🗊 Презентация Fast Frequency and Response Measurements using FFTs

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Fast Frequency and Response Measurements using FFTs, слайд №1 Fast Frequency and Response Measurements using FFTs, слайд №2 Fast Frequency and Response Measurements using FFTs, слайд №3 Fast Frequency and Response Measurements using FFTs, слайд №4 Fast Frequency and Response Measurements using FFTs, слайд №5 Fast Frequency and Response Measurements using FFTs, слайд №6 Fast Frequency and Response Measurements using FFTs, слайд №7 Fast Frequency and Response Measurements using FFTs, слайд №8 Fast Frequency and Response Measurements using FFTs, слайд №9 Fast Frequency and Response Measurements using FFTs, слайд №10 Fast Frequency and Response Measurements using FFTs, слайд №11 Fast Frequency and Response Measurements using FFTs, слайд №12 Fast Frequency and Response Measurements using FFTs, слайд №13 Fast Frequency and Response Measurements using FFTs, слайд №14 Fast Frequency and Response Measurements using FFTs, слайд №15 Fast Frequency and Response Measurements using FFTs, слайд №16 Fast Frequency and Response Measurements using FFTs, слайд №17 Fast Frequency and Response Measurements using FFTs, слайд №18 Fast Frequency and Response Measurements using FFTs, слайд №19 Fast Frequency and Response Measurements using FFTs, слайд №20 Fast Frequency and Response Measurements using FFTs, слайд №21 Fast Frequency and Response Measurements using FFTs, слайд №22 Fast Frequency and Response Measurements using FFTs, слайд №23 Fast Frequency and Response Measurements using FFTs, слайд №24 Fast Frequency and Response Measurements using FFTs, слайд №25 Fast Frequency and Response Measurements using FFTs, слайд №26 Fast Frequency and Response Measurements using FFTs, слайд №27 Fast Frequency and Response Measurements using FFTs, слайд №28 Fast Frequency and Response Measurements using FFTs, слайд №29 Fast Frequency and Response Measurements using FFTs, слайд №30 Fast Frequency and Response Measurements using FFTs, слайд №31 Fast Frequency and Response Measurements using FFTs, слайд №32 Fast Frequency and Response Measurements using FFTs, слайд №33
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Fast Frequency and Response Measurements using FFTs Alain Moriat, Senior Architect Fri. 12:45p Pecan (9B)
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Fast Frequency and Response Measurements using FFTs Alain Moriat, Senior Architect Fri. 12:45p Pecan (9B)

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Accurately Detect a Tone What is the exact frequency and amplitude of a tone embedded in a complex signal? How fast can I perform these measurements?...
Описание слайда:
Accurately Detect a Tone What is the exact frequency and amplitude of a tone embedded in a complex signal? How fast can I perform these measurements? How accurate are the results?

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Presentation Overview Why use the frequency domain? FFT – a short introduction Frequency interpolation Improvements using windowing Error evaluation...
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Presentation Overview Why use the frequency domain? FFT – a short introduction Frequency interpolation Improvements using windowing Error evaluation Amplitude/phase response measurements Demos

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Clean Single Tone Measurement Clean sine tone Easy to measure
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Clean Single Tone Measurement Clean sine tone Easy to measure

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Noisy Tone Measurement Noisy signal Difficult to measure in the time domain
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Noisy Tone Measurement Noisy signal Difficult to measure in the time domain

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Fast Fourier Transform (FFT) Fundamentals (Ideal Case) The tone frequency is an exact multiple of the frequency resolution (“hits a bin”)
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Fast Fourier Transform (FFT) Fundamentals (Ideal Case) The tone frequency is an exact multiple of the frequency resolution (“hits a bin”)

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FFT Fundamentals (Realistic Case) The tone frequency is not a multiple of the frequency resolution
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FFT Fundamentals (Realistic Case) The tone frequency is not a multiple of the frequency resolution

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Input Frequency Hits Exactly a Bin Only one bin is activated
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Input Frequency Hits Exactly a Bin Only one bin is activated

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Input Frequency is +0.01 Bin “off” More bins are activated
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Input Frequency is +0.01 Bin “off” More bins are activated

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Input Frequency is +0.25 Bin “off”
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Input Frequency is +0.25 Bin “off”

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Input Frequency is +0.50 Bin “off” Highest side-lobes
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Input Frequency is +0.50 Bin “off” Highest side-lobes

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Input Frequency is +0.75 Bin “off” The Side lobe levels decrease
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Input Frequency is +0.75 Bin “off” The Side lobe levels decrease

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Input Frequency is +1.00 Bin “off” Only one bin is activated
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Input Frequency is +1.00 Bin “off” Only one bin is activated

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The Envelope Function
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The Envelope Function

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The Mathematics Envelope function: Bin offset: Real amplitude:
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The Mathematics Envelope function: Bin offset: Real amplitude:

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Demo Amplitude and frequency detection by Sin(x) / x interpolation
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Demo Amplitude and frequency detection by Sin(x) / x interpolation

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Aliasing of the Side-Lobes
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Aliasing of the Side-Lobes

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Weighted Measurement Apply a Window to the signal
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Weighted Measurement Apply a Window to the signal

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Weighted Spectrum Measurement Apply a Window to the Signal
Описание слайда:
Weighted Spectrum Measurement Apply a Window to the Signal

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Rectangular and Hanning Windows Side lobes for Hanning Window are significantly lower than for Rectangular window
Описание слайда:
Rectangular and Hanning Windows Side lobes for Hanning Window are significantly lower than for Rectangular window

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Input Frequency Exactly Hits a Bin Three bins are activated
Описание слайда:
Input Frequency Exactly Hits a Bin Three bins are activated

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Input Frequency is +0.25 Bin “off” More bins are activated
Описание слайда:
Input Frequency is +0.25 Bin “off” More bins are activated

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Input Frequency is +0.50 Bin “off” Highest side-lobes
Описание слайда:
Input Frequency is +0.50 Bin “off” Highest side-lobes

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Input Frequency is +0.75 Bin “off” The Side lobe levels decrease
Описание слайда:
Input Frequency is +0.75 Bin “off” The Side lobe levels decrease

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Input Frequency is +1.00 Bin “off” Only three bins activated
Описание слайда:
Input Frequency is +1.00 Bin “off” Only three bins activated

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The Mathematics for Hanning ... Envelope: Bin Offset: Amplitude:
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The Mathematics for Hanning ... Envelope: Bin Offset: Amplitude:

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A LabVIEW Tool Tone detector LabVIEW virtual instrument (VI)
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A LabVIEW Tool Tone detector LabVIEW virtual instrument (VI)

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Demo Amplitude and frequency detection using a Hanning Window (named after Von Hann) Real world demo using: The NI-5411 ARBitrary Waveform Generator...
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Demo Amplitude and frequency detection using a Hanning Window (named after Von Hann) Real world demo using: The NI-5411 ARBitrary Waveform Generator The NI-5911 FLEXible Resolution Oscilloscope

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Frequency Detection Resolution
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Frequency Detection Resolution

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Amplitude Detection Resolution
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Amplitude Detection Resolution

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Phase Detection Resolution
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Phase Detection Resolution

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Conclusions Traditional counters resolve 10 digits in one second FFT techniques can do this in much less than 100 ms Another example of 10X for test...
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Conclusions Traditional counters resolve 10 digits in one second FFT techniques can do this in much less than 100 ms Another example of 10X for test Similar improvements apply to amplitude and phase

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Conclusions (Notes Page Only) Traditional Counters Resolve 10 digits in one second FFT Techniques can do this in much less than 100 ms Another...
Описание слайда:
Conclusions (Notes Page Only) Traditional Counters Resolve 10 digits in one second FFT Techniques can do this in much less than 100 ms Another example of 10X for test Similar improvements apply to Amplitude and Phase

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