This section describes the various windowing functions in the math module. These windowing functions are useful for spectral approximation as they are compact in both the time and frequency domains.

http://liquidsdr.org/doc/windowing/

The window object is used to implement a sliding window buffer. It is essentially a first-in, first-out queue but with the constraint that a fixed number of elements is always available, and the ability to read the entire queue at once.

http://liquidsdr.org/doc/window/

This section describes the finite impulse response filter design capabilities in liquid. This includes basic low-pass filter design using the windowed- method, square-root Nyquist filters, arbitrary design using the Parks-McClellan algorithm, and some useful miscellaneous functions.

http://liquidsdr.org/doc/firdes/

In harmonic analysis, the spectral periodogram is an estimate of the spectral density of a signal over time. For a signal , the spectral content at time may be estimated over a time duration of seconds as where is a temporal windowing function to smooth transitions between transforms.

http://liquidsdr.org/doc/spgram/

This tutorial provides an overview of a well-known simple low-pass FIR filter design technique. This is part of my "DSP in 50 lines of C" series. The basic principle is to generate a sinc function and apply a smoothing window to it.

http://liquidsdr.org/blog/basic-fir-filter-design/

The ofdmflexframe family of objects (generator and synchronizer) realize a simple way to load data onto an OFDM physical layer system. OFDM has several benefits over traditional "narrowband" communications systems such as the flexframe objects ( section-framing-frames ).

http://liquidsdr.org/doc/ofdmflexframe/

This is the main documentation page for liquid-dsp.

http://liquidsdr.org/doc/

Finite impulse response polyphase filterbank channelizer with an output rate (firpfbch2).

http://liquidsdr.org/doc/firpfbch2/