Principle
The principle of the ΔΣ architecture is explained at length in section 2. Initially, when a sequence starts, the circuit will have an arbitrary state which is dependant on the integral of all previous history. In mathematical terms this corresponds to the arbitrary integration constant of the indefinite integral. This follows from the fact that at the heart of the method there is an integrator which can have any arbitrary state dependant on previous input, see Fig. 1c (d). From the occurrence of the first pulse onward the frequency of the pulse stream is proportional to the input voltage to be transformed. A demonstration applet is available online to simulate the whole architecture.
Read more about this topic: Delta-sigma Modulation
Famous quotes containing the word principle:
“We seem to be pariahs alike in the visible and the invisible world, with no foothold anywhere, though by every principle of government and religion we should have an equal place on this planet.”
—Elizabeth Cady Stanton (1815–1902)
“Country people do not behave as if they think life is short; they live on the principle that it is long, and savor variations of the kind best appreciated if most days are the same.”
—Edward Hoagland (b. 1932)
“On principle I dislike an oath which requires a man to swear he has not done wrong. It rejects the Christian principle of forgiveness on terms of repentance. I think it is enough if the man does no wrong hereafter.”
—Abraham Lincoln (1809–1865)