How to make a good, precise and simple - speakers crossover filter (two-way, first order) Tonal

This filter is the result of more than thirty years long research and practice in audio domain. A = Wanted attenuation in dB 1) The case when the HF (high frequency) unit needs to be attenuated (if the HF unit sensitivity is higher than the LF unit sensitivity) Z = impedance of the driver that needs attenuation (tweeter in this case). R(A) = R(attenuation) is, of course, a resistance needed to adjust sensitivities between the drivers. In this case, the sensitivity of the HF unit needs to be adjusted to the sensitivity of the LF unit, and such R(A) should be added in the filter-branch which leads to the HF driver (driver with higher sensitivity), after the capacity element (capacitor - C). Z(H) = Z + R(A) is the sum of impedance of the attenuated driver and wanted attenuation resistance, and as such, should be calculated to get a proper value for C. Z(L) is the original impedance of lower frequency driver. fc - crossover frequency Naturally, all of the values obtained may be slightly "rounded" (but as little as possible), for practical purposes. Precision and quality of R, C, and L elements are essential. Usually, phases should not be inverted. However, depending on drivers you chose as well as their mutual matching, there could be cases when tweeter polarity should be inverted. Therefore, I recommend trying both polarities of the tweeter. Undoubtedly, drivers you choose and their matching, loudspeakers building materials, and many other things are essential in loudspeakers building, but, that’s not an object here. 2) The case when the LF (low frequency) unit needs to be attenuated (if the LF unit sensitivity is higher than the HF unit sensitivity) Z = impedance of the driver that needs attenuation (mid/bass in this case). R(A) = R(attenuation) is, of course, a resistance needed to adjust sensitivities between the drivers. In this case, the sensitivity of the LF unit needs to be adjusted to the sensitivity of the HF unit, and such R(A) should be added in the filter-branch which leads to the LF driver (driver with higher sensitivity), after inductance element (coil - L). Z(L) = Z + R(A) is the sum of impedance of the attenuated driver and wanted attenuation resistance, and as such, should be calculated to get proper total impedance value for LF branch. In this case, special attention should be paid to the fact that R(A) must be capable to maintain (endure) very similar power (in Watts) as the chosen driver! Z(H) is the original impedance of the high-frequency driver. fc - crossover frequency Naturally, all of the values obtained may be slightly "rounded" (but as little as possible), for practical purposes. Precision and quality of R, C and L elements are essential. Usually, phases should not be inverted. However, depending on drivers you chose as well as their mutual matching, there could be cases when tweeter polarity should be inverted. Therefore, I recommend trying both polarities of the tweeter. Undoubtedly, drivers you chose and their matching, loudspeakers building materials, and many other things are essential in loudspeakers building, but, that’s not an object here. For additional questions: [email protected]