Question

In python • Generate a real-valued (sampled) sinusoid signal and display as a function of time (in seconds). • Compute the DFT of the signal and display in the same figure the real and imaginary parts of the DFT as well as its magnitude and phase all as a function of frequency (a total of 5 graphs in one figure). Label the frequency axis in Hz. • Test empirically which is the highest frequency you can represent. Show an example above and below that frequency in the time. • Generate a complex valued sinusoid with negative frequency; display it in the time domain and frequency domain. Contrast that to a sinusoid of positive frequency. • Generate a sinusoidal signal at some frequency f plus a sinusoid at 2f and downsample it to a new sampling rate of fs=3.5*f while avoiding aliasing. Display the absolute value of the DFT before and after down-sampling. Label the frequency axis in Hz.

          In python
• Generate a real-valued (sampled) sinusoid signal and display as a function of time (in
seconds).
• Compute the DFT of the signal and display in the same figure the real and imaginary
parts of the DFT as well as its magnitude and phase all as a function of frequency (a
total of 5 graphs in one figure). Label the frequency axis in Hz.
• Test empirically which is the highest frequency you can represent. Show an example
above and below that frequency in the time.
• Generate a complex valued sinusoid with negative frequency; display it in the time
domain and frequency domain. Contrast that to a sinusoid of positive frequency.
• Generate a sinusoidal signal at some frequency f plus a sinusoid at 2f and
downsample it to a new sampling rate of fs=3.5*f while avoiding aliasing. Display the
absolute value of the DFT before and after down-sampling. Label the frequency axis
in Hz.

In python
• Generate a real-valued (sampled) sinusoid signal and display as a function of time (in
seconds).
• Compute the DFT of the signal and display in the same figure the real and imaginary
parts of the DFT as well as its magnitude and phase all as a function of frequency (a
total of 5 graphs in one figure). Label the frequency axis in Hz.
• Test empirically which is the highest frequency you can represent. Show an example
above and below that frequency in the time.
• Generate a complex valued sinusoid with negative frequency; display it in the time
domain and frequency domain. Contrast that to a sinusoid of positive frequency.
• Generate a sinusoidal signal at some frequency f plus a sinusoid at 2f and
downsample it to a new sampling rate of fs=3.5*f while avoiding aliasing. Display the
absolute value of the DFT before and after down-sampling. Label the frequency axis
in Hz.

Added by Samantha B.

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