From b5dbfd6d036022771cb7904d9cf96fbbc2fe1d81 Mon Sep 17 00:00:00 2001 From: Peter Hinch Date: Thu, 31 Mar 2022 19:01:20 +0100 Subject: [PATCH] Encoders: document algorithm. --- encoders/ENCODERS.md | 46 +++++++++++++++++++++++++++++++++++++ encoders/state_diagram.png | Bin 0 -> 182758 bytes 2 files changed, 46 insertions(+) create mode 100644 encoders/state_diagram.png diff --git a/encoders/ENCODERS.md b/encoders/ENCODERS.md index a0a0043..3e93d00 100644 --- a/encoders/ENCODERS.md +++ b/encoders/ENCODERS.md @@ -165,3 +165,49 @@ These were written for encoders producing logic outputs. For switches, adapt the pull definition to provide a pull up or pull down as required, or provide physical resistors. This is my preferred solution as the internal resistors on most platforms have a rather high value. + +# Algorithm + +Discussions on the MicroPython forum demonstrate a degree of confusion about +the merits of different decoding algorithms and about contact debouncing. These +notes aim to clarify the issues and to provide an explanation for the approach +used in my code samples. + +Incremental encoders produce two signals `x` and `y`. Possible state changes +are shown in this state diagram. + +![Image](./state_diagram.png) + +The truth table includes the previous (`xp` and `yp`) and current (`x` and `y`) +values of the signals. It includes all logically possible cobinations of these +signals. These include cases where no change occurs (marked `n`) and cases +which are physically impossible (`x`). The latter arise because both signals +cannot change state simultaneously. + +Decoding these four bits is a problem of combinatorial logic. All such problems +may be solved by using the bits as addresses of a lookup table. In this case +there would be two output bits signifying increment, decrement or do nothing. +However, simplifications are possible if changes of `x` and `y` trigger +interrupts. + +The truth table may then be split into two, one catering for cases where `x` +has changed, and the other for `y` changes. The illegal cases are discarded and +the "no change" cases will not trigger an interrupt. All cases in these tables +cause a change in position and inspection shows that the direction is the +`exclusive or` of the current `x` and `y` values, with opposite polarity for +the `x` and `y` interrupts. + +## Debouncing + +Contact bounce or vibration effects cause an oscillating signal on one line. +The state diagram shows that this is logically indistinguishable from a +physical movement of the encoder backwards and forwards across one transition +point. Consequently any valid decoding algorithm will register a change in +position of one LSB forwards and backwards. There is no systematic drift, just +one LSB of positional uncertainty. + +## Algorithm quality + +All valid solutions to a combinatorial logic problem are equivalent. 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