continuous time signal x(t) = cos(400*pi*t) is sampled at Ts = 1/300s. a) draw the continuous time fourier transform Xs(j omega) of the sampled signal. b) aslo draw DTFT spectrum  c) does aliasing occur? what is the reconstructed signal?

Consider the following continous time signal x(t).  Assume that the signal was sampled at a sampling frequency of 20 Hz.  Plot the magnitude spectrum of the sampled signal as a function of cyclic frequency. Be sure to include n values of up to +-2. Label x and y axis.  Did aliasing occur? If so, what is the aliased frequency? x(t) = 1 + 2cos(2pi25t)

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.