I googled for "TI Purepath" and found some stuff off their website. I'm sure you can find a better explaination if you dig around.
"Q: How are digital amplifiers different?
A: A digital amplifier incorporates a switching output stage that operates according to a principle known as pulse width modulation (PWM). In contrast to the low-frequency control signal used in a conventional analog amplifier output stage, the switching output stage of a TDAA is controlled by a high-frequency digital signal. The high-frequency digital signal is a PWM signal, in which the music is modulated into a fixed-frequency carrier signal. In a TDAA, the modulation process is based on a digital pulse code modulated (PCM) representation of the music signal (or other signal that needs amplification) from a CD player, a DVD player, or some other device.
Q: What is a true digital audio amplifier?
A: A TDAA is the combination of (i) a very high performance algorithm that enables artifact free PCM to PWM conversion, and (ii) a switching output stage (see Figure 1).The digital amplification technology causes the amplifier to have a different out-of-band spectrum compared to conventional amplifiers, i.e., a spectrum that requires attention to produce correct measurements of such audio parameters as dynamic range (DR) and distortion plus noise (THD+N). In principle, a full-bridge TDAA output stage consists of two sets of switches that are controlled on/off by the PWM signal. This way, the small-signal PWM control signal is converted into a power signal with an amplitude corresponding to the output-stage supply voltage. The resulting output is demodulated in a low-pass filter which reconstructs an amplified version of the original input signal waveform, for example, music. The typical demodulation filter is a simple, passive, second-order filter located just prior to the speaker connector. It is interesting to note that the only analog signal path in a TDAA is the demodulation filter.
Q: What are the features of TI’s proprietary digital amplification technology?
A: • High power efficiency, i.e., no heat sinks, no fans • All digital, easy to integrate with digital front-end • SMD technology • Low weight • Small size • EMC compliant • High sonic capability
-- Excerpted from: Digital Audio Measurements, TI application report, 1/2001, Claus Neesgaard