{ "cells": [ { "source": [ "# Sequency Quick Start" ], "cell_type": "markdown", "metadata": {} }, { "source": [ "[Sequency](https://mathworld.wolfram.com/Sequency.html) Analysis" ], "cell_type": "markdown", "metadata": {} }, { "cell_type": "code", "execution_count": 1, "id": "substantial-warrant", "metadata": {}, "outputs": [], "source": [ "import matplotlib.pyplot as plt\n", "import numpy as np\n", "import pandas as pd\n", "\n", "from hotstepper import Steps,Step\n", "import hotstepper as hs\n", "from hotstepper import Sequency" ] }, { "source": [ "An exciting new sub-module of HotStepper is called Sequency. While that doesn't sound like much, the module will continue to be developed as refinements to the code and further use cases are shown or explained.\n", "\n", "In short, Sequency analysis is the step function equivalent of Fourier Analysis, instead of using Sine and Cosine functions, the decomposition basis are [Walsh Functions](https://en.wikipedia.org/wiki/Walsh_function). As a very quick demonstration of what sequency analysis can do and how this is similar to Fourier analysis, this notebook works some analysis and investigation use cases to provide some guidance.\n", "\n", "Also, in the interest of completeness, the Sequency module has also implemented a very basic Fast Fourier transform method." ], "cell_type": "markdown", "metadata": {} }, { "cell_type": "code", "execution_count": 2, "id": "major-price", "metadata": {}, "outputs": [], "source": [ "seq = Sequency()\n", "n,w = seq.walsh_matrix(8)" ] }, { "source": [ "## Walsh Functions" ], "cell_type": "markdown", "metadata": {} }, { "cell_type": "markdown", "id": "excited-stretch", "metadata": {}, "source": [ "As an example of what the binary step versions of the orthgonal Walsh basis functions look like, we plot the first 16 of them below. They in a crude way represent the step function equivalents of Sine and Cosines that can be used to decompose a periodic signal using Fourier analysis. Step functions with repeating patterns can equally be decomposed into Walsh basis functions. Instead of each function having a frequency associated with it, Walsh functions use a Sequency number that represents the number of zero crossings over the range for that function. The Walsh functions below are plotted in order of increasing sequency number." ] }, { "cell_type": "code", "execution_count": 3, "id": "valued-affairs", "metadata": {}, "outputs": [ { "output_type": "display_data", "data": { "text/plain": "
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}, "metadata": { "needs_background": "light" } } ], "source": [ "fig,ax = plt.subplots(nrows=8,figsize=(16,22))\n", "\n", "for i in range(8):\n", " ax[i].step(n,w[i],label = 'Walsh Sequency {}'.format(i));\n", " ax[i].legend()" ] }, { "cell_type": "markdown", "id": "advised-balance", "metadata": {}, "source": [ "Now, let's say we have a step function and wish to understand the types of step changes that are most common to least common within that function, we can use a number of the existing analysis tools in HotStepper, however a more powerful and general method, especially familiar to anyone who has performed any Fourier analysis to answer similar questions with continuous time series is to use the Sequency sub module of HotStepper and perform a Walsh Sequency Spectrum analysis." ] }, { "cell_type": "code", "execution_count": 4, "id": "secure-publisher", "metadata": {}, "outputs": [ { "output_type": "execute_result", "data": { "text/plain": [ "" ] }, "metadata": {}, "execution_count": 4 }, { "output_type": "display_data", "data": { "text/plain": "
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\n" }, "metadata": { "needs_background": "light" } } ], "source": [ "#Create a sequence of steps that we can analyse\n", "steps_changes = np.random.randint(-10,12,100)\n", "\n", "rand_steps = Steps().add_direct(data_start=list(range(1,len(steps_changes))),data_weight = steps_changes)\n", "rand_steps.plot()" ] }, { "source": [ "## Sequency Spectrum" ], "cell_type": "markdown", "metadata": {} }, { "cell_type": "markdown", "id": "adult-fields", "metadata": {}, "source": [ "We create a dedicated sequency analysis object so, if we wanted to resuse it or create another with different parameters, we can keep everything seperated and organised. As tis sub-module matures, this will be the case, for now there isn't a strong immediate need for this seperation." ] }, { "cell_type": "code", "execution_count": 5, "id": "increasing-colors", "metadata": {}, "outputs": [ { "output_type": "execute_result", "data": { "text/plain": [ "" ] }, "metadata": {}, "execution_count": 5 }, { "output_type": "display_data", "data": { "text/plain": "
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\n" }, "metadata": { "needs_background": "light" } } ], "source": [ "fig, (ax,ax2) = plt.subplots(nrows=2,figsize=(16,10))\n", "\n", "# Sequency object to use for analysis\n", "rand_step_seq = Sequency()\n", "\n", "\n", "n,sp,l = rand_step_seq.sequency_spectrum(rand_steps.step_changes())\n", "\n", "ax.set_title('Random Steps')\n", "ax.set_xlabel('Step Keys')\n", "ax.set_ylabel('Value')\n", "rand_steps.plot(ax=ax)\n", "\n", "ax2.set_title('Step Change Sequency Spectrum')\n", "ax2.set_xlabel('Sequency Number')\n", "ax2.set_ylabel('Amplitude')\n", "ax2.stem(n,sp)\n" ] }, { "cell_type": "markdown", "id": "patient-struggle", "metadata": {}, "source": [ "ok, great, what does that actually mean? Sequency analysis isn't mainstream, so I'm not surprised if you don't understand straight away, as it seems odd at first. Ok, let's look at say the top 5 sequencies that are present within the analysis steps data." ] }, { "cell_type": "code", "execution_count": 6, "id": "accessible-dating", "metadata": {}, "outputs": [ { "output_type": "display_data", "data": { "text/plain": "
", "image/svg+xml": "\r\n\r\n\r\n\r\n \r\n \r\n \r\n \r\n 2021-03-22T05:23:58.574180\r\n image/svg+xml\r\n \r\n \r\n Matplotlib v3.3.4, https://matplotlib.org/\r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n 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\n" }, "metadata": { "needs_background": "light" } } ], "source": [ "top5_indexes = np.argsort(sp)\n", "top5_sequencies = n[top5_indexes][-5:]\n", "top5_weight = sp[top5_indexes][-5:]\n", "\n", "n,w = seq.walsh_matrix(l)\n", "\n", "fig,ax = plt.subplots(nrows=5,figsize=(16,16))\n", "i = 0\n", "top5_walsh = np.zeros(l)\n", "\n", "for seqy in top5_sequencies:\n", " top5_walsh += np.multiply(w[seqy],top5_weight[i])\n", " ax[i].step(n,w[seqy],label = 'Walsh Component {}'.format(seqy))\n", " ax[i].set_xlabel('Sequency Number')\n", " ax[i].set_ylabel('Amplitude')\n", " ax[i].legend();\n", " i +=1\n" ] }, { "source": [ "## Walsh Denoising" ], "cell_type": "markdown", "metadata": {} }, { "source": [ "Another typical use case of Fourier transforms is to remove high frequency noise from a single by decomposing it into constituent frequency components and setting frequencies below a threshold value to zero. With Sequency analysis, we have a similar functionality, except since we have step data and we are wanting to retain the nature of the step data (as steps) instead of just smoothing away the details, we can use the denoise method of the Sequency module to remove the higher sequency number components. An explicit example is shown below, here for now, we pass in the direct steps data for denoising, apply a strength parameter to determine how many of the high sequency components are set to zero and then we construct a new Steps object." ], "cell_type": "markdown", "metadata": {} }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "output_type": "display_data", "data": { "text/plain": "
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\n" }, "metadata": { "needs_background": "light" } } ], "source": [ "denoise_step_changes_strong = seq.denoise(rand_steps.step_changes(),denoise_strength=0.7,denoise_mode='range')\n", "denoise_step_changes = seq.denoise(rand_steps.step_changes(),denoise_strength=0.2)\n", "\n", "rand_steps_denoise_strong = Steps().add_direct(data_start=rand_steps.step_keys(),data_weight = denoise_step_changes_strong)\n", "rand_steps_denoise = Steps().add_direct(data_start=rand_steps.step_keys(),data_weight = denoise_step_changes)\n", "\n", "ax = rand_steps.plot(label='Original Data')\n", "rand_steps_denoise.plot(ax=ax,color='g',linewidth=2,label='Light Denoise');\n", "rand_steps_denoise_strong.plot(ax=ax,color='r',linewidth=2,linestyle='-',label='Strong Denoise')\n", "ax.legend();" ] }, { "source": [ "As another quick example, we can apply the same technique to one of the HotStepper sample datasets, for this tutorial, we'll only look at the first two months of data in order to better highlight what the sequency denoising can do to help better show the trend or typical step behaviour of the data." ], "cell_type": "markdown", "metadata": {} }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "output_type": "display_data", "data": { "text/plain": "
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}, "metadata": { "needs_background": "light" } } ], "source": [ "df_vq_samp = pd.read_csv(r'https://raw.githubusercontent.com/TangleSpace/hotstepper-data/master/data/vessel_queue.csv',parse_dates=['enter','leave'],dayfirst=True)\n", "vq_samp = Steps.read_dataframe(df_vq_samp,start='enter',end='leave')\n", "vq_clip = vq_samp.clip(ubound=pd.Timestamp(2020,3,1))\n", "\n", "dn = seq.denoise(vq_clip.step_changes(),denoise_mode='range')\n", "vq_clip_dn = Steps().add_direct(data_start=vq_clip.step_keys(convert_keys=True),data_weight=dn)\n", "\n", "ax = vq_clip.plot(label='Original Data')\n", "vq_clip_dn.plot(ax=ax,linewidth=3,label='Sequency Denoise')\n", "ax.legend();\n" ] }, { "source": [ "As the last item, we can take a look at the sequency spectrum for the vessel queue data. This dataset has a large number of changes and therefore the sequency range goes quite high, however it does show a number of peaks that are significantly larger than the others, indicating a number of distinct and repeating step change patterns within the data over this period." ], "cell_type": "markdown", "metadata": {} }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "output_type": "display_data", "data": { "text/plain": "
", "image/svg+xml": "\r\n\r\n\r\n\r\n \r\n \r\n \r\n \r\n 2021-03-22T05:29:14.294032\r\n image/svg+xml\r\n \r\n \r\n Matplotlib v3.3.4, https://matplotlib.org/\r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n 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\n" }, "metadata": { "needs_background": "light" } } ], "source": [ "fig, (ax,ax2,ax3) = plt.subplots(nrows=3,figsize=(12,8))\n", "fig.tight_layout(h_pad=4)\n", "\n", "# Sequency object to use for analysis\n", "vq_clip_seq = Sequency()\n", "n,sp,l = vq_clip_seq.sequency_spectrum(vq_clip.step_changes())\n", "\n", "\n", "ax.set_title('Step Change Sequency Spectrum')\n", "ax.set_xlabel('Sequency Number')\n", "ax.set_ylabel('Amplitude')\n", "ax.stem(n,sp)\n", "\n", "# number of data points, needed to create the sampling frequency\n", "no_points = vq_clip.step_changes().shape[0]\n", "\n", "fr,fsp = vq_clip_seq.frequency_spectrum(vq_clip.step_changes(),2*np.pi*no_points)\n", "\n", "ax2.set_title('Step Change Frequency Spectrum')\n", "ax2.set_xlabel('Frequency')\n", "ax2.set_ylabel('Amplitude')\n", "ax2.stem(fr,fsp)\n", "\n", "# FFT the steps values instead of the delta changes to see the difference in the spectrum.\n", "frv,fspv = vq_clip_seq.frequency_spectrum(vq_clip.step_values(),2*np.pi*no_points)\n", "\n", "ax3.set_title('Steps Value Frequency Spectrum')\n", "ax3.set_xlabel('Frequency')\n", "ax3.set_ylabel('Amplitude')\n", "ax3.stem(frv[1:],fspv[1:]);\n" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.8.5-final" } }, "nbformat": 4, "nbformat_minor": 5 }