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Bessel Filter Prototype Element Values

Visit the Anatech Microwave websiteA Gaussian filter is a filter whose impulse response is a Gaussian function. Gaussian filters are designed to give no overshoot to a step function input while minimizing the rise and fall time. This behavior is closely connected to the fact that the Gaussian filter has the minimum possible group delay. Mathematically, a Gaussian filter modifies the input signal by convolution with a Gaussian function; this transformation is also known as the Weierstrass transform. - Wikipedia

The table below lists prototype element values for the normalized lowpass function, which assumes a cutoff frequency of 1 rad/sec and source and load impedances of 1 Ω. Either an input capacitor (top reference line in table) or an input inductor (bottom line in table) can be used.

Convert values to other cutoff frequencies, impedances, and to highpass, bandpass or bandstop using the equations here.




Prototype filter schematic - capacitor input - RF Cafe
Capacitor Input
Prototype filter schematic - inductor input - RF Cafe
Inductor Input

OrderC1L2C3L4C5L6C7L8C9L10
12.000         
20.5762.148        
30.33740.97052.2034       
40.23340.67251.08152.2404      
50.17430.50720.8041.1112.2582     
60.13650.40020.63920.85381.11262.2645    
70.11060.32590.52490.7020.8691.10522.2659   
80.09190.27190.44090.59360.73030.86951.09562.2656  
90.0780.23130.3770.51080.63060.74070.86391.08632.2649 
100.06720.19980.3270.44540.55280.64930.7420.85611.07812.2641
OrderL1C2L3C4L5C6L7C8L9C10

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RF Cascade Workbook
RF Cascade Workbook is a very extensive system cascaded component Excel workbook that includes the standard Gain, NF, IP2, IP3, Psat calculations, input & output VSWR, noise BW, min/max tolerance, DC power cauculations, graphing of all RF parameters, and has a graphical block diagram tool. An extensive User's Guide is also included. - Only $35.
RF system analysis including
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