# Using the MAX4090 with the Reconstruction Filter

#### 概要

For standard video signal, the video passband is about 6MHz and the system over-sampling frequency is at 27MHz. Normally, A 9MHz BW lowpass filter (LPF) is required for the reconstruction filter. The following paragraphs talk about the methods to build simple 2nd- and 3rd-order passive butterworth lowpass filters at 9MHz cutoff frequency and the techniques to use them with the MAX4090 (Figure 1 and Figure 4).

#### 2nd-Order Butterworth Lowpass Filter Realization

Table 1 shows the normalized 2nd-order butterworth LPF component values at 1rad/s with a source/load impedance of 1Ω.

Table 1.

Rn1 = Rn2 (Ω) Cn1 (F) Ln1 (H)
1 1.414 1.414

With the following equations, the L and C can be calculated for the cutoff frequency at 9MHz. Table 2 shows the appropriated L and C values for different source/load impedance and the bench measurement values for the -3dB BW and attenuation at 27MHz. There is approximately 20dB attenuation at 27MHz, which attenuates the sampling aliases effectively. The MAX4090 requires low input impedance for stable operation and it doesn't like the reactive input impedance. For R1/R2 greater than 100Ω, a series resistor RIS (Figure 1) between 20Ω to 100Ω is needed to isolate the input capacitor (C4) to the filter to prevent the oscillation problem. #### 詳細

For standard video signal, the video passband is about 6MHz and the system over-sampling frequency is at 27MHz. Normally, A 9MHz BW lowpass filter (LPF) is required for the reconstruction filter. The following paragraphs talk about the methods to build simple 2nd- and 3rd-order passive butterworth lowpass filters at 9MHz cutoff frequency and the techniques to use them with the MAX4090 (Figure 1 and Figure 4).

#### 2nd-Order Butterworth Lowpass Filter Realization

Table 1 shows the normalized 2nd-order butterworth LPF component values at 1rad/s with a source/load impedance of 1Ω.

Table 1.

Rn1 = Rn2 (Ω) Cn1 (F) Ln1 (H)
1 1.414 1.414

With the following equations, the L and C can be calculated for the cutoff frequency at 9MHz. Table 2 shows the appropriated L and C values for different source/load impedance and the bench measurement values for the -3dB BW and attenuation at 27MHz. There is approximately 20dB attenuation at 27MHz, which attenuates the sampling aliases effectively. The MAX4090 requires low input impedance for stable operation and it doesn't like the reactive input impedance. For R1/R2 greater than 100Ω, a series resistor RIS (Figure 1) between 20Ω to 100Ω is needed to isolate the input capacitor (C4) to the filter to prevent the oscillation problem. Table 2.

R1 = R2 (Ω) C1 (pF) L1 (µH) RIS (Ω) 3dB BW (MHz) Attenuation at 27MHz (dB)
75 330 1.8 0 8.7 20
150 150 3.9 50 9 20
200 120 4.7 50 9.3 22
300 82 8.2 100 8.7 20 Figure 1.

Figure 2 shows the frequency response for R1 = R2 = 150Ω. At 6MHz, the attenuation is about 1.4dB. The attenuation at 27MHz is about 20dB. Figure 3 shows the multiburst response for R1 = R2 = 150Ω. Figure 2. Frequency response. Figure 3. Multiburst response.

#### 3rd-Order Butterworth Lowpass Filter Realization

If more flat passband and more stopband attenuation are needed, a 3rd-order LPF can be used.

Table 3 shows the normalized 3rd-order butterworth lowpass filter with the cut off frequency at 1rad/s and the stopband frequency at 3rad/s. Table 4 shows the appropriated L and C values for different source/load impedance and the bench measurement values for -3dB BW and attenuation at 27MHz. The attenuation is over 40dB at 27MHz. At 6MHz, the attenuation is approximately 0.6dB for R1 = R2 = 150Ω (Figure 5).

Table 3.

Rn1 = Rn2 (Ω) Cn1 (F) Cn2 (F) Cn3 (F) Ln1 (H)
1 0.923 0.923 0.06 1.846

Table 4.

R1 = R2 (Ω) C1 (pF) C2 (pF) C3 (pF) L (µH) RIS (Ω) 3dB BW (MHz) Attenuation at 27MHz (dB)
75 220 220 15 2.2 0 9.3 43
150 120 120 6.8 4.7 50 8.9 50
300 56 56 3.3 10 100 9 45 Figure 4. Figure 5.

#### Sag Correction

In a 5V application, the MAX4090 can use the Sag configuration if an AC-coupled output video signal is required. Sag correction refers to the low frequency compensation for the highpass filter formed by the 150Ω load and the output capacitor. In video application, the cutoff frequency must be low enough to pass the vertical Sync interval to avoid field tilt. This cutoff frequency should be less than 3Hz to 5Hz, and the coupling capacitor must be very large in normal configuration, typically > 220µF. In Sag configuration, the MAX4090 eliminates the need for large coupling capacitor, and instead requires two 22µF capacitors (Figure 6). Bench experiment shows that increasing the output coupling capacitor C5 beyond 47µF doesn't improve the performance. If the supply voltage is less than 4.5V, the Sag correction is not recommended for the MAX4090. Figure 6.

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#### 使用製品

• 2.7V～5.5Vの単一電源動作
• 入力同期チップクランプ
• DC結合出力