Architectures and circuits for time- interleaved ADC’s Sandeep Gupta Teranetics, Santa Clara, CA Outline • Introduction to time-interleaved architectures. • Conventional Sampling architectures and their application space: – High accuracy (>7ENOB) for relatively lower sampling speeds (<1GS/s) – High sampling speeds, >1GS/s, up-to 20GS/s, lower accuracy (<7 ENOB) • Proposed architecture (ISSCC 2006) for broader application space. • Measured results for a 1GS/s 11 bit ADC based on the proposed architecture. Time-interleaved architectures Sub-ADC 1 Sub-ADC DSP Analog 2 input S/H /Array of Sub-S/H’s Sub-ADC N • Time interleaved architectures: – Efficient architectures for achieving accuracy at high speed. • Caveats: SNR limitations due to • Gain & Offset mismatches: Present in all time-interleaved architectures. • Phase & bandwidth mismatch: Dominant only in some time-interleaved architectures Mismatch errors: Intuitive reasoning Nyquist ADC, NOT interleaved 0 BW Fs/4 Fs/2 3*Fs/4 Fs in Sub-sampled ADC outputs, time-interleaved output 0 BW Fs/4 Fs/2 3*Fs/4 Fs in Sub-sampled ADC outputs recombined with perfectly matched array All periodic repetitions cancel except at integer multiples of Fs 0 BW Fs/4 Fs/2 3*Fs/4 Fs in Offset, gain, Phase Skew and bandwidth mismatch Fs/N+/- Fin Sub-sampled ADC outputs 0 Fin Fs/4 Fs/2 Offset mismatch Magnitude independent of Gain mismatch signal freq. Magnitude Phase, bandwidth dependent on mismatch signal freq. Phase and bandwidth mismatches • Phase mismatch: – Systematic mismatches in clocks • Layout ΔRC effects • generation of sub-sampled clocks – Random mismatch in clocks • Jitter • Sampling bandwidth mismatches – Primarily due to mismatch in switch resistance, layout ΔRC effects. – Dominant mechanism the phase shift caused by different sampling bandwidths. SNDR vs. phase/bandwidth mismatch • SNDR ~ α −20*log10(phase error) • Phase error (jitter/skews) = 2π*fin*(σ /fs) j – Wherein, σ is the RMS jitter OR the standard j deviation of the clock skew – fs, the sampling clock frequency • Phase error due to sampling bandwidth mismatch = 2π*fin*σ /f N BW – Wherein f is the sampling bandwidth of a bw normalized sub-channel. – Wherein σ is the standard deviation of the N bandwidth mismatch between sub-channels. SNDR vs. interleaving factor • SNDR α - 10*log10[1-1/N], mismatch σ being constant. (Ref: Seng Pan U et. al., IEEE trans. Inst. and measurement, Aug. 2004.) 100.5 100 99.5 B) 99 d R ( D N S 98.5 98 97.5 97 2 4 6 8 10 12 14 16 Amount of time interleaving (N) • However, physically mismatches (systematic/random) can increase with N (not taken in account in graph above) Conventional Architectures and their application landscape Conventional architecture 1 p<1>, 00 Advantage: Clock, Fs 1. Phase skews in p<i>, Sub-ADC Bandwidth mismatch errors, not much loss of accuracy. Vin S/H p<N>, 3600*(N-1)/N Disadvantages: 0-Fs/2 1. N/2 Sub-ADCs loading on Sub-ADC Held first sampler limits its BW, performance, Fs • Sub-ADC sampling p<1> speed still high, if N kept p<2> low. p<3> 2. Sub-ADC input signal held p<4> only for short time <(T/2=1/2Fs) Example: N=4
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