### Citations

7431 | Convex Optimization
- Boyd, Vandenberghe
- 2004
(Show Context)
Citation Context ...λ ( 1 K K∑ k=1 S − 12 q (k)− √ 12P fB − fA ) , (7) where λ is a Lagrange multiplier. As both the information loss (3) and the power constraint formed from (6) are convex, their sum (7) is also convex =-=[2]-=-. Taking first order partial derivatives with respect to Sq(k) and λ, setting the results to 0 and using the assumption that Sq(f) is small relative Sv(f) creates the system of equations ∂J ∂Sq(k) =0⇒... |

957 |
Communication in the presence of noise,” in
- Shannon
- 1949
(Show Context)
Citation Context ...d Gaussian, the maximum information in a signal occupying frequencies fA to fB is Cb = ∫ fB fA log2 [ 1 + Sx(f) Sv(f) ] df (1) where f is frequency, Sx(f) is the signal PSD and Sv(f) is the noise PSD =-=[1]-=-. Modeling the effect of the ADC as adding shaped quantization noise with PSD Sq(f) to the signal, the maximum information in the signal after the ADC is Ca ≈ ∫ fB fA log2 [ 1 + Sx(f) Sv(f) + Sq(f) ] ... |

59 | Analog-to-information conversion via random demodulation, Design, Applications, Integration and Software,
- Kirolos, Laska, et al.
- 2006
(Show Context)
Citation Context ...mple of bits vs. frequency shaping for cases when the input signal is sparse in frequency and the sampling rate is proportional to the occupied signal bandwidth rather than the total system bandwidth =-=[5]-=-. Ignoring noise folding issues which arise when unwanted signals are also present, this can be viewed as an on/off shaping of the quantization noise where 0 bits are assigned to frequencies where the... |

35 |
A/d converter trends: Power dissipation, scaling and digitally assisted architectures.
- Murmann
- 2008
(Show Context)
Citation Context ...ntiguous block of frequencies to be reproduced with high fidelity, but also has the drawback of requiring a large amount of ADC power PADC ∝ ∆f2b where ∆f is the bandwidth and b is the number of bits =-=[6]-=-, [7]. Considering the analog signal in more detail, there are cases where the signal resides within a contiguous band of frequencies but within those frequencies the information content of the signal... |

10 | Ultra-wideband analog-to-digital conversion via signal expansion
- Hoyos, Sadler
- 2005
(Show Context)
Citation Context ...om). be done via changing the constant bits vs. frequency profile for delta sigma ADCs on a per channel basis [3], projecting the received signal on a basis optimized for the signal before conversion =-=[4]-=-, [9] and by allocating more ADCs to bands where the signal has a higher variance [10]. Efficient shaping for these cases relies on having a sufficiently large number of ADCs such that the SNR of the ... |

6 |
ADC performance survey 1997-2012," [Online]. Available at: http://www.stanford.edu/~murmann/adcsurvey.html
- Murmann
(Show Context)
Citation Context ...ous block of frequencies to be reproduced with high fidelity, but also has the drawback of requiring a large amount of ADC power PADC ∝ ∆f2b where ∆f is the bandwidth and b is the number of bits [6], =-=[7]-=-. Considering the analog signal in more detail, there are cases where the signal resides within a contiguous band of frequencies but within those frequencies the information content of the signal is n... |

3 |
Combining subband decomposition and sigma delta modulation for wideband A/D conversion
- Cormier, Sculley, et al.
- 1994
(Show Context)
Citation Context ...ts Systems and Applications R&D Center, Dallas, TX 75243 USA (e-mail: {redfern, kshi}@ti.com). be done via changing the constant bits vs. frequency profile for delta sigma ADCs on a per channel basis =-=[3]-=-, projecting the received signal on a basis optimized for the signal before conversion [4], [9] and by allocating more ADCs to bands where the signal has a higher variance [10]. Efficient shaping for ... |

3 |
Sigma-Delta Modulators: Tutorial Overview, Design Guide, and State-of-the-Art Survey
- Rosa
- 2011
(Show Context)
Citation Context ...ce at the summation node will be at higher frequencies and generate a shaped quantization error with it’s power pushed outside the signal band. A delta sigma ADC can be represented in the z domain by =-=[8]-=- Y (z) = STF(z)X(z) + NTF(z)Q(z), (13) where X(z), Y (z) and Q(z) are the z transforms of the ADC input, output and quantization error, respectively, and STF(z) and NTF(z) are the signal and noise tra... |

1 | Wideband receiver design in the presence of strong narrowband interference
- Wang, Zhi
- 2008
(Show Context)
Citation Context ...be done via changing the constant bits vs. frequency profile for delta sigma ADCs on a per channel basis [3], projecting the received signal on a basis optimized for the signal before conversion [4], =-=[9]-=- and by allocating more ADCs to bands where the signal has a higher variance [10]. Efficient shaping for these cases relies on having a sufficiently large number of ADCs such that the SNR of the recei... |

1 |
Design of frequency domain A/D conversion based UWB receiver in the presence of quantization noise,” ICCCAS
- Yang, Jiang, et al.
- 2008
(Show Context)
Citation Context ...s on a per channel basis [3], projecting the received signal on a basis optimized for the signal before conversion [4], [9] and by allocating more ADCs to bands where the signal has a higher variance =-=[10]-=-. Efficient shaping for these cases relies on having a sufficiently large number of ADCs such that the SNR of the received signal does not change significantly within the band converted by the 1 of th... |