In the case of DACs, it’s my understanding that delta-sigma is "lossy" (i.e. all of the source PCM music just isn’t converted and played back) whereas an RxR DAC is "lossless", so all of the music is played. And if that is true, it becomes hard to imagine how delta-sigma could possibly ever sound better, regardless of how it is used or any other factor for that matter.
Not true. I think you are maybe confusing this with lossy formats. You can think of the Delta-Sigma as an engine that creates the R2R function repetitively. Instead of having passive banks of resistors to create different voltage levels, it uses a single engine that iterates to create these dynamically.
Delta-Sigma can definitely sound better than R2R, particularly older R2R chips. Newer Delta-Sigma chips not only support 24/192, they have excellent measurements which include very low distortion and noise as well as higher S/N ratio. They tend to reveal more detail at high frequencies too. The older R2R chips are often implemented without any digital filter, so this solves this issue, but it does not solve the high-frequency detail problem.
The thing that sets the Delta-Sigma apart from the R2R is usually the digital filter implementation. If this is executed well, the Delta-Sigma can beat the R2R, depending on implementation and particularly power delivery to the chip.
This is one down-side to R2R discrete implementations. They tend to require much more board space than the Delta-Sigma, so this makes it more difficult to get di/dt power to the devices involved.
A second down-side to R2R discrete implementations is the tolerance of the resistors and their accuracy. The Delta-Sigma only needs one or two circuits to be very accurate. The discrete R2R needs hundreds of individual resistors to be extremely accurate.
A third down side to discrete R2R implementations is the speed at which they can process new words. Because of the distributed nature of the resistor networks and the many drivers needed, it is more difficult to get a really fast response from these circuits, like you would with an single integrated circuit.
Steve N.
Empirical Audio