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PFB diagrams

These diagrams are licensed under CC-BY 4.0. So yes, you can use them in a thesis / paper / blog post, as long as you follow the CC-BY rules.

fb_comparison.pdf

fb_comparison.png


Comparison between ACS (dotted), FTF (dashed) and PFB 8-tap Hann windowed PFB filter responses.

fft_resp.pdf

fft_resp


Effect of applying a windowing function to an FFT. The main lobe is broadened but the sidelobes are supressed.

fir_filter.pdf

fir_filter


Block diagram showing a FIR filter.

pfb_chart.pdf

pfb_chart


The diagram shows an input signal being divided into M taps, each with P points. Within each tap, the signal is multiplied by the filter coefficients, then a sum across taps is performed. After this, another P points are read, and the signals propagate left-to-right into the next tap (following the arrows).

pfb_fir_fft.pdf

pfb_fir_fft


Streaming DSP style diagram showing the PFB frontend connected to a FFT to form a polyphase filerbank.

pfb_scalloping.pdf

pfb_scalloping


Diagram showing scalloping loss between channels of a spectrometer

pfb_taps.pdf

pfb_taps


Another way of looking at taking filter coefficients and breaking them into subfilters.

wiener.pdf

wiener


The Wiener-Khinchin relation, and how it relates to spectrometers to compute the PSD.

window_fns.pdf

window_fns

Windowing functions and their magnitude squared filter response (i.e. spectrometer channel shape).