KJBob

An Integrator Block for SigmaDSP

Discussion created by KJBob on Nov 2, 2012
Latest reply on Nov 7, 2012 by BrettG

     Looking at GTG737's implementation of an adaptive mixer -- and GatsbyDSP's comment

that it would run away with itself -- gave me the idea to build an integrator, something that

several folks have asked for.  This one is complete with Run/Stop and  Reset control inputs:

 

Int_Sch_pic.jpg

 

    With a DC source at the input as shown, it generates a ramp as expected:

Int_Ramp_pic.jpg

    An integrator has infinite gain at DC -- its output constantly grows.  If your input

contains DC, you'll need to stop it before it overflows the DSP.  You can replace the manual

switches shown with logic to perform this or other functions.

 

    You can set a nonzero initial condition with a DC source.. If you also feed the integrator's output

around with an inversion, you solve the differential equation dy/dt = -y.  The resulting curve

is characteristic of a RC circuit discharging, or your coffee getting cold with time.

Yep, you can build an analog computer with integrators like this, and rediscover how

differential equations were graphically solved some 60 years ago.Int_Decay_pic.jpg

     The circuit simplifies greatly if you don't need the controls.  The core function is

incredibly simple -- an adder that feeds back to itself.  This makes a perfect integrator,

unlike a low-pass filter which has a finite DC gain.  Uses fewer instructions, too.

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