# Chebyshev Filter Lowpass Prototype Element Values

Simulations of Normalized and Denormalized LP, HP, BP, and BS Filters

Lowpass Filters

(above)

Highpass Filters

(above)

Bandpass and Bandstop Filters

(above)

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 title line in table) or an input inductor (bottom title line in table) can be used. Note that for even order filters, the 0 Hz (DC) insertion loss is equal to the ripple value.

Convert values to other cutoff frequencies, impedances, and to highpass, bandpass or bandstop using denormalization equations. Complex poles are here.

 Capacitor Input Inductor Input

* Note: In the tables below of normalized Chebyshev filter components values, the right-most column is labeled "RLoad." This is necessary because even-order Chebyshev filters are not realizable when the source and termination impedances are exactly equal. A scaling factor is included for the termination impedance as shown.

## Normalized Chebyshev element values, 0.01 dB ripple*

 Capacitor Input, RS=RL=1 Ω, f=1 rad/sec Order C1 L2 C3 L4 C5 L6 C7 L8 C9 RLoad 2 0.4489 0.4078 0.9085 3 0.6292 0.9703 0.6292 1 4 0.7129 1.2004 1.3213 0.6476 0.9085 5 0.7563 1.3049 1.5773 1.3049 0.7563 1 6 0.7814 1.3600 1.6897 1.5350 1.4970 0.7098 0.9085 7 0.7970 1.3924 1.7481 1.6331 1.7481 1.3924 0.7970 1 8 0.8073 1.4131 1.7824 1.6833 1.8529 1.6193 1.5555 0.7334 0.9085 9 0.8145 1.4271 1.8044 1.7125 1.9058 1.7125 1.8044 1.4271 0.8145 1 L1 C2 L3 C4 L5 C6 L7 C8 L9 RLoad Inductor Input, RS=RL=1 Ω, f=1 rad/sec

## Normalized Chebyshev element values, 0.1 dB ripple*

 Capacitor Input, RS=RL=1 Ω, f=1 rad/sec Order C1 L2 C3 L4 C5 L6 C7 L8 C9 RLoad 2 0.8431 0.6220 0.7378 3 1.0316 1.1474 1.0316 1 4 1.1088 1.3062 1.7704 0.8181 0.7378 5 1.1468 1.3712 1.9750 1.3712 1.1468 1 6 1.1681 1.4040 2.0562 1.5171 1.9029 0.8618 0.7378 7 1.1812 1.4228 2.0967 1.5734 2.0967 1.4228 1.1812 1 8 1.1898 1.4346 2.1199 1.6010 2.1700 1.5641 1.9445 0.8778 0.7378 9 1.1957 1.4426 2.1346 1.6167 2.2054 1.6167 2.1346 1.4426 1.1957 1 L1 C2 L3 C4 L5 C6 L7 C8 L9 RLoad Inductor Input, RS=RL=1 Ω, f=1 rad/sec

## Normalized Chebyshev element values, 0.20 dB ripple*

 Capacitor Input, RS=RL=1 Ω, f=1 rad/sec Order C1 L2 C3 L4 C5 L6 C7 L8 C9 RLoad 2 1.0379 0.6746 0.6499 3 1.2276 1.1525 1.2276 1 4 1.3029 1.2844 1.9762 0.8468 0.6499 5 1.3395 1.3370 2.1661 1.3370 1.3395 1 6 1.3598 1.3632 2.2395 1.4556 2.0974 0.8838 0.6499 7 1.3723 1.3782 2.2757 1.5002 2.2757 1.3782 1.3723 1 8 1.3804 1.3876 2.2964 1.5218 2.3414 1.4925 2.1349 0.8972 0.6499 9 1.3861 1.3939 2.3094 1.5340 2.3728 1.5340 2.3094 1.3939 1.3861 1 L1 C2 L3 C4 L5 C6 L7 C8 L9 RLoad Inductor Input, RS=RL=1 Ω, f=1 rad/sec

## Normalized Chebyshev element values, 0.5 dB ripple*

 Capacitor Input, RS=RL=1 Ω, f=1 rad/sec Order C1 L2 C3 L4 C5 L6 C7 L8 C9 RLoad 2 1.4029 0.7071 0.5040 3 1.5963 1.0967 1.5963 1 4 1.6704 1.1926 2.3662 0.8419 0.5040 5 1.7058 1.2296 2.5409 1.2296 1.7058 1 6 1.7254 1.2478 2.6064 1.3136 2.4759 0.8696 0.5040 7 1.7373 1.2582 2.6383 1.3443 2.6383 1.2582 1.7373 1 8 1.7451 1.2647 2.6565 1.3590 2.6965 1.3389 2.5093 0.8795 0.5040 9 1.7505 1.2690 2.6678 1.3673 2.7240 1.3673 2.6678 1.2690 1.7505 1 L1 C2 L3 C4 L5 C6 L7 C8 L9 RLoad Inductor Input, RS=RL=1 Ω, f=1 rad/sec