1) Take a look at the sinusoid in Exercise 1, Problem 1. How many samples would you need to delay the recording by to make a sinusoid that is perfectly out of phase with the original?
2) Without adjusting either signals' level, mix the sinusoid from Exercise 1, Problem 1, with the sinusoid from Exercise 2, Problem 1. What is the estimated peak amplitude of the resulting signal?
3) 18th century Viennese pianos have 2 strings per note. Yours is fairly out of tune. You press a single key corresponding to strings with frequencies 440 Hz and 450 Hz. What is the frequency at which the resulting sound "beats"?
4) In a fit of indiscretion, you multiply a 15 kHz sinusoid by a 12 Khz sinusoid, recording it at a sample rate of 40 kHz. What two frequencies result?
Home Lab:
The homelab can be found here, after
the numbered questions, under the heading "Project". Answer
the questions related to this lab and include them with your
responses to the Problem Set.
Just a note: "perfectly out of phase" means the phase difference is pi radians.
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