By Friedel Gerfers, Maurits Ortmanns
Read or Download Continuous-Time Sigma-Delta A D Conversion: Fundamentals, Performance Limits and Robust Implementations (Advanced Microelectronics, Volume 21) PDF
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This ebook contains standart program circuits and circuits designed through the writer
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Extra info for Continuous-Time Sigma-Delta A D Conversion: Fundamentals, Performance Limits and Robust Implementations (Advanced Microelectronics, Volume 21)
Around f = 0, and thus quantization noise is suppressed here, in bandpass Σ∆ modulators H(z) shows this high gain around f0 > 0. The subsequent decimation ﬁlter is then designed to remove the noise content outside the signal band, this time around the center frequency f0 > 0. Concurrently, the sampling rate is reduced and the signal translated into the baseband for further digital processing. The simplest way to synthesize bandpass Σ∆ loop ﬁlters is to start the design of a LP ﬁlter as described above, and then transforming the LP to a bandpass characteristic.
10. 10), it reveals that the loop ﬁlter H(z) should show a large gain within the in-band, while its gain may decrease outside the desired frequency bandwidth. 12) 1 − z −1 and the resulting architecture is the ﬁrst-order Σ∆ modulator. 13) where the NTF tends to realize a high-pass ﬁlter function for low frequencies. The eﬀect of such noise shaping is illustrated in Fig. 11. Obviously, in addition to the reduction of the quantization noise due to oversampling, the eﬀect of noise shaping shifts the majority of the remaining noise power to higher frequencies.
In Appendix A, the Matlab program code is explained, which has been used to obtain the performance measures from the discrete-time output bitstream of the ADC. The given code has been partially chosen according to . , the reference voltage Vref of the modulator. An input larger than that inherently overloads the converter 2 Basic Understanding of Σ∆ A/D Conversion SNR, SNDR [dB] Linear loss SNDRp co nv er te co r pe nv rf er or te m r pe an rf ce or m an ce Overload loss R ea l Id ea l SNR SNDR SNRp 16 DR Vref OL Pin [dB] Fig.