So what is the truth? This is a good time to take a look at some of the data that can be derived from the GPS positional data. This is very similar to what the GPS-only based products will show you and illustrates some of the differences and limitations of each approach. If you read the previous “course data rants”, you might remember that the calculated speed from the GPS positional data is quite accurate despite the best efforts of Bob. As a result, deriving acceleration from the calculated speed data can be accurate as well subject to the inherent limitations of the slow sampling speed. This next graph represents the longitudinal acceleration based on the GPS data for Sector 2.
GPS-based Longitudinal acceleration through Sector 2 (“loop in” to “loop out”):
Note that the highlighted section in the above graph exactly corresponds to the highlighted sections in the previous graphs. According to this graph, it looks like I’m still slowing down in that portion of the course! Which one is right? Let’s see what they look like on top of each other.
Accelerometer and GPS-based Longitudinal acceleration through Sector 2 (“loop in” to “loop out”):
Yikes! While they agree with each other at least in shape near the beginning of the graph, they tell wildly different stories after that. Starting from the beginning, the reason the first GPS-based peak (red line) isn’t as high the accelerometer-based (black line) one is simply sampling rate. Remember that the GPS data is only being sampled 10 times per seconds while the accelerometer data is being sampled 100 times per second. The quick right-hand transition at the start of the sector is too fast to be accurately portrayed by the GPS data. In this case, believe the accelerometer data.
The data for the braking zone from ~0.5 to ~0.9 seconds seems to agree as the GPS-based graph recovers from its false peak. From there, it seems that we are looking at the data from 2 different cars or something. According to the GPS-based data, I don’t start accelerating until roughly the 4.9 second mark as the graph finally manages to get above the zero mark again. According to the accelerometer-based data, I’m slowing again at the 4.9 second mark and don’t start accelerating until roughly the 6 second mark. Huh?
Is Bob playing with us again? Have the accelerometers gone haywire? Let’s step back. What can we trust again? Speed. It’s all about speed. We can always trust speed. It may not be accurate to more than 1 mph but it at least provides us with a reality check. As if the last graph wasn’t busy enough already, let’s toss speed into the mix.
Speed along with Accelerometer and GPS-based Longitudinal acceleration through Sector 2 (“loop in” to “loop out”):
Ah hah! It turns out that Bob was the one telling the truth this time. Wait, I thought we were using the accelerometers as a “lie detector” for Bob? Do we need a lie detector for our lie detector? It’s like when we get a fuzz-buster and the police in Virginia go and get a fuzz-buster-buster. A cookie for anybody who knows what obscure movie the “fuzz-buster-buster” came from.
According to the speed graph (green line), I was slowing down that entire time and didn’t start accelerating until roughly the 4.9 second mark. Wow, that is exactly what Bob tried to tell us earlier. Scary stuff! So what in the Sam Hill is going on?
Next time: “Initial D gots nuddin’ on me” or “Surprise, it’s a trunk monkey!”
Jim