\n",
"\n",
"Linear transformations and matrices are the two most important concepts in signal processing.\n",
"\n",
"Signal processing involves the analysis and modification of a signal in order to alter its characteristics in some desirable manner. Example of some aims include wanting to decrease noise, or increase performance and efficiency. This field of study involves various mathematical concepts and algorithms and aims to produce a signal that is of different quality to the original.\n",
"\n",
"In this workbook (and the accompanying YouTube video), we present the applications of some of the theory underpinning Signal Processing from a linear algebra perspective. These involves the development of code in the Julia language, some refinement of existing high-level external code to demonstrate specific principles, and well as the use of inbuilt language functions. Considering the diversity of subject matter in the topic, the application has concentrated on two topics in particular:\n",
"\n",
"- Discrete Fourier Transforms (Audio Signals)\n",
"- Convolution (Image Signals)\n",
"\n",
"___\n",
"\n",
"#