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F# (pronounced F sharp) is a functional-first, general-purpose, strongly typed, multi-paradigm programming language that encompasses functional, imperative, and object-oriented programming methods. It is most often used as a cross-platform Common Language Infrastructure (CLI) language on .NET, but can also generate JavaScript and graphics processing unit (GPU) code. F# is developed by the F# Software Foundation, Microsoft and open contributors. An open source, cross-platform compiler for F# is available from the F# Software Foundation. F# is a fully supported language in Visual Studio and JetBrains Rider. Plug-ins supporting F# exist for many widely used editors including Visual Studio Code, Vim, and Emacs. F# is a member of the ML language family and originated as a .NET Framework implementation of a core of the programming language OCaml. It has also been influenced by C#, Python, Haskell, Scala and Erlang. F# uses an open development and engineering process. The language evolution process is managed by Don Syme from Microsoft Research as the benevolent dictator for life (BDFL) for the language design, together with the F# Software Foundation. Earlier versions of the F# language were designed by Microsoft and Microsoft Research using a closed development process. F# was first included in Visual Studio in the 2010 edition, at the same level as Visual Basic and C# (albeit as an option), and has remained in subsequent editions, thus making the language widely available and well-supported. F# originates from Microsoft Research, Cambridge, UK. The language was originally designed and implemented by Don Syme, according to whom in the fsharp team, they say the F is for "Fun". Andrew Kennedy contributed to the design of units of measure. The Visual F# Tools for Visual Studio are developed by Microsoft. The F# Software Foundation developed the F# open-source compiler and tools, incorporating the open-source compiler implementation provided by the Microsoft Visual F# Tools team.
[2]Paolo Prandoni, [3]LCAV, EPFL
This notebook shows a simple way to process audio files (in WAV format)
in a block-by-block fashion; this is useful in two cases
1. when you want to process a data stream in real time but you can
accept a small processing delay; in this case a buffered approach
can yield computational gains
2. when you need to process a large file that does not fit entirely
into [2]Paolo Prandoni, [3]LCAV, EPFL
In this notebook we will look at the practical issues associated to
plotting the DFT and in particular the DFT of real-world signals. We
will examine how to map the DFT coefficients to real-world frequencies
and we will investigate the frequency resolution of the DFT and the
effects of zero padding.
In [1]: