t - T), calculate the frequency response of the system (jw). b) Write the Fourier series representation by finding the fundamental frequency of the input signal x (t) = cos (4000nt). c) Show that the output signal of the system (t) can be obtained by using the Fourier series coefficients of the input signal (t) and the frequency response of the system H (jw). d) What is the fundamental frequency of the y (t) sign? Explain why. e) Write the Fourier series representation of the sign y (t).