font meeting1 digital signal filtering n. blaskovic

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FONT Meeting 1

Digital signal filtering

N. Blaskovic

N. Blaskovic

Contents

• Fourier transforms of I and Q waveforms without BPF and with 714 MHz & C-band BPFs

• Digital LPF tests and application to data without BPFs

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Fourier transforms

• Waveforms and their Fourier transforms:– Without BPF (12 June)– With 714 MHz BPF on dipole signal (12 June)– With C-band BPF on dipole signal (19 June)

• New:– Pedestal subtracted– FFT of all usable samples (184 samples)

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IPA

IIP

A Q

no BPF

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IPA

IIP

A Q

714 MHz BPF

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IPA

IIP

A Q

C-band BPF

Digital filtering

• Use a 6th order low pass Butterworth filter• Cut-off frequency: 25 MHz• Sampling frequency: 238 MHz (SIS)

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25 MHz 119 MHz

25 MHz 119 MHz

Digital filtering

• Test 25 MHz digital LPF with signals:– A: sine waveform with 9.5 MHz frequency– B: sine waveform with 47.6 MHz frequency– C: sum of A and B

• Filtered signals are denoted Af, Bf & Cf, respectively

• Phase lag of filtered signals observed relative to unfiltered signals

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Digital filtering

• Digital LPF applied to data without BPFs:– 10 MHz LPF

(corresponding to 714 MHz BPF bandwidth)– 25 MHz LPF

(corresponding to C-band BPF bandwidth (?))

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IPA

IIP

A Q

no digital LPF

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IPA

IIP

A Q

10 MHz LPF

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IPA

IIP

A Q

25 MHz LPF

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Appendix

Waveforms and their Fourier transforms for IPB and IPC with different BPFs and 10 & 25 MHz digital LPFs without BPF

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IPB

IIP

B Q

no BPF

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IPB

IIP

B Q

714 MHz BPF

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IPB

IIP

B Q

C-band BPF

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IPB

IIP

B Q

10 MHz LPF

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IPB

IIP

B Q

25 MHz LPF

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IPC

IIP

C Q

no BPF

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IPC

IIP

C Q

714 MHz BPF

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IPC

IIP

C Q

C-band BPF

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IPC

IIP

C Q

10 MHz LPF

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IPC

IIP

C Q

25 MHz LPF

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