According to a study1 , “the main melody (spectral/pitch information) is most of

Question

According to a study1 , “the main melody (spectral/pitch information) is most often carried by the highest-pitched voice, and the rhythm (temporal foundation) is most often laid down by the lowest-pitched voice.” In particular, the study used neural recordings to show that rhythmic timing information is carried in lower-pitched sound sources. In order to test this notion, you need to design a filter to cut the high-frequency components of a provided song recording that has strong beat. The desired specifications for the design is a Butterworth filter operating at 44,100 Hz sampling rate, with a stopband attenuation of 45 dB at 1,000 Hz and at least -0.9 dB passband edge at 500 Hz.

What type of filter (e.g., lowpass, highpass) do you need to design? Explain your reasoning.

Explanation / Answer

We need to design a low pass filter as it is mentioned in question that " rhythmic timing information is carried in lower-pitched sound sources. " and also we have to cut down high frequency components. The butterworth filter that can be used is a series combination of Rc where o/p is taken across capacitor. The cut off freq. is given by 1/(2*pi*RC) should be equal to 1000. Assuming R = 1k gives C equals to 0.154 uf

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