# 0.7 Results

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This module contains the full compilation of testing results for the filter bank project.

## Testing parameters

All data was collected on a laptop equipped with an AMD A6-3400M “Llano” quad-core processor which supports a clock rate of up to 2.3 GHz.

 Test Parameters Test Filter 4-pole Butterworth bandpass filter Input channels 256 Time samples 600,000 Data filter cycles 100 Compiler GCC

The following results tables show the individual parameters of experiments, averaged run times of the program and an indicator of the real-time processing speed of the program (the formula to generate this figure is shown in the equation below).

$\frac{{F}_{s}}{\frac{N}{t}}=\frac{{F}_{s}t}{N}$

where ${F}_{s}=$ sampling rate of incoming data (samples/sec), $N=$ number of samples processed by filter bank (samples), and $t=$ time to process all samples (sec).

## Comparison of optimizations using compiler flags and intrinsics

 Unique Filter Coefficients Optimization Time (sec) secs/sec (25 KS/s) None 619.940 0.25831 O3 Compiler 241.131 0.10047 O3 and SSE3 75.589 0.03150 O3 and our SSE3 69.258 0.02886 Constant Filter Coefficients O3 and SSE3 55.835 0.02326 O3 and our SSE3 49.271 0.02053

 POSIX Threads Optimization Time (sec) secs/sec (25 KS/s) 0 Threads and our SSE3 48.333 0.02014 1 Thread and our SSE3 50.109 0.02088 2 Threads and our SSE3 88.632 0.03693 4 Threads and our SSE3 138.090 0.05754 8 Threads and our SSE3 62.481 0.02603 16 Threads and our SSE3 103.901 0.04329 32 Threads and our SSE3 78.219 0.03259 0 Threads and SSE3 48.075 0.02003 1 Thread and SSE3 64.302 0.02679 2 Threads and SSE3 96.755 0.04031 4 Threads and SSE3 123.931 0.05164 8 Threads and SSE3 67.629 0.02818 16 Threads and SSE3 141.329 0.05889 32 Threads and SSE3 121.134 0.05047
 Reordered Output Data Optimization Time (sec) secs/sec (25 KS/s) 0 Threads and SSE3 50.106 0.02088 1 Thread and SSE3 49.302 0.02054 2 Threads and SSE3 78.888 0.02054 4 Threads and SSE3 89.939 0.03747 8 Threads and SSE3 35.283 0.01470 16 Threads and SSE3 71.337 0.02972 32 Threads and SSE3 109.112 0.04546 Reordered Intermediate Variables 0 Threads and SSE3 71.166 0.02965 1 Thread and SSE3 57.156 0.02382 2 Threads and SSE3 52.639 0.02193 4 Threads and SSE3 48.939 0.02039 8 Threads and SSE3 33.589 0.01400 16 Threads and SSE3 51.543 0.02148 32 Threads and SSE3 110.716 0.04613

## Comparison of initial optimizations to posix thread implementation

Our optimal filter design incorporated a combination of several of the methods we used to optimize our filter bank implementation. It made use of compiler-level optimization, SSE instructions, and POSIX threads. It processed 60 million samples for each of the 256 channels in 33.589 seconds. Assuming a 25 KHz sampling rate, each second of of data is processed in 14 milliseconds (25 KS/s) and thus acceptable for real-time processing.

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