sample rate conversion pro tools vs dsp quattro

That is, the spectrum of an impulse train in time is an impulse train in frequency.In the time domain, the impulses are spaced at multiples of the sampling period, and in the frequency domain at multiples of the sampling frequency. The spectrum of the impulse train we’re using to multiply the input signal looks like this:

Here we’re showing positive and negative frequencies, in order to make the following more obvious. So, we can represent the spectral limits of the signal by showing the response curve of the low-pass filter: While our original signal can be anything, we must limit the frequency spectrum of the signal we sample to half the sampling rate-again, we ensure this condition by placing a low-pass filter before the sampling stage. We measure the height of each modulated pulse, and store the numerical values as our samples. The result is a pulse-amplitude modulated signal. The input signal, after filtering to ensure our bandwidth condition, is modulated (multiplied) by a pulse train of unit amplitude. The sampling process-basically taking repeated measurements as a fixed interval-can be viewed in a number of ways here’s one that can help us understand some important aspects of sampling: To ensure that we don’t violate that condition, we preface the analog to digital conversion with a low pass filter, set to pass frequencies below half the sample rate, and block those above: The sampling theorem says that we can describe, uniquely, a continuous (analog) signal with evenly-spaced discrete (digital) samples, as long as the sampling rate is greater than twice the highest frequency component in the continuous signal. Though we can build real-world converters that work as described, we’re not building practical converters here we’re interested in the mathematical concepts involved and their relationships to digital signal processing. We’ll use that knowledge to help understand the conversion process back to analog.

We’ll look at analog to digital conversion, and we’ll look at the spectrum of the resulting digital signal.

Sample rate conversion pro tools vs dsp quattro