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Old March 20th 19, 04:37 PM posted to rec.bicycles.tech
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Default GPS Units = Show road steepness?

On Tuesday, March 19, 2019 at 1:58:13 PM UTC-7, James wrote:
On 20/3/19 4:20 am, Radey Shouman wrote:
writes:
[ ... ]

averages in particular. And I think that it was Radey talking about
using IIR which would require a high end FPGA wouldn't it? I'm buying
a new, wireless VDO for $50.


An IIR can be very simple to implement. The "leaky integrator" or
"exponential filter" is probably the simplest digital low-pass filter
possible:

y_i = y_{i-1} + k (x_i - y_{i-1})

In C:

y += k*(x - y);

If you're not too fussed about the actual cutoff frequency the
multiplication can be done as a shift. The precision used for the
state, y, does need to be higher than that of the input.

If you need precise control over the frequency response then more work
in design and more expense in implementation is needed, but not always.


y(i) = y(i-1) + k.x(i) - k.y(i-1)

y(i) = y(i-1) - k.y(i-1) + k.x(i)

k is usually a fraction, 0 k 1. To avoid floating point arithmetic
and division, if you make it a binary fraction (1/2, 1/4, 1/8, 1/16,
etc), you can implement the filter with bit shifts, and addition and
subtraction only.

--
JS


Don't you think that it would all be a great deal easier to handle by multiplying it enough to make them whole numbers and then displaying them as if they had been fractional?
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