Copyright (c) 2009, Motorola, Inc All Rights Reserved. Redistribution and use in source and binary forms, with or without modification, are permitted provided that the following conditions are met: * Redistributions of source code must retain the above copyright notice, this list of conditions and the following disclaimer. * Redistributions in binary form must reproduce the above copyright notice, this list of conditions and the following disclaimer in the documentation and/or other materials provided with the distribution. * Neither the name of Motorola nor the names of its contributors may be used to endorse or promote products derived from this software without specific prior written permission. THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. -------------------------------------------- OVERVIEW This package provides a C++ object for efficient, polyphase FIR resampling along with a python module with a functional and object interface. See INSTALL.txt for notes about installation. ALGORITHM DESCRIPTION A "filter bank with resampling" is an operation on an input signal that generates an output signal, consisting of the following 3 steps: 1) upsampling (that is, zero-insertion) of the input signal by an integer factor (call it P). 2) applying an FIR (finite-impulse response filter) to the result of 1). 3) downsampling (that is, decimation) of the result of 2) by an integer factor (call it Q). For an input signal with sampling rate T, the generated output signal has sampling rate of P/Q*T. The FIR filter is usually designed to prevent aliasing from corrupting the output signal. An "efficiently implemented, polyphase filter bank with resampling" implements these three operations with a minimal amount of computation. The algorithm is an implementation of the block diagram shown on page 129 of the Vaidyanathan text [1] (Figure 4.3-8d). [1] P. P. Vaidyanathan, Multirate Systems and Filter Banks, Prentice Hall, 1993. PACKAGE OVERVIEW PYTHON The module "upfirdn" provides a functional and object interface. upfirdn -- function ResamplerBank -- object These python wrappers support multi-dimensional arrays according to the usual numpy broadcasting rules. See their doc-strings for usage notes. SWIGGED C++ The Resampler object defined in Resampler.h is templatized on input signal, output signal, and coefficient types. The _Resampler module is a shared-object extension built from the C++ by SWIG with typemaps and template instantiations as defined in Resampler.i. It provides 4 template instantiations: ResamplerRR, ResamplerRC, ResamplerCR, ResamplerCC where the "R/C" denotes real or complex, for the signal type, and the coefficient type.