{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Harmonic Analysis - Monthly Mean Temperature\n", "\n", "***[Harmonic analysis](https://en.wikipedia.org/wiki/Harmonic_analysis)*** is a branch of mathematics concerned with the representation of functions or signals as the superposition of basic waves, and the study of and generalization of the notions of Fourier series and Fourier transforms (i.e. an extended form of Fourier analysis).\n", "\n", "Many applications of harmonic analysis in science and engineering begin with the idea or hypothesis complex problems could be reduced to manageable terms by the technique of breaking complicated mathematical curves into sums of comparatively simple components. \n", "\n", "Various researchers of climatology and meteorology have suggested that the harmonic analysis is advantageous to study the seasonal variation or oscillation of meteorological or climatological parameters. The development and the mathematical formulation of the method of harmonic analysis have been discussed by a good number of researchers in study of different climatological parameters like as Azzali and Menenti (2001), Yuan and Li (2008), van Loon (1967), Meehl (2006), Goswami (2000).\n", "\n", "In this study, the ***[monthly mean temperature](http://www.bom.gov.au/jsp/ncc/cdio/weatherData/av?p_nccObsCode=36&p_display_type=dataFile&p_startYear=&p_c=&p_stn_num=063254/)*** data downloaded from the BOM of Australia are used in the harmonic analysis." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "import pandas as pd\n", "import matplotlib.pyplot as plt\n", "\n", "from HA_helpers import *\n", "%matplotlib inline" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "# Set some parameters to apply to all plots. These can be overridden\n", "import matplotlib\n", "# Plot size to 12\" x 7\"\n", "matplotlib.rc('figure', figsize = (15, 7))\n", "# Font size to 14\n", "matplotlib.rc('font', size = 14)\n", "# Do not display top and right frame lines\n", "matplotlib.rc('axes.spines', top = False, right = False)\n", "# Remove grid lines\n", "matplotlib.rc('axes', grid = False)\n", "# Set backgound color to white\n", "matplotlib.rc('axes', facecolor = 'white')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 1. Read data\n", "\n", "The site location information:\n", "- Lat: 33.32° S \n", "- Lon: 149.08° E\n", "- Elevation: 922 m.\n", "\n", "Use ***pandas*** to import the data from the CSV file and add a datetime index." ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "df = pd.read_csv('data\\Orange.csv',\n", " usecols=[4], \n", " )\n", "df.columns = ['Tmean']\n", "df.index = pd.date_range('1976-01', '2019-01', freq='M')\n", "df = df['1976':'2018']" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 2. Carry out harmonic analysis\n", "\n", "We now compute the Fourier transform and the spectral density of the signal. \n", "\n", "### 2.1 Calculate the Fourier Transform\n", "\n", "using scipy.fftpack to get Coefficients and Wave frequency. Because we use monthly data, so set the sampling frequency as 1/12." ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "fft, freq = fourier_transform(df[['Tmean']].values[:,0], 1/12.)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 2.2 Calculate the spectral density\n", "\n", "We now plot the power spectral density of our signal, as a function of the frequency. we observe a peak for ***f=44***. Now, we cut out frequencies higher than the fundamental frequency." ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "spd, pos_freqs = spectrum(fft, freq)\n", "\n", "f, ax = plt.subplots(1,1)\n", "ax.plot(pos_freqs, spd)\n", "_ = ax.set_xlabel('Frequency(units: cycles per length of domain)', fontsize=14)\n", "_ = ax.set_title('Spectral density', fontsize=16)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 2.3 Inverse Fourier Transform\n", "\n", "Perform an inverse FFT to convert the modified Fourier transform back to the temporal domain. This way, we recover a signal that mainly contains the fundamental frequency (***cutofff = 44***)" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [], "source": [ "data_f = np.real(inverse_fourier_transform(fft, freq, max_freq=44))\n", "df['Tmean_fft'] = data_f" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 3. Visualize\n", "\n", "Here, the Hilbert transform is applied, which excludes the negative part of the fft spectrum." ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ax = df[['Tmean', 'Tmean_fft']].plot()\n", "_ = ax.set_xlim(df.index.min(), df.index.max())\n", "_ = ax.set_xlabel('Date')\n", "_ = ax.set_title('Monthly Mean Temperature($^oC$, 1976-2018)', fontsize=16)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Summary and discussion\n", "\n", "In this notebook, we show how to use a Fast Fourier Transform (FFT) to carry out a harmonic analysis on a monthly mean temperature time series.\n", "\n", "We can recover the initial signal with an Inverse Fast Fourier Transform that computes an Inverse Discrete Fourier Transform (IDFT). The Discrete Fourier Transform is useful when periodic patterns are to be found. However, generally speaking, the Fourier transform cannot detect transient changes at specific frequencies. Local spectral methods are required, such as the wavelet transform.\n", "\n", "Harmonic analysis is a kind of very efficient tools to compress, store data and reconstruct data. In such a case, it is very similar to the method of EOF analysis. In fact, the EOF method is similar in spirit to harmonic analysis, but harmonic analysis typically uses predetermined orthogonal functions, for example, sine and cosine functions at fixed frequencies. In some cases the two methods may yield essentially the same results.\n", "\n", "## References\n", "\n", "Azzali S, Menenti M. 2001. Mapping vegetation-soil-climate complexes in southern Africa using temporal fourier analysis of\n", "NoaaAvhrr Ndvi data. International Journal of Remote Sensing 21: 973–996.\n", "\n", "Yuan X, Li C. 2008. Climate modes in southern high latitudes and their impacts on antarctic sea ice. Journal of Geophysical\n", "Research 113(C6):, DOI:10.1029/2006JC004067.\n", "\n", "van Loon H. 1967. The Half-Yearly Oscillations in Middle and High Southern Latitudes and the Coreless Winter. Journal of the\n", "Atmospheric Sciences 24: 472–486.\n", "\n", "Meehl GA, Washington WM, Santer BD, Collins WD, Arblaster JM, Hu A, Lawrence DM, Teng H, Buja LE, Strand WG. 2006.\n", "Climate change projections for the twenty-first century and climate change commitment in the ccsm3. Journal of Climate 19(11): 2121–2632.\n", "\n", "U. D. Goswami, a study on some features of surface air temperature over Assam, M. Ph. Dissertation, Gauhati University (2000).\n", "\n", "IPython Cookbook, Second Edition, by Cyrille Rossant, Packt Publishing 2018" ] }, { "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": "3.6.5" } }, "nbformat": 4, "nbformat_minor": 2 }