a. What is the mathematical relationship between frequency response, H(f), and impulse response, h(t), of a system?
b. What is Euler's Formula?
c. An amplifier is designed to have a gain of 20. What is the gain in dB (decibels)?
d. Express x(t) = 4cos(100-t) + 2cos(250t) in terms of exponential functions.
e. Taking the Fourier transform of 2000 data sampled at 5000 Hz. What is the frequency resolution used in the analysis?