Original audio signal, CD-quality, and Hi-Res music reconstructions (a simple comparison)

What's the difference between CD-quality music and Hi-Res music. 


This is a follow up to the previous blog regarding valid claim vs valid but not absolute claim"

Some people on various on-line audio science forums claim that "Hi-Res is useless" and "you cannot hear the difference between the CD-quality music and Hi-Res music".

You may ask, "Really? Is Hi-Res music really useless?"

Well. Let's check together with our critical thinking!

(note: this is a high level comparison between CD-Quality format and Hi-Res format. It should give you a good starting point for your own investigation)

Reconstruct music from CD-quality format

The following graph (Figure 1) shows the original analog input signal (a perfect sine wave)

Figure 1: Original analog input signal (a perfect sine wave

As the final audio signal reconstruction process can never be perfect , the reconstructed analog signal looks like a "smooth" sine wave but, in fact, it is smeared due to 16-bit quantization and other artifacts introduced during the ADC and DAC process as shown on Figure 2 below:
(note: in Monty's video, it claims that "the analog signal can be reconstructed "losslessly, smoothly, and with the exact timing of the original signal [by using CD fromat]" which I disagreed)



Figure 2: the reconsturcted sine wave is smeared due to 16-bit quantization and other artifacts introduced in the ADC and DAC process (simulated to show the effects of reconstruction artifacts). 
Note 1: the level of smearing may not be in scale with the actual output from a DAC with "perfect" filter as the above graph is for indicating the effects of artifacts in the reconstruction process)
Note 2: Dithering is one of the source of the smearing.

On my previous blog, I compared the original analog input signal (Figure 1) vs the analog signal reconstructed using CD quality format, i.e. 44 kHz / 16 bit format (Figure 2). It shows clearly that the final audio signal (i.e. the reconsturcted sine wave) is smeared due to 16-bit quantization and other artifacts introduced in the ADC and DAC process.

Does Hi Res help to reconstruct better music?

Let's look at the following graph (Figure 3) that shows the ouput of the same analog input signal. (The graph is a simulated graph with 24-bit quantization. The smearing is much reduced due to 24-bit quantization. As you can see here, the degree of smearing is less than the one shown on Figure 2 for CD-quality format).




Figure 3the reconsturcted sine wave is smeared due to 24-bit quantization and other artifacts introduced in the ADC and DAC process (simulated to show the effects of reconstruction artifacts). The degree of smearing is much less than the one with 16-bit quantization that is used by the CD-quality format.
Note 1: the level of smearing may not be in scale with the actual output from a DAC with "perfect" filter as the above graph is for indicating the effects of artifacts in the reconstruction process
Note 2: Dithering is one of the source of the smearing.

Why Hi-Res has less smearing when compared with CD-quality format?

For Hi-Res, there are 16,777,216 different levels (24-bit) to digitize the amplitude of the analog input signal;

For CD format, there are only 65,536 different levels (16-bit) to digitized the amplitude of the same analog input signal (i.e. Hi-Res is 256x better than CD format in terms of number of levels for digitizing the amplitude of the analog input signal).

Which one you need? CD format or Hi-Res?


It all depends on if you can hear the difference between the reconstructed audio signal in Hi-Res format (the blue one with smearing) and the one in CD-quality format (the red one with worser smearing).

If you cannot hear the difference, CD format would probably be good enough for you. However, if you can hear the difference, Hi-Res would help your system to reconstruct better final audio output for your enjoyment.

No matter what format you use, enjoy your good music and let's debunk pseudo science together with our critical thinking. Yeah! 

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