/* This software is part of libcsdr, a set of simple DSP routines for Software Defined Radio. Copyright (c) 2014, Andras Retzler 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 the copyright holder 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 ANDRAS RETZLER 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. */ #include "fastddc.h" //DDC implementation based on: //http://www.3db-labs.com/01598092_MultibandFilterbank.pdf inline int is_integer(float a) { return floorf(a) == a; } int fastddc_init(fastddc_t* ddc, float transition_bw, int decimation, float shift_rate) { ddc->pre_decimation = 1; //this will be done in the frequency domain ddc->post_decimation = decimation; //this will be done in the time domain while( is_integer((float)ddc->post_decimation/2) && ddc->post_decimation/2 != 1) { ddc->post_decimation/=2; ddc->pre_decimation*=2; } ddc->taps_real_length = firdes_filter_len(transition_bw); //the number of non-zero taps ddc->taps_length = ceil(ddc->taps_real_length/(float)ddc->pre_decimation) * ddc->pre_decimation; //the number of taps must be a multiple of the decimation factor ddc->fft_size = next_pow2(ddc->taps_length * 4); //it is a good rule of thumb for performance (based on the article), but we should do benchmarks while (ddc->fft_sizepre_decimation) ddc->fft_size*=2; //fft_size should be a multiple of pre_decimation ddc->overlap_length = ddc->taps_length - 1; ddc->input_size = ddc->fft_size - ddc->overlap_length; ddc->fft_inv_size = ddc->fft_size / ddc->pre_decimation; //Shift operation in the frequency domain: we can shift by a multiple of v. ddc->v = ddc->fft_size/ddc->overlap_length; //+-1 ? (or maybe ceil() this?) //TODO: why? int middlebin=ddc->fft_size / 2; ddc->startbin = middlebin + middlebin * shift_rate * 2; ddc->startbin = ddc->v * round( ddc->startbin / (float)ddc->v ); ddc->offsetbin = ddc->startbin - middlebin; ddc->post_shift = ((float)ddc->offsetbin/ddc->fft_size) - shift_rate; ddc->pre_shift = ddc->offsetbin * ddc->v; //Overlap is scraped, not added ddc->scrape=ddc->overlap_length/ddc->pre_decimation; ddc->output_size=ddc->fft_inv_size-ddc->scrape; return ddc->fft_size<=2; //returns true on error } void fastddc_print(fastddc_t* ddc) { fprintf(stderr, "fastddc_print_sizes(): (fft_size = %d) = (taps_length = %d) + (input_size = %d) - 1\n" "\t(overlap_length = %d) = taps_length - 1, taps_real_length = %d\n" "\tdecimation = (pre_decimation = %d) * (post_decimation = %d), fft_inv_size = %d\n" "\tstartbin = %d, offsetbin = %d, v = %d, pre_shift = %g, post_shift = %g\n" , ddc->fft_size, ddc->taps_length, ddc->input_size, ddc->overlap_length, ddc->taps_real_length, ddc->pre_decimation, ddc->post_decimation, ddc->fft_inv_size, ddc->startbin, ddc->offsetbin, ddc->v, ddc->pre_shift, ddc->post_shift ); } decimating_shift_addition_status_t fastddc_apply_cc(complexf* input, complexf* output, fastddc_t* ddc, FFT_PLAN_T* plan_inverse, complexf* taps_fft, decimating_shift_addition_status_t shift_stat) { //implements DDC by using the overlap & scrape method //TODO: +/-1s on overlap_size et al //input shoud have ddc->fft_size number of elements complexf* inv_input = plan_inverse->input; complexf* inv_output = plan_inverse->output; //Initialize buffers for inverse FFT to zero for(int i=0;isize;i++) { iof(inv_input,i)=0; qof(inv_input,i)=0; } //Alias & shift & filter at once // * no, we won't break this algorithm to parts that are easier to understand: now we go for speed for(int i=0;ifft_size;i++) { int output_index = (ddc->startbin+i)%plan_inverse->size; int tap_index = (ddc->fft_size+i-ddc->offsetbin)%ddc->fft_size; cmultadd(inv_input+output_index, input+i, taps_fft+tap_index); //cmultadd(output, input1, input2): complex output += complex input1 * complex input 2 } fft_execute(plan_inverse); //Normalize data for(int i=0;isize;i++) //@apply_ddc_fft_cc: normalize by size { iof(inv_output,i)/=plan_inverse->size; qof(inv_output,i)/=plan_inverse->size; } //Overlap is scraped, not added //Shift correction shift_addition_data_t dsadata=decimating_shift_addition_init(ddc->post_shift, ddc->post_decimation); //this could be optimized (passed as parameter), but we would not win too much at all shift_stat=decimating_shift_addition_cc(plan_inverse->output+ddc->scrape, output, ddc->output_size, dsadata, ddc->post_decimation, shift_stat); return shift_stat; }