Fpga implementation of trapeziodal filters final presentation
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FPGA implementation of trapeziodal filters final presentation. Instructor: Evgeniy Kuksin Preformed by: Ziv Landesberg Duration: 1 semester . Project goal from presentation.

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Fpga implementation of trapeziodal filters final presentation

FPGA implementation of trapeziodal filtersfinal presentation

Instructor: EvgeniyKuksin

Preformed by: ZivLandesberg

Duration: 1 semester


Project goal from presentation

Project goal from presentation

  • Create a FIR filter that can process pulses from photon counting detectors and perform Peak Detection using NI Labview FPGA.


Progress so far

Progress so far

  • The project is completed!

  • Final clock rate – 125MHz (due A/D)

  • Successfully processing 4 channel simultaneously


System description

System description

Photons

FPGA

-

Readout

To PC

Peak

Detector

Shaper

ADC

+


Project block diagram

Project Block Diagram

  • A\D

  • NI 5761

  • 14 bit

  • 125 MHz

FPGA(125MHz)

  • Signal generator

  • (Preamplifier emulator)


Reasons to use trapezoidal shaper over other shapers

Reasons to use Trapezoidal shaper over other shapers

  • Trapezoidal can achieve optimal noise performance from signal. Trapezoidal Shaper, unlike many analog pulse shaper, immune to “ballistic deficit”, that causes energy distortion in the spectrum.

  • Trapezoidal shaper can not be implemented by analog circuits.


Coefficients calculation

Coefficients calculation

  • The Coefficients were calculated by the method at the article of “On nuclear spectrometry pulses digital shaping and processing” , the biexponential pulse part.

    the method is to inverse the transfer function of the pulse(making it a digital delta) , and then convolute the delta with a trapezoid. Due to the fact that both the inverse function of the pulse and the trapezoid were finite length , the resulted filter was FIR.


Coefficients calculation code

Coefficients calculation code

Calctrapez impulse response

Delete zeroes from output

Calc invers function of pulse


The signal generation

The signal generation

  • The input signal was generated at 2 main stages :

  • 1) create an array with Poisson distributed digital delta’s in it. It was done by the Poisson noise generator, that each event was transformed to delta, and each none event was transformed to zero.

  • 2 ) transfer the deltas to linear rising- exponential decaying pulse, was done simply by convoluting the array with the response of such pulse(with cut-off values lower than exp(-10 ))


Signal generation code

Signal generation code

Convolut deltas with wanted shape

Shape of a pulse

Impulse generating


Relevant graphs to previous slide

Relevant graphs to previous slide

Impulses

Wanted shape

Resulted signal


The method of building the filter

The method of building the filter

The building of the filter in Labview was done using the fir template already existing in the program.

So first stage was to create a fds file to generate filter from it.

The second stage was to use the automatic filter generation


Building fds file

Building fds file


The generation window

The generation window


Synthesis result

Synthesis result


Device resources

Device resources

Distributed arithmetic does not use DSP units !


Sucessful results at 150mhz no noise

Sucessful results at 150MHz(no noise)

Input signal

Shaped signal


Successful result with noise

Successful result with noise

Input signal

Shaped signal

Result of shaper with ballistic defflict

histogram


Trapezoid in time no noise but with quantization effect

Trapezoid in time(no noise, but with quantization effect)


Trapezoid in time with noise

Trapezoid in time(with noise)


The debbug system on fpga

The debbug system on FPGA


Final system part1

Final system(part1)


Final system part2

Final system(part2)


Final graph result 8 length 1 rise time

Final graph result(8 length, 1 rise time)

Current

Next shper (8 rise time)

6 rise time shaper


Final result 16 length 8 rise time

Final result(16 length- 8 rise time)


Final result 16 length 6 rise time

Final result (16 length, 6 rise time)


Sum up results of last three shapers

Sum up results of last three shapers

Mean-60

Std-60

Mean-120

Std-120

Std-140

Mean-140


Chart

chart


Amount of resource for 16 length trapez

Amount of resource for 16 length trapez


Multi channeling

Multi channeling


Compilation result of multi channeling

Compilation result of multi channeling


Final timing of multi channel

Final timing of multi channel


Result channel 0

Result- channel 0


Result channel 1

Result- channel 1


Result channel 2

Result- channel 2


Result channel 3

Result- channel 3


Sum up multi channel results

Sum up multi-channel results

mean

std


Conclusion

conclusion

  • The shaper which is most resistance to noise is the 16 length, with 8(sample) rise time. But apparently he is effected by quantization effect, and he caused distortion in pulses heights( probably because they have different rise time)

  • The 8 length shaper is nearly unaffected by quantization effect, and is the not distortive . The third filter is kind of the middle between them, with low noise and low distortion.


Conclusion improvements

Conclusion(improvements)

  • The final system is operating at 125MHz due to the clock rate of the A/D(can only be 125MHz or 250MHz). However the “bottle neck” of the system is the FIFO to the host, so in order to increase throughput we could create the histogram of the peak detector on the FPGA himself, and send it to the host(needs slower FIFO to do it).


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