{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "
" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "\n", "\n", "In this notebook, we introduce the discrete Fourier transform (DFT) and its basic properties. We then study the fast Fourier transform (FFT), which is an efficient algorithm to evaluate the DFT. In most parts, we closely follow Section 2.4 of [Müller, FMP, Springer 2015].\n", "
" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Inner Product\n", "\n", "An important concept for understanding the Fourier transform is the **inner product** for a complex vector space $\\mathbb{C}^N$ for $N \\in \\mathbb{N}$. Given two complex vectors $x, y \\in \\mathbb{C}^N$, the inner product between $x$ and $y$ is defined as follows:\n", "\n", "$$ \\langle x | y \\rangle := \\sum_{n=0}^{N-1} x(n) \\overline{y(n)}.$$\n", "\n", "The absolute value of the inner product may be interpreted as a measure of similarity between $x$ and $y$: if $x$ and $y$ point to the same direction (i.e., $x$ and $y$ are similar), the inner product $|\\langle x | y \\rangle|$ is large. If $x$ and $y$ are orthogonal (i.e., $x$ and $y$ are dissimilar), the inner product $|\\langle x | y \\rangle|$ is zero.\n", "\n", "Note that when using the function `np.vdot` to compute the inner product, the complex conjugate is performed on the first argument. Therefore, for computing $\\langle x | y \\rangle$ as defined above, one has to call `np.vdot(y, x)`." ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "execution": { "iopub.execute_input": "2024-02-15T08:59:00.320533Z", "iopub.status.busy": "2024-02-15T08:59:00.320232Z", "iopub.status.idle": "2024-02-15T08:59:01.385530Z", "shell.execute_reply": "2024-02-15T08:59:01.384814Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Vectors of high similarity: 4.104875150354758\n", "Vectors of low similarity: 0.22360679774997913\n" ] } ], "source": [ "import numpy as np\n", "from numba import jit\n", "\n", "x = np.array([ 1.0, 1j, 1.0 + 1.0j ])\n", "y = np.array([ 1.1, 1j, 0.9 + 1.1j ])\n", "print('Vectors of high similarity:', np.abs(np.vdot(y, x)))\n", "\n", "x = np.array([ 1.0, 1j, 1.0 + 1j ])\n", "y = np.array([ 1.1, -1j, 0.1 ])\n", "print('Vectors of low similarity:', np.abs(np.vdot(y, x)))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Definition of DFT\n", "\n", "Let $x\\in \\mathbb{C}^N$ be a vector of length $N\\in\\mathbb{N}$. In the music signal context, $x$ can be interpreted as a discrete signal with samples $x(0), x(1), ..., x(N-1)$. Note that we start indexing with the index $0$. The **discrete Fourier transform** (DFT) of $x$ is defined by:\n", "\n", "$$ X(k) := \\sum_{n=0}^{N-1} x(n) \\exp(-2 \\pi i k n / N) $$\n", "\n", "for $k \\in [0:N-1]$. The vector $X\\in\\mathbb{C}^N$ can be interpreted as frequency representation of the time-domain signal $x$. To obtain a geometric interpretation of the DFT, we define the vector $\\mathbf{u}_k\\in\\mathbb{C}^N$ by\n", "\n", "$$\\mathbf{u}_k(n) := \\exp(2 \\pi i k n / N) = \\cos(2 \\pi k n / N) + i \\sin(2 \\pi k n / N)$$\n", "\n", "for each $k \\in [0:N-1]$. This vector can be regarded as a sampled version of the exponential function of frequency $k/N$. Then, the DFT can be expressed as inner products\n", "\n", "$$ X(k) := \\sum_{n=0}^{N-1} x(n) \\overline{\\mathbf{u}_k} = \\langle x | \\mathbf{u}_k \\rangle$$\n", "\n", "of the signal $x$ and the sampled exponential functions $\\mathbf{u}_k$. The absolute value $|X(k)|$ indicates the degree of similarity between the signal $x$ and $\\mathbf{u}_k$.\n", "\n", "In the case that $x\\in \\mathbb{R}^N$ is a real-valued vector (which is always the case for our music signal scenario), we obtain:\n", "\n", "$$ X(k) := \\langle x |\\mathrm{Re}(\\mathbf{u}_k) \\rangle - i\\langle x | \\mathrm{Im}(\\mathbf{u}_k) \\rangle $$\n", "\n", "The following plot shows an example signal $x$ compared with functions $\\overline{\\mathbf{u}_k}$ for two different frequency parameters $k$. The real and imaginary part of $\\overline{\\mathbf{u}_k}$ are shown in red and blue, respectively." ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "execution": { "iopub.execute_input": "2024-02-15T08:59:01.415997Z", "iopub.status.busy": "2024-02-15T08:59:01.415716Z", "iopub.status.idle": "2024-02-15T08:59:02.173141Z", "shell.execute_reply": "2024-02-15T08:59:02.172618Z" } }, "outputs": [ { "data": { "image/png": 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\n", 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