Is the ability of the human ear better or worse than the sonic capabilities of a CD quality audio system? What can a digital engineer take advantage of because of this fact? Name the four classes of coding methods. Identify whether each compression method is lossy or lossless: Morse Code_____Run Length Encoding_____JPEG_____Say the relative frequencies of four symbols in an alphabet are 1/2,1/4,1/8 and 1/8. What is the entropy (numerical value) of the alphabet? Suppose we want to compress two sound recordings, A and B that are in.WAV format and equally long. If the entropy of A is twice that of B, which recording has a greater amount of randomness? Which recording should we expect to be shorter in compressed form?
Solution
As already short answer provided for other questions except Q10, I am answering it.
10)
Relative frequencies of four symbols in an alphabet are, ½, ¼, 1/8, 1/8,
So P(1) = ½
P(2) = ¼
P(3) = 1/8
P(4) = 1/8
Entropy of the alphabet = H(P) = - [ P(1) logP(1) + P(2) logP(2) + P(3) logP(3)+ P(4) logP(4)]
= - [1/2log(1/2) + ¼ log(1/4) +1/8 log(1/8) +1/8 log(1/8)]
= - [(-0.150514998) + (-0.150514998) + (-0.112886248) + (-0.112886248)]
= 0.526802492
.
Unit-IV; Professional Sales Representative (PSR).pptx
Is the ability of the human ear better or worse than the sonic capabil.docx
1. Is the ability of the human ear better or worse than the sonic capabilities of a CD quality audio
system? What can a digital engineer take advantage of because of this fact? Name the four
classes of coding methods. Identify whether each compression method is lossy or lossless: Morse
Code_____Run Length Encoding_____JPEG_____Say the relative frequencies of four symbols
in an alphabet are 1/2,1/4,1/8 and 1/8. What is the entropy (numerical value) of the alphabet?
Suppose we want to compress two sound recordings, A and B that are in.WAV format and
equally long. If the entropy of A is twice that of B, which recording has a greater amount of
randomness? Which recording should we expect to be shorter in compressed form?
Solution
As already short answer provided for other questions except Q10, I am answering it.
10)
Relative frequencies of four symbols in an alphabet are, ½, ¼, 1/8, 1/8,
So P(1) = ½
P(2) = ¼
P(3) = 1/8
P(4) = 1/8
Entropy of the alphabet = H(P) = - [ P(1) logP(1) + P(2) logP(2) + P(3) logP(3)+ P(4) logP(4)]
= - [1/2log(1/2) + ¼ log(1/4) +1/8 log(1/8) +1/8 log(1/8)]
= - [(-0.150514998) + (-0.150514998) + (-0.112886248) + (-0.112886248)]
= 0.526802492
![Is the ability of the human ear better or worse than the sonic capabilities of a CD quality audio
system? What can a digital engineer take advantage of because of this fact? Name the four
classes of coding methods. Identify whether each compression method is lossy or lossless: Morse
Code_____Run Length Encoding_____JPEG_____Say the relative frequencies of four symbols
in an alphabet are 1/2,1/4,1/8 and 1/8. What is the entropy (numerical value) of the alphabet?
Suppose we want to compress two sound recordings, A and B that are in.WAV format and
equally long. If the entropy of A is twice that of B, which recording has a greater amount of
randomness? Which recording should we expect to be shorter in compressed form?
Solution
As already short answer provided for other questions except Q10, I am answering it.
10)
Relative frequencies of four symbols in an alphabet are, ½, ¼, 1/8, 1/8,
So P(1) = ½
P(2) = ¼
P(3) = 1/8
P(4) = 1/8
Entropy of the alphabet = H(P) = - [ P(1) logP(1) + P(2) logP(2) + P(3) logP(3)+ P(4) logP(4)]
= - [1/2log(1/2) + ¼ log(1/4) +1/8 log(1/8) +1/8 log(1/8)]
= - [(-0.150514998) + (-0.150514998) + (-0.112886248) + (-0.112886248)]
= 0.526802492](https://image.slidesharecdn.com/istheabilityofthehumanearbetterorworsethanthesoniccapabil-230204011436-4c37297d/85/Is-the-ability-of-the-human-ear-better-or-worse-than-the-sonic-capabil-docx-1-320.jpg)
