he Python code for synthesizing a periodic signal with inputs: length T (in seconds), Fourier nts {ao,...,an}, fundamental frequency fo, and sampling rate F, (in Hz).

a) Make a plot of the normalized fft magnitude as a function of frequency (real frequency in Hz). Only display the frequency range between -1kHz and 1kHz. b) On the same figure as part (c), superimpose the magnitude of the Fourier series coefficients, |??|, as a function of frequency as a stem plot. Again, only display the frequency range between -1kHz and 1kHz. How well do they compare? Hint*: Consider making a frequency vector containing only the Fourier harmonic frequencie

2) Describe: a) various types of Signals, b) The idea behind Fourier Transform, c) Analog to Digital Conversion, Nyquist Sampling Theorem, d) Errors associated with A to D conversion that are related to Nyquist Sampling Theorem.

Q. Suppose that you have an angle modulaton system with an input signal £01) s wiangle wave of fundamental frequency 5 kiz and its most power is concentrated in the frst third harmonics, the masimum and minimu voltage ae | and -1 espectively. where one period equation of theinput s o[BIl 0