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4.Measurement results DNL:

INL:

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Spectrum:

SNR & THD

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§13-8 Folding and Interpolating ADC

Ref.: Johns & Martin, Analog IC Design, pp. 516-523.

§13-8.1 Interpolating ADC

* The number of input amplifiers (or comparators as in flash ADC) attached to Vin can be significantly reduced by interpolating between adjacent output of these amplifiers.

A 4-bit interpolating ADC with interpolating factor of 4

*Transfer response of V1, V2a, V2b, V2c, V2 vs. Vin: Logic 1 = 5V, Logic 0 = 0V Gain of input amplifier = -10

Latch threshold = 2.5V

More reference levels between V1 and V2: V2a, V2b, V2c.

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Possible transfer responses for the input-comparator output signals, V1 and V2, and their interpolated signals

*If V1 and V2 are accurately linear between their own thresholds, i.e. 0.25V < Vin < 0.5V

Þcorrect crossing points of the latch threshold.

Þlinearity -.

And the rest of the interpolated signal responses are of secondary importance.

*For fast operation, the delays of latches must be equalized by adding series resistors.

*Interpolation can be implemented by R string, current mirrors or capacitors.

Adding series resistors to equalize delay times to the latch comparators

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§13-8.2 Folding ADC

A 4-bit folding ADC with a folding rate of 4.

*The use of a folding architecture to reduce significantly the number of latch comparators (2N in interpolating ADC).

*The use of analog preprocessing to determine the LSB set directly.

*Folding rate ≡ the number of output transitions for a single folding block as Vin is swept over its input range.

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A folding block with a folding-rate of four. (a) A possible single-ended circuit realization; (b) input-output response.

*4-bit folding ADC architecture: MSB 2-bit: flash

LSB 2-bit: folding

LSB: V1, V2, V3, and V4 produce a thermometer code for each of the four MSB regions.

* Examples: Vin:

0 ® 1/4 V

Thermometer code: 0000, 0001, 0011, 0111, 1111

Vin:

1/4 V ® 1/2 V

Thermometer code: 1110, 1100, 1000, 0000

*Total number of latches: 8

as compared to 16 in flash ADC.

*No S/H is required.

*Folding blocks realized by BJT cross-coupled differential pairs as an example.

*Large input capacitance seen by Vin.

*The output signal frequency = input signal frequency ´ folding rate Þ limits the practical folding rate used in high-speed converter.

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§13-8.3 Folding and Interpolating ADC

A 4-bit folding A/D converter with a folding rate of four and an interpolate-by-two. (The MSB converter would usually be realized by combining some folding-block signals.)

* Folding rate: 4;

Interpolation: 2

*V4 is a new inverted signal from V4.

*Latch number ↓ Input capacitance ↓

*Capable of > 100 MHz operation.

*Can be implemented in CMOS.

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§13-8.4 A 400-Ms/s 6-bit CMOS Folding and Interpolating ADC

Ref.: IEEE JSSC, vol. 33, no. 12, pp. 1932-1938, Dec.1998

1.The structure of a folder with differential outputs.

*A practical folder has 5 amplifiers.

2. A 3-bit folding converter and its cyclic code:

*Folding rate N, full-scale sinusoid

ÞFolded signal frequency

»π2 N×frequency Fin

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3. The block diagram of the 6-bit converter

Fig. 5 Block diagram of the 6-bit converter

4. The folder structure:

*Folding rate: 4 Interpolation: 2

*16 comparators and 16 folders → cyclic thermometer → 5 LSBs.

*5 amplifiers are used

*Two stages → higher gm.

*Resistor load → better transient performance.

*Output current mode → speed −.

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