From a1a1753c1871f50d2d1fd3da592ab80068cfd82f Mon Sep 17 00:00:00 2001 From: Roger Labbe Date: Thu, 10 Dec 2015 20:21:13 -0800 Subject: [PATCH] Fixed description of fixed-point filter. I mistakenly stated that it re-estimated the points between times j and k, when of course it recomputes only a single fixed point. --- 13-Smoothing.ipynb | 65 +++++++++++++++++++++++----------------------- 1 file changed, 32 insertions(+), 33 deletions(-) diff --git a/13-Smoothing.ipynb b/13-Smoothing.ipynb index b06e5c6..3d0afce 100644 --- a/13-Smoothing.ipynb +++ b/13-Smoothing.ipynb @@ -16,7 +16,7 @@ }, { "cell_type": "code", - "execution_count": 2, + "execution_count": 1, "metadata": { "collapsed": false }, @@ -262,7 +262,7 @@ "" ] }, - "execution_count": 2, + "execution_count": 1, "metadata": {}, "output_type": "execute_result" } @@ -291,7 +291,7 @@ }, { "cell_type": "code", - "execution_count": 7, + "execution_count": 2, "metadata": { "collapsed": false }, @@ -300,7 +300,7 @@ "data": { "image/png": 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fM3v2bF566SWGDx8OwLlz5/if//kf9uzZw5///OdeC/SmrhL65uZmnnzySdau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\n9vsRJyG6MsB1EA+Of5SZsT+goOwsGTl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VEjFoExERkYPp7O7A1uyNOF5+2KRdLndCbHjf7HXobMhlcokqJOrFoE1EREQOo66xCh/u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\ndsxVqYGrvwah/uFmfQbBgKb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MmzYNaM0rX7ZsGcuWLWPhwoWsW7eOZ599lvr6ehYvXkxFRQUJCQls3boVLy8v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\nn59vMYOen5+vfu1m5xkMlu9I8/PzcXBwoHPnm68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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -421,33 +421,32 @@ "\n", "There are three classes of Kalman smoothers that produce better tracking in these situations.\n", "\n", - "* Fixed Interval Smoothing\n", + "* Fixed-Interval Smoothing\n", "\n", - "This is a batch processing based filter. This filter waits for all of the data to be collected before making any estimates. For example, you may be a scientist collecting data for an experiment, and don't need to know the result until the experiment is complete. A fixed interval smoother will collect all the data, then estimate the state at each measurement using all available previous and future measurements. If it is possible for you to run your Kalman filter in batch mode it is always recommended to use one of these filters a it will provide much better results than the recursive forms of the filter from the previous chapters.\n", + "This is a batch processing based filter. This filter waits for all of the data to be collected before making any estimates. For example, you may be a scientist collecting data for an experiment, and don't need to know the result until the experiment is complete. A fixed-interval smoother will collect all the data, then estimate the state at each measurement using all available previous and future measurements. If it is possible for you to run your Kalman filter in batch mode it is always recommended to use one of these filters a it will provide much better results than the recursive forms of the filter from the previous chapters.\n", "\n", "\n", - "* Fixed Lag Smoothing\n", + "* Fixed-Lag Smoothing\n", "\n", - "Fixed lag smoothers introduce latency into the output. Suppose we choose a lag of 4 steps. The filter will ingest the first 3 measurements but not output a filtered result. Then, when the 4th measurement comes in the filter will produce the output for measurement 1, taking measurements 1 through 4 into account. When the 5th measurement comes in, the filter will produce the result for measurement 2, taking measurements 2 through 5 into account. This is useful when you need recent data but can afford a bit of lag. For example, perhaps you are using machine vision to monitor a manufacturing process. If you can afford a few seconds delay in the estimate a fixed lag smoother will allow you to produce very accurate and smooth results.\n", + "Fixed-lag smoothers introduce latency into the output. Suppose we choose a lag of 4 steps. The filter will ingest the first 3 measurements but not output a filtered result. Then, when the 4th measurement comes in the filter will produce the output for measurement 1, taking measurements 1 through 4 into account. When the 5th measurement comes in, the filter will produce the result for measurement 2, taking measurements 2 through 5 into account. This is useful when you need recent data but can afford a bit of lag. For example, perhaps you are using machine vision to monitor a manufacturing process. If you can afford a few seconds delay in the estimate a fixed-lag smoother will allow you to produce very accurate and smooth results.\n", "\n", "\n", - "* Fixed Point Smoothing\n", + "* Fixed-Point Smoothing\n", "\n", - "Fixed point smoothers start out as a normal Kalman filter. But once they get to measurement 4 (say) it then looks backwards and revises the filter output for the previous measurement(s). So, at step 5 the filter will produce a result for 5, and update the result for measurement 4 taking measurement 5 into account. When measurement 6 comes in the filter produces the result for 6, and then goes back and revises 4 using the measurements from 5 and 6. It will revise the output for measurement 5 as well. This process continues, with all previous outputs being revised each time a new input comes in. This filter can be used to fill in gaps. For example, suppose you did not get a sensor reading at step `k`. Instead of just using the prediction from step `k-1` you can continue using data collected at steps `k+1`, `k+2`, and so on to refine the estimate. \n", + "A fixed-point filter operates as a normal Kalman filter, but also produces an estimate for the state at some fixed time $j$. Before the time $k$ reaches $j$ the filter operates as a normal filter. Once $k>j$ the filter estimates $x_k$ and then also updates its estimate for $x_j$ using all of the measurements between $j\\dots k$. This can be useful to estimate initial paramters for a system, or for producing the best estimate for an event that happened at a specific time. For example, you may have a robot that took a photograph at time $j$. You can use a fixed-point smoother to get the best possible pose information for the camera at time $j$ as the robot continues moving.\n", "\n", + "The choice of these filters depends on your needs and how much memory and processing time you can spare. Fixed-point smoothing requires storage of all measurements, and is very costly to compute because the output is for every time step is recomputed for every measurement. On the other hand, the filter does produce a decent output for the current measurement, so this filter can be used for real time applications.\n", "\n", - "The choice of these filters depends on your needs and how much memory and processing time you can spare. Fixed point smoothing requires storage of all measurements, and is very costly to compute because the output is for every time step is recomputed for every measurement. On the other hand, the filter does produce a decent output for the current measurement, so this filter can be used for real time applications.\n", + "Fixed-lag smoothing only requires you to store a window of data, and processing requirements are modest because only that window is processed for each new measurement. The drawback is that the filter's output always lags the input, and the smoothing is not as pronounced as is possible with fixed-interval smoothing.\n", "\n", - "Fixed lag smoothing only requires you to store a window of data, and processing requirements are modest because only that window is processed for each new measurement. The drawback is that the filter's output always lags the input, and the smoothing is not as pronounced as is possible with fixed interval smoothing.\n", - "\n", - "Fixed interval smoothing produces the most smoothed output at the cost of having to be batch processed. Most algorithms use some sort of forwards/backwards algorithm that is only twice as slow as a recursive Kalman filter. " + "Fixed-interval smoothing produces the most smoothed output at the cost of having to be batch processed. Most algorithms use some sort of forwards/backwards algorithm that is only twice as slow as a recursive Kalman filter. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ - "## Fixed Point Smoothing" + "## Fixed-Point Smoothing" ] }, { @@ -461,14 +460,14 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "## Fixed Interval Smoothing" + "## Fixed-Interval Smoothing" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ - "There are several fixed lag smoothers available in the literature. I have chosen to implement the smoother invented by Rauch, Tung, and Striebel because of its ease of implementation and efficiency of computation. This smoother is commonly known as an RTS smoother, and that is what we will call it\n", + "There are many fixed-lag smoothers available in the literature. I have chosen to implement the smoother invented by Rauch, Tung, and Striebel because of its ease of implementation and efficiency of computation. It is also the smoother I have seen used most often in real applications. This smoother is commonly known as an RTS smoother.\n", "\n", "Derivation of the RTS smoother runs to several pages of densely packed math, and to be honest I have never read it through. I'm certainly not going to inflict it on you. I don't think anyone but thesis writers really need to understand the derivation. Instead I will briefly present the algorithm, equations, and then move directly to implementation and demonstration of the smoother.\n", "\n", @@ -523,9 +522,9 @@ "outputs": [ { "data": { - "image/png": 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HQskozMDVxlXn4WbrhqmRZm3r0tJSYmJidGqyY2JiKC/Xn8ru3Lmzzix2cHAw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HZlx5ELvvFhX33aL/uq5eITFVH8Iv9ibj1pugf2/o5ml8axq6q6urOXHihFFN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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -598,9 +597,9 @@ "outputs": [ { "data": { - "image/png": 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6duyoO25nZwfAsmXLmDZtGp6enkyfPh0rKysuXrxISEgIa9askTBdhUiYFkII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\nvfb0vsZV2D4i5WjOnDmKp6enYmZmpjRu3FjZtWtXRTdJPCc0Go2iUqk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+ "image/png": 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SMn/7XxaczYRn7oOhvZuODDdoG6iq0UD1Kd1qG6XRULaHFfuLDMrZOFjo5jv7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\nSUlJKZFP+pwoLzNmzKBhw4bY29tjb29P69atWb9+vUke6W+iokyaNAm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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -627,9 +626,9 @@ "outputs": [ { "data": { - "image/png": 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xaXHMOziPH4//SKFaSYv45u9veK/bezrtwi+HsyRsCQv6L6i2ebTp6emEh4fr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V89vPG09AAYC1uQZzpYZ/TlTwwmRw6XrrAcGlq4w9H0iMeQkOpsHmxdx06M4t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+qpOrzPtTOtdvoaC/dPoLSspLMKnzpCazat+pm6cwZs0YqJVq/DTppzqP4Q32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\n3vv7++PmzZt285eXl2PevHno1KkTdu3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WycnJu3109nM+ypXOZrO/v69BEKht2+p5ntbr\ndR0MBu/20NXPS8uVrv5ZP34y8E2WzvIbeAAAACBnX/4beAAAAOB/w9ANAAAA5IyhGwAAAMgZQzcA\nAACQM4ZuAAAAIGcM3QAAAEDOGLoBAACAnDF0AwAAADlj6AYAAABy9gpP063w0fIj6gAAAABJRU5E\nrkJggg==\n", 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7TtNrlV8I+Bvc5397KTBjIRBdX55y1M8A+OmBKSOBEb1c/82/2yTwx0E5n39J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\nggJVyvUlH3/8MZ577jkkJiZi06ZNaNu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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -692,14 +691,14 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "## Fixed Lag Smoothing\n", + "## Fixed-Lag Smoothing\n", "\n", "The RTS smoother presented above should always be your choice of algorithm if you can run in batch mode because it incorporates all available data into each estimate. Not all problems allow you to do that, but you may still be interested in receiving smoothed values for previous estimates. The number line below illustrates this concept." ] }, { "cell_type": "code", - "execution_count": 12, + "execution_count": 9, "metadata": { "collapsed": false, "scrolled": true @@ -709,7 +708,7 @@ "data": { "image/png": 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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -750,7 +749,7 @@ "name": "stdout", "output_type": "stream", "text": [ - "standard deviation fixed lag: 2.61624417392\n", + "standard deviation fixed-lag: 2.61624417392\n", "standard deviation kalman: 3.56221928461\n" ] }, @@ -758,7 +757,7 @@ "data": { "image/png": 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2qLXY2V+C3bp1Y+PGjSxbtoz//ve/nDun5klER0dbpf4YDAZGjhzJihUrAOjY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\nNuZERERERFbg/wF38qgbPRe/YQAAAABJRU5ErkJggg==\n", "text/plain": [ - "" + "" ] }, "metadata": {}, @@ -809,7 +808,7 @@ "plt.plot(kf_x[:, 0], label='KF', ls='--')\n", "plt.legend(loc=4)\n", "\n", - "print('standard deviation fixed lag:', np.mean(fls_res))\n", + "print('standard deviation fixed-lag:', np.mean(fls_res))\n", "print('standard deviation kalman:', np.mean(kf_res))" ] },