Math for Audio Js Mujica The idea is demonstrate how we must see the math in order to consider an allied and not an enemy as is generally portrayed. We Want
to show that first comes the experience of enjoying math, the numbers come after.
Figure Video 1
Let's begin with a graph that every audio technician knows; the cardioid polar pattern. Once upon a time, somebody wanted to end the feedback problems and closed the around of the capsule. Obviously, to test the design, mic output levels were taken at different angles as shown in the following animation.
A head was drawn to make the example easier to understand, but in the reality it must be a continuing sound source. How to do? If we draw the curve that represents the response we should obtain a cardioid. Now we just have find in any calculus book a curve that matches graph; we should find it in the Polar coordinate System section. You'll see the formula that generates this curve is 2+2*Sin(x). With this formula you can now go to Maple Software, (We have Maple 14), and look for “plot” in the help section and copy the code. Next go to the main window and paste the code you just copied,(See the video) , change the formula with the one you got from the book and voilá, you got it. We did the same with a reverb time, Electronic pulse with pad and compression. Now that we know what the curves look like, we only need to find the curve that closest resembles the drawing and copy the equation into the maple window.